66.509 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [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 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.041 * [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 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.071 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.071 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.071 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.071 * [taylor]: Taking taylor expansion of -1 in a 0.071 * [backup-simplify]: Simplify -1 into -1 0.071 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.071 * [taylor]: Taking taylor expansion of a in a 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [taylor]: Taking taylor expansion of (acos a) in a 0.073 * [backup-simplify]: Simplify (acos a) into (acos a) 0.073 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.073 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.073 * [taylor]: Taking taylor expansion of -1 in a 0.073 * [backup-simplify]: Simplify -1 into -1 0.073 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.073 * [taylor]: Taking taylor expansion of a in a 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (acos a) in a 0.073 * [backup-simplify]: Simplify (acos a) into (acos a) 0.073 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.073 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.073 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.074 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.075 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [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 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [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 0.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [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 0.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.086 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.086 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.086 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.086 * [taylor]: Taking taylor expansion of -1 in a 0.086 * [backup-simplify]: Simplify -1 into -1 0.086 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.086 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.086 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.086 * [taylor]: Taking taylor expansion of a in a 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.087 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.087 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.087 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.087 * [taylor]: Taking taylor expansion of -1 in a 0.087 * [backup-simplify]: Simplify -1 into -1 0.087 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.087 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.087 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.087 * [taylor]: Taking taylor expansion of a in a 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.088 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.088 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.089 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.091 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.092 * [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 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.094 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.096 * [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 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.099 * [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 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.099 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.099 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.099 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.099 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.100 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) 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 (* a (acos (/ -1 a)))) in a 0.100 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.101 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) 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 (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.109 * [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 0.109 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.112 * [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 0.112 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.116 * * * [progress]: simplifying candidates 0.118 * [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))) 0.120 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.122 * * [simplify]: Extracting # 5 : cost 0 0.122 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.174 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.175 * * [simplify]: Extracting # 2 : cost 0 0.175 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: iteration 1 : 171 enodes (cost 569 ) 0.237 * * [simplify]: Extracting # 0 : cost 0 0.238 * * [simplify]: Extracting # 1 : cost 0 0.239 * * [simplify]: Extracting # 2 : cost 0 0.240 * * [simplify]: Extracting # 3 : cost 0 0.241 * * [simplify]: Extracting # 4 : cost 0 0.242 * * [simplify]: iteration 2 : 459 enodes (cost 553 ) 0.472 * * [simplify]: Extracting # 0 : cost 0 0.477 * * [simplify]: Extracting # 1 : cost 0 0.488 * * [simplify]: Extracting # 2 : cost 0 0.491 * * [simplify]: Extracting # 3 : cost 0 0.495 * * [simplify]: Extracting # 4 : cost 0 0.499 * * [simplify]: iteration 3 : 1923 enodes (cost 551 ) 1.601 * * [simplify]: Extracting # 0 : cost 0 1.629 * * [simplify]: Extracting # 1 : cost 0 1.634 * * [simplify]: Extracting # 2 : cost 0 1.639 * * [simplify]: Extracting # 3 : cost 0 1.644 * * [simplify]: Extracting # 4 : cost 0 1.649 * * [simplify]: iteration done: 5000 enodes (cost 551 ) 1.649 * [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 -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 (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.650 * * * [progress]: adding candidates to table 1.779 * * [progress]: iteration 2 / 4 1.779 * * * [progress]: picking best candidate 1.793 * * * * [pick]: Picked # 1.793 * * * [progress]: localizing error 1.804 * * * [progress]: generating rewritten candidates 1.804 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.829 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.849 * * * [progress]: generating series expansions 1.849 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.849 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.849 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.849 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.849 * [taylor]: Taking taylor expansion of -1 in a 1.849 * [backup-simplify]: Simplify -1 into -1 1.849 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.849 * [taylor]: Taking taylor expansion of a in a 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (acos a) in a 1.849 * [backup-simplify]: Simplify (acos a) into (acos a) 1.849 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.849 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.849 * [taylor]: Taking taylor expansion of -1 in a 1.849 * [backup-simplify]: Simplify -1 into -1 1.850 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.856 * [taylor]: Taking taylor expansion of a in a 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of (acos a) in a 1.857 * [backup-simplify]: Simplify (acos a) into (acos a) 1.857 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.857 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.857 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.858 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.859 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.862 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [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 1.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [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 1.867 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [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 1.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.870 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 1.870 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.871 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.871 * [taylor]: Taking taylor expansion of -1 in a 1.871 * [backup-simplify]: Simplify -1 into -1 1.871 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.871 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.871 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.871 * [taylor]: Taking taylor expansion of a in a 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.871 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.871 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.872 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.872 * [taylor]: Taking taylor expansion of -1 in a 1.872 * [backup-simplify]: Simplify -1 into -1 1.872 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.872 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.872 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.872 * [taylor]: Taking taylor expansion of a in a 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.872 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.873 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.875 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.877 * [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 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.878 * [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 1.878 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.880 * [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 1.880 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.883 * [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 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.883 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.883 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.883 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.883 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.883 * [taylor]: Taking taylor expansion of a in a 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.884 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.884 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.884 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.884 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.884 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.885 * [taylor]: Taking taylor expansion of a in a 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.885 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.885 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.885 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.886 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.893 * [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 1.893 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.896 * [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 1.896 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.899 * [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 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.900 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.900 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.900 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.900 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.900 * [taylor]: Taking taylor expansion of -1 in a 1.900 * [backup-simplify]: Simplify -1 into -1 1.900 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.900 * [taylor]: Taking taylor expansion of (acos a) in a 1.900 * [backup-simplify]: Simplify (acos a) into (acos a) 1.900 * [taylor]: Taking taylor expansion of a in a 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.900 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.900 * [taylor]: Taking taylor expansion of -1 in a 1.900 * [backup-simplify]: Simplify -1 into -1 1.900 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.900 * [taylor]: Taking taylor expansion of (acos a) in a 1.900 * [backup-simplify]: Simplify (acos a) into (acos a) 1.900 * [taylor]: Taking taylor expansion of a in a 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.901 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.901 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.905 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.920 * [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 1.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.923 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 1.923 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.923 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.923 * [taylor]: Taking taylor expansion of -1 in a 1.923 * [backup-simplify]: Simplify -1 into -1 1.923 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.923 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.923 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.923 * [taylor]: Taking taylor expansion of a in a 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.923 * [taylor]: Taking taylor expansion of -1 in a 1.923 * [backup-simplify]: Simplify -1 into -1 1.923 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.923 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.923 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.923 * [taylor]: Taking taylor expansion of a in a 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.924 * [backup-simplify]: Simplify (* -1 0) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.925 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.925 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.926 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.937 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.937 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.937 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.937 * [taylor]: Taking taylor expansion of a in a 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.937 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.937 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.937 * [taylor]: Taking taylor expansion of a in a 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.937 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.938 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.938 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.945 * * * [progress]: simplifying candidates 1.948 * [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 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(acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos 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)))) 1) (/ (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))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos 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))) 1) (/ (- (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)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (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))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 1.953 * * [simplify]: Extracting # 0 : cost 0 1.954 * * [simplify]: Extracting # 1 : cost 0 1.954 * * [simplify]: Extracting # 2 : cost 0 1.954 * * [simplify]: Extracting # 3 : cost 0 1.955 * * [simplify]: Extracting # 4 : cost 0 1.955 * * [simplify]: Extracting # 5 : cost 0 1.956 * * [simplify]: iteration 0 : 288 enodes (cost 3166 ) 2.181 * * [simplify]: Extracting # 0 : cost 0 2.184 * * [simplify]: Extracting # 1 : cost 0 2.187 * * [simplify]: Extracting # 2 : cost 0 2.188 * * [simplify]: iteration 1 : 785 enodes (cost 2618 ) 2.711 * * [simplify]: Extracting # 0 : cost 0 2.718 * * [simplify]: Extracting # 1 : cost 0 2.727 * * [simplify]: Extracting # 2 : cost 0 2.735 * * [simplify]: Extracting # 3 : cost 0 2.744 * * [simplify]: Extracting # 4 : cost 0 2.754 * * [simplify]: Extracting # 5 : cost 0 2.759 * * [simplify]: iteration 2 : 3903 enodes (cost 2550 ) 3.865 * * [simplify]: Extracting # 0 : cost 0 3.874 * * [simplify]: Extracting # 1 : cost 0 3.885 * * [simplify]: Extracting # 2 : cost 0 3.896 * * [simplify]: iteration done: 5001 enodes (cost 2550 ) 3.899 * [simplify]: Simplified to: -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (- (/ (acos a) a)) 3)) (/ 1 (pow (- (/ (acos a) a)) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (* a (/ 1 (- (acos a)))) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) -1 (/ (acos a) 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 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) a) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) 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 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) a) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) 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 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) a) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (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 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* a (/ 1 (- (acos a)))) 1 (* a (/ 1 (- (acos a)))) (/ 1 (- (acos a))) a (* a (/ 1 (- (acos a)))) (- (/ (acos a) a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (sqrt (acos a))) (* (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) 0 (/ (acos 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) (/ (/ (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 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos 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) (/ (/ (- (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) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt 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) (/ 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) 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 (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 (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 3.902 * * * [progress]: adding candidates to table 4.347 * * [progress]: iteration 3 / 4 4.347 * * * [progress]: picking best candidate 4.362 * * * * [pick]: Picked # 4.363 * * * [progress]: localizing error 4.371 * * * [progress]: generating rewritten candidates 4.371 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.426 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.540 * * * [progress]: generating series expansions 4.540 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.540 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 4.540 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.540 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.541 * [taylor]: Taking taylor expansion of -1 in a 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.541 * [taylor]: Taking taylor expansion of a in a 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [taylor]: Taking taylor expansion of (acos a) in a 4.541 * [backup-simplify]: Simplify (acos a) into (acos a) 4.541 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.541 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.541 * [taylor]: Taking taylor expansion of -1 in a 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.541 * [taylor]: Taking taylor expansion of a in a 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 1 into 1 4.541 * [taylor]: Taking taylor expansion of (acos a) in a 4.541 * [backup-simplify]: Simplify (acos a) into (acos a) 4.541 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.541 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.542 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.542 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.543 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.545 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.545 * [backup-simplify]: Simplify 0 into 0 4.546 * [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 4.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [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 4.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.548 * [backup-simplify]: Simplify 0 into 0 4.549 * [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 4.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.550 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.550 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 4.551 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 4.551 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.551 * [taylor]: Taking taylor expansion of -1 in a 4.551 * [backup-simplify]: Simplify -1 into -1 4.551 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.551 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.551 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.551 * [taylor]: Taking taylor expansion of a in a 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.551 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.551 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.551 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.551 * [taylor]: Taking taylor expansion of -1 in a 4.551 * [backup-simplify]: Simplify -1 into -1 4.551 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.551 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.551 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.551 * [taylor]: Taking taylor expansion of a in a 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify 1 into 1 4.551 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.552 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.552 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.552 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.552 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.553 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.554 * [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 4.554 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.555 * [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 4.555 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.556 * [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 4.556 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.558 * [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 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.558 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.558 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.558 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.558 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.558 * [taylor]: Taking taylor expansion of a in a 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 1 into 1 4.558 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.558 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.558 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.559 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.559 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.559 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.559 * [taylor]: Taking taylor expansion of a in a 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.559 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.559 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.559 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.559 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.561 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.564 * [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 4.564 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.566 * [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 4.566 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.568 * [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 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.568 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.568 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 4.568 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.568 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.568 * [taylor]: Taking taylor expansion of -1 in a 4.568 * [backup-simplify]: Simplify -1 into -1 4.568 * [taylor]: Taking taylor expansion of (acos a) in a 4.568 * [backup-simplify]: Simplify (acos a) into (acos a) 4.568 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.568 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.568 * [taylor]: Taking taylor expansion of -1 in a 4.568 * [backup-simplify]: Simplify -1 into -1 4.568 * [taylor]: Taking taylor expansion of (acos a) in a 4.568 * [backup-simplify]: Simplify (acos a) into (acos a) 4.568 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.569 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.569 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [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 4.569 * [backup-simplify]: Simplify 0 into 0 4.570 * [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 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [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 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.570 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 4.570 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.570 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.570 * [taylor]: Taking taylor expansion of -1 in a 4.570 * [backup-simplify]: Simplify -1 into -1 4.570 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.570 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.571 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.571 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.571 * [taylor]: Taking taylor expansion of -1 in a 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.571 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.571 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.571 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.571 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [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 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [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 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [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 4.572 * [backup-simplify]: Simplify 0 into 0 4.573 * [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 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.573 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 4.573 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.573 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.573 * [taylor]: Taking taylor expansion of -1 in a 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.573 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.573 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.573 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.573 * [taylor]: Taking taylor expansion of -1 in a 4.573 * [backup-simplify]: Simplify -1 into -1 4.573 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.573 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.573 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.573 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.574 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [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 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [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 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [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 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [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 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.575 * * * [progress]: simplifying candidates 4.601 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (- 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(/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (sqrt a)) (* (/ 1 (- (cbrt (acos a)))) (sqrt a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (sqrt (acos a)))) (cbrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ 1 (- (sqrt (acos a)))) (sqrt (/ 1 a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (* (/ 1 a) (- (acos a))) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (pow (- (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 (/ 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 (/ 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 (/ 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 -1 (/ 1 (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ 1 (- (sqrt (acos a)))) -1 (/ 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)) 7.055 * * * [progress]: adding candidates to table 7.433 * * [progress]: iteration 4 / 4 7.433 * * * [progress]: picking best candidate 7.442 * * * * [pick]: Picked # 7.442 * * * [progress]: localizing error 7.454 * * * [progress]: generating rewritten candidates 7.454 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.501 * * * [progress]: generating series expansions 7.501 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.502 * [backup-simplify]: Simplify (* (/ 1 a) (acos a)) into (/ (acos a) a) 7.502 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 7.502 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.502 * [taylor]: Taking taylor expansion of (acos a) in a 7.502 * [backup-simplify]: Simplify (acos a) into (acos a) 7.502 * [taylor]: Taking taylor expansion of a in a 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.502 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.502 * [taylor]: Taking taylor expansion of (acos a) in a 7.502 * [backup-simplify]: Simplify (acos a) into (acos a) 7.502 * [taylor]: Taking taylor expansion of a in a 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.502 * [backup-simplify]: Simplify (acos a) into (acos a) 7.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify 0 into 0 7.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.510 * [backup-simplify]: Simplify 0 into 0 7.512 * [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 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 7.513 * [backup-simplify]: Simplify (* (/ 1 (/ 1 a)) (acos (/ 1 a))) into (* (acos (/ 1 a)) a) 7.513 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 7.513 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.513 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.513 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.513 * [taylor]: Taking taylor expansion of a in a 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.513 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.513 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.513 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.513 * [taylor]: Taking taylor expansion of a in a 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.514 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.514 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 7.514 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.517 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 7.518 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- a))) (acos (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 7.518 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 7.518 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 7.518 * [taylor]: Taking taylor expansion of -1 in a 7.518 * [backup-simplify]: Simplify -1 into -1 7.518 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.518 * [taylor]: Taking taylor expansion of a in a 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 1 into 1 7.518 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.518 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.518 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 7.518 * [taylor]: Taking taylor expansion of -1 in a 7.518 * [backup-simplify]: Simplify -1 into -1 7.518 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.518 * [taylor]: Taking taylor expansion of a in a 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 1 into 1 7.518 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.518 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.518 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.519 * [backup-simplify]: Simplify (* -1 0) into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.519 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 7.519 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 7.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 7.520 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 7.524 * [backup-simplify]: Simplify 0 into 0 7.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 7.531 * [backup-simplify]: Simplify 0 into 0 7.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 7.534 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 7.538 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.539 * [backup-simplify]: Simplify (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a))) into (* -1 (/ a (acos a))) 7.539 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 7.539 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.539 * [taylor]: Taking taylor expansion of -1 in a 7.539 * [backup-simplify]: Simplify -1 into -1 7.539 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.539 * [taylor]: Taking taylor expansion of a in a 7.539 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [taylor]: Taking taylor expansion of (acos a) in a 7.540 * [backup-simplify]: Simplify (acos a) into (acos a) 7.540 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.540 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.540 * [taylor]: Taking taylor expansion of -1 in a 7.540 * [backup-simplify]: Simplify -1 into -1 7.540 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.540 * [taylor]: Taking taylor expansion of a in a 7.540 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [taylor]: Taking taylor expansion of (acos a) in a 7.540 * [backup-simplify]: Simplify (acos a) into (acos a) 7.540 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.540 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 7.540 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 7.541 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 7.541 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 7.541 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.543 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.544 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [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 7.547 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 7.547 * [backup-simplify]: Simplify 0 into 0 7.548 * [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 7.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 7.550 * [backup-simplify]: Simplify 0 into 0 7.551 * [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 7.553 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 7.553 * [backup-simplify]: Simplify 0 into 0 7.553 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 7.554 * [backup-simplify]: Simplify (/ (/ (sqrt 1) -1) (* (/ 1 (/ 1 a)) (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 7.554 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 7.554 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.554 * [taylor]: Taking taylor expansion of -1 in a 7.554 * [backup-simplify]: Simplify -1 into -1 7.554 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.554 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.554 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.554 * [taylor]: Taking taylor expansion of a in a 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.554 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.554 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.554 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 7.554 * [taylor]: Taking taylor expansion of -1 in a 7.554 * [backup-simplify]: Simplify -1 into -1 7.554 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 7.554 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.554 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.554 * [taylor]: Taking taylor expansion of a in a 7.554 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify 1 into 1 7.554 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 7.555 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 7.555 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.555 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.555 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 7.556 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.556 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.557 * [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 7.557 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 7.559 * [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 7.559 * [backup-simplify]: Simplify 0 into 0 7.559 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 7.560 * [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 7.560 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.561 * [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 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 7.562 * [backup-simplify]: Simplify (/ (/ (sqrt 1) -1) (* (/ 1 (/ 1 (- a))) (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 7.562 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 7.562 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.562 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.562 * [taylor]: Taking taylor expansion of a in a 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 1 into 1 7.562 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.562 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.562 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.562 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.562 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.562 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.562 * [taylor]: Taking taylor expansion of a in a 7.562 * [backup-simplify]: Simplify 0 into 0 7.562 * [backup-simplify]: Simplify 1 into 1 7.562 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.562 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.562 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.563 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.563 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 7.564 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.565 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.568 * [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 7.568 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.570 * [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 7.570 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.572 * [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 7.572 * [backup-simplify]: Simplify 0 into 0 7.572 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 7.572 * * * [progress]: simplifying candidates 7.574 * [simplify]: Simplifying: (* (/ 1 a) (acos a)) (+ (- (log a)) (log (acos a))) (+ (- 0 (log a)) (log (acos a))) (+ (- (log 1) (log a)) (log (acos a))) (+ (log (/ 1 a)) (log (acos a))) (log (* (/ 1 a) (acos a))) (exp (* (/ 1 a) (acos a))) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (acos a) (acos a)) (acos a))) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (* (/ 1 a) (acos a))) (cbrt (* (/ 1 a) (acos a)))) (cbrt (* (/ 1 a) (acos a))) (* (* (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a))) (sqrt (* (/ 1 a) (acos a))) (sqrt (* (/ 1 a) (acos a))) (* (sqrt (/ 1 a)) (sqrt (acos a))) (* (sqrt (/ 1 a)) (sqrt (acos a))) (* (/ (sqrt 1) (sqrt a)) (sqrt (acos a))) (* (/ (sqrt 1) (sqrt a)) (sqrt (acos a))) (* (/ 1 (sqrt a)) (sqrt (acos a))) (* (/ 1 (sqrt a)) (sqrt (acos a))) (* (/ 1 a) (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) 1) (* (cbrt (/ 1 a)) (acos a)) (* (sqrt (/ 1 a)) (acos a)) (* (/ (cbrt 1) (cbrt a)) (acos a)) (* (/ (cbrt 1) (sqrt a)) (acos a)) (* (/ (cbrt 1) a) (acos a)) (* (/ (sqrt 1) (cbrt a)) (acos a)) (* (/ (sqrt 1) (sqrt a)) (acos a)) (* (/ (sqrt 1) a) (acos a)) (* (/ 1 (cbrt a)) (acos a)) (* (/ 1 (sqrt a)) (acos a)) (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a)) (* 1 (acos a)) (- (- (log (sqrt 1)) (log -1)) (+ (- (log a)) (log (acos a)))) (- (- (log (sqrt 1)) (log -1)) (+ (- 0 (log a)) (log (acos a)))) (- (- (log (sqrt 1)) (log -1)) (+ (- (log 1) (log a)) (log (acos a)))) (- (- (log (sqrt 1)) (log -1)) (+ (log (/ 1 a)) (log (acos a)))) (- (- (log (sqrt 1)) (log -1)) (log (* (/ 1 a) (acos a)))) (- (log (/ (sqrt 1) -1)) (+ (- (log a)) (log (acos a)))) (- (log (/ (sqrt 1) -1)) (+ (- 0 (log a)) (log (acos a)))) (- (log (/ (sqrt 1) -1)) (+ (- (log 1) (log a)) (log (acos a)))) (- (log (/ (sqrt 1) -1)) (+ (log (/ 1 a)) (log (acos a)))) (- (log (/ (sqrt 1) -1)) (log (* (/ 1 a) (acos a)))) (log (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (exp (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (/ (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* -1 -1) -1)) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (acos a) (acos a)) (acos a)))) (/ (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* -1 -1) -1)) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (acos a) (acos a)) (acos a)))) (/ (/ (* (* (sqrt 1) (sqrt 1)) (sqrt 1)) (* (* -1 -1) -1)) (* (* (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)))) (/ (* (* (/ (sqrt 1) -1) (/ (sqrt 1) -1)) (/ (sqrt 1) -1)) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (acos a) (acos a)) (acos a)))) (/ (* (* (/ (sqrt 1) -1) (/ (sqrt 1) -1)) (/ (sqrt 1) -1)) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (acos a) (acos a)) (acos a)))) (/ (* (* (/ (sqrt 1) -1) (/ (sqrt 1) -1)) (/ (sqrt 1) -1)) (* (* (* (/ 1 a) (acos a)) (* (/ 1 a) (acos a))) (* (/ 1 a) (acos a)))) (* (cbrt (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (cbrt (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a))))) (cbrt (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (* (* (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a))) (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (sqrt (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (sqrt (/ (/ (sqrt 1) -1) (* (/ 1 a) (acos a)))) (- (/ (sqrt 1) -1)) (- (* (/ 1 a) (acos a))) (/ (* (cbrt (/ (sqrt 1) -1)) (cbrt (/ (sqrt 1) -1))) (/ 1 a)) (/ (cbrt (/ (sqrt 1) -1)) (acos a)) (/ (sqrt (/ (sqrt 1) -1)) (/ 1 a)) (/ (sqrt (/ (sqrt 1) -1)) (acos a)) (/ (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (cbrt (sqrt 1)) (cbrt -1)) (acos a)) (/ (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) (sqrt -1)) (/ 1 a)) (/ (/ (cbrt (sqrt 1)) (sqrt -1)) (acos a)) (/ (/ (* (cbrt (sqrt 1)) (cbrt (sqrt 1))) 1) (/ 1 a)) (/ (/ (cbrt (sqrt 1)) -1) (acos a)) (/ (/ (sqrt (* (cbrt 1) (cbrt 1))) (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (sqrt (cbrt 1)) (cbrt -1)) (acos a)) (/ (/ (sqrt (* (cbrt 1) (cbrt 1))) (sqrt -1)) (/ 1 a)) (/ (/ (sqrt (cbrt 1)) (sqrt -1)) (acos a)) (/ (/ (sqrt (* (cbrt 1) (cbrt 1))) 1) (/ 1 a)) (/ (/ (sqrt (cbrt 1)) -1) (acos a)) (/ (/ (sqrt (sqrt 1)) (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) (cbrt -1)) (acos a)) (/ (/ (sqrt (sqrt 1)) (sqrt -1)) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) (sqrt -1)) (acos a)) (/ (/ (sqrt (sqrt 1)) 1) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) -1) (acos a)) (/ (/ (sqrt 1) (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (sqrt 1) (cbrt -1)) (acos a)) (/ (/ (sqrt 1) (sqrt -1)) (/ 1 a)) (/ (/ (sqrt 1) (sqrt -1)) (acos a)) (/ (/ (sqrt 1) 1) (/ 1 a)) (/ (/ (sqrt 1) -1) (acos a)) (/ (/ (sqrt (sqrt 1)) (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) (cbrt -1)) (acos a)) (/ (/ (sqrt (sqrt 1)) (sqrt -1)) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) (sqrt -1)) (acos a)) (/ (/ (sqrt (sqrt 1)) 1) (/ 1 a)) (/ (/ (sqrt (sqrt 1)) -1) (acos a)) (/ (/ 1 (* (cbrt -1) (cbrt -1))) (/ 1 a)) (/ (/ (sqrt 1) (cbrt -1)) (acos a)) (/ (/ 1 (sqrt -1)) (/ 1 a)) (/ (/ (sqrt 1) (sqrt -1)) (acos a)) (/ (/ 1 1) (/ 1 a)) (/ (/ (sqrt 1) -1) (acos a)) (/ 1 (/ 1 a)) (/ (/ (sqrt 1) -1) (acos a)) (/ (sqrt 1) (/ 1 a)) (/ (/ 1 -1) (acos a)) (/ 1 (* (/ 1 a) (acos a))) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) -1)) (/ (/ (sqrt 1) -1) (/ 1 a)) (/ (* (/ 1 a) (acos a)) (cbrt (/ (sqrt 1) -1))) (/ (* (/ 1 a) (acos a)) (sqrt (/ (sqrt 1) -1))) (/ (* (/ 1 a) (acos a)) (/ (cbrt (sqrt 1)) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (cbrt (sqrt 1)) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (cbrt (sqrt 1)) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt (cbrt 1)) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (cbrt 1)) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (cbrt 1)) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt (sqrt 1)) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) (cbrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) (sqrt -1))) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) -1)) (/ (* (/ 1 a) (acos a)) (/ (sqrt 1) -1)) (/ (* (/ 1 a) (acos a)) (/ 1 -1)) (/ (/ (sqrt 1) -1) (* 1 (acos a))) (* (* (/ 1 a) (acos a)) -1) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 7.576 * * [simplify]: Extracting # 0 : cost 0 7.577 * * [simplify]: Extracting # 1 : cost 0 7.577 * * [simplify]: Extracting # 2 : cost 0 7.577 * * [simplify]: Extracting # 3 : cost 0 7.577 * * [simplify]: Extracting # 4 : cost 0 7.578 * * [simplify]: Extracting # 5 : cost 0 7.578 * * [simplify]: Extracting # 6 : cost 0 7.578 * * [simplify]: iteration 0 : 201 enodes (cost 1561 ) 7.711 * * [simplify]: Extracting # 0 : cost 0 7.713 * * [simplify]: Extracting # 1 : cost 0 7.714 * * [simplify]: Extracting # 2 : cost 0 7.715 * * [simplify]: Extracting # 3 : cost 0 7.721 * * [simplify]: iteration 1 : 587 enodes (cost 1142 ) 8.111 * * [simplify]: Extracting # 0 : cost 0 8.123 * * [simplify]: Extracting # 1 : cost 0 8.129 * * [simplify]: Extracting # 2 : cost 0 8.133 * * [simplify]: Extracting # 3 : cost 0 8.136 * * [simplify]: Extracting # 4 : cost 0 8.139 * * [simplify]: Extracting # 5 : cost 0 8.142 * * [simplify]: iteration 2 : 3328 enodes (cost 797 ) 9.165 * * [simplify]: Extracting # 0 : cost 0 9.176 * * [simplify]: Extracting # 1 : cost 0 9.181 * * [simplify]: Extracting # 2 : cost 0 9.187 * * [simplify]: iteration done: 5000 enodes (cost 785 ) 9.187 * [simplify]: Simplified to: (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (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)) (* (sqrt (/ 1 a)) (sqrt (acos a))) (* (sqrt (/ 1 a)) (sqrt (acos a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) a) (/ (sqrt (acos a)) a) (/ 1 a) (* (cbrt (/ 1 a)) (acos a)) (* (sqrt (/ 1 a)) (acos a)) (/ (acos a) (cbrt a)) (/ (acos a) (sqrt a)) (/ (acos a) a) (/ (acos a) (cbrt a)) (/ (acos a) (sqrt a)) (/ (acos a) a) (/ (acos a) (cbrt a)) (/ (acos a) (sqrt a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) 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)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (/ -1 (pow (/ (acos a) a) 3)) (/ -1 (pow (/ (acos a) a) 3)) (/ -1 (pow (/ (acos a) a) 3)) (/ -1 (pow (/ (acos a) a) 3)) (/ -1 (pow (/ (acos a) a) 3)) (/ -1 (pow (/ (acos a) 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)) (* (* (cbrt -1) (cbrt -1)) a) (/ (cbrt -1) (acos a)) (* a (sqrt -1)) (/ (sqrt -1) (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) (* (/ (/ 1 (cbrt -1)) (cbrt -1)) a) (/ (/ 1 (cbrt -1)) (acos a)) (* (/ 1 (sqrt -1)) a) (/ (/ 1 (sqrt -1)) (acos a)) a (/ -1 (acos a)) a (/ -1 (acos a)) a (/ -1 (acos a)) (/ a (acos a)) (- (/ (acos a) a)) (- a) (/ (/ (acos a) a) (cbrt -1)) (/ (/ (acos a) a) (sqrt -1)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (* (/ (acos a) a) (cbrt -1)) (* (sqrt -1) (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ -1 (acos a)) (- (/ (acos a) a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 9.188 * * * [progress]: adding candidates to table 9.379 * [progress]: [Phase 3 of 3] Extracting. 9.379 * * [regime]: Finding splitpoints for: (# # # # # # # #) 9.380 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 9.380 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 9.409 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 9.435 * * * [regime]: Found split indices: #