55.556 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (/ a (- (acos a))) 0.044 * * [simplify]: iteration 0: 4 enodes 0.045 * * [simplify]: iteration complete: 4 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 3 inf + 0 0.045 * * [simplify]: Extracting #2: cost 3 inf + 1 0.045 * * [simplify]: Extracting #3: cost 1 inf + 223 0.046 * * [simplify]: Extracting #4: cost 0 inf + 394 0.046 * [simplify]: Simplified to: (/ a (- (acos a))) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.092 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.092 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.092 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.092 * [taylor]: Taking taylor expansion of -1 in a 0.092 * [backup-simplify]: Simplify -1 into -1 0.092 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.092 * [taylor]: Taking taylor expansion of a in a 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (acos a) in a 0.093 * [backup-simplify]: Simplify (acos a) into (acos a) 0.093 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.093 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.093 * [taylor]: Taking taylor expansion of -1 in a 0.093 * [backup-simplify]: Simplify -1 into -1 0.093 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.093 * [taylor]: Taking taylor expansion of a in a 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [taylor]: Taking taylor expansion of (acos a) in a 0.094 * [backup-simplify]: Simplify (acos a) into (acos a) 0.094 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.094 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.094 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.094 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.100 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [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 0.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [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 0.110 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [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 0.115 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.115 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.115 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.115 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.116 * [taylor]: Taking taylor expansion of -1 in a 0.116 * [backup-simplify]: Simplify -1 into -1 0.116 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.116 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.116 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.116 * [taylor]: Taking taylor expansion of a in a 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.117 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.117 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.117 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.117 * [taylor]: Taking taylor expansion of -1 in a 0.117 * [backup-simplify]: Simplify -1 into -1 0.117 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.117 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.117 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.117 * [taylor]: Taking taylor expansion of a in a 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.118 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.118 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.118 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.119 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.121 * [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 0.121 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.123 * [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 0.123 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.126 * [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 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.128 * [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 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.129 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.129 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.129 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.129 * [taylor]: Taking taylor expansion of a in a 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.129 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.129 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.131 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.131 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.131 * [taylor]: Taking taylor expansion of a in a 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.131 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.131 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.132 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.132 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.142 * [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 0.142 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.147 * [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 0.147 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.151 * [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 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.152 * * * [progress]: simplifying candidates 0.154 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (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))) 0.156 * * [simplify]: iteration 0: 96 enodes 0.230 * * [simplify]: iteration 1: 173 enodes 0.332 * * [simplify]: iteration 2: 430 enodes 1.302 * * [simplify]: iteration 3: 1239 enodes 2.707 * * [simplify]: iteration complete: 5001 enodes 2.707 * * [simplify]: Extracting #0: cost 65 inf + 0 2.711 * * [simplify]: Extracting #1: cost 870 inf + 218 2.727 * * [simplify]: Extracting #2: cost 1681 inf + 33271 2.787 * * [simplify]: Extracting #3: cost 693 inf + 269225 2.893 * * [simplify]: Extracting #4: cost 27 inf + 412016 3.000 * * [simplify]: Extracting #5: cost 0 inf + 417479 3.109 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ 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 (- (acos a)))) (/ (cbrt 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) (/ -1 (cbrt a))) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (- (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (cbrt a) (/ -1 (cbrt a))) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt 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)) 3.113 * * * [progress]: adding candidates to table 3.494 * * [progress]: iteration 2 / 4 3.494 * * * [progress]: picking best candidate 3.559 * * * * [pick]: Picked # 3.559 * * * [progress]: localizing error 3.581 * * * [progress]: generating rewritten candidates 3.581 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.625 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 3.669 * * * [progress]: generating series expansions 3.669 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.670 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 3.670 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.670 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.670 * [taylor]: Taking taylor expansion of -1 in a 3.670 * [backup-simplify]: Simplify -1 into -1 3.670 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.670 * [taylor]: Taking taylor expansion of a in a 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (acos a) in a 3.670 * [backup-simplify]: Simplify (acos a) into (acos a) 3.670 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.670 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.670 * [taylor]: Taking taylor expansion of -1 in a 3.670 * [backup-simplify]: Simplify -1 into -1 3.670 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.670 * [taylor]: Taking taylor expansion of a in a 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [taylor]: Taking taylor expansion of (acos a) in a 3.671 * [backup-simplify]: Simplify (acos a) into (acos a) 3.671 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.671 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 3.671 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 3.671 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 3.673 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 3.677 * [backup-simplify]: Simplify 0 into 0 3.678 * [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 3.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [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 3.684 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.685 * [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 3.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 3.689 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 3.689 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 3.689 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.689 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.689 * [taylor]: Taking taylor expansion of -1 in a 3.690 * [backup-simplify]: Simplify -1 into -1 3.690 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.690 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.690 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.690 * [taylor]: Taking taylor expansion of a in a 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.691 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.691 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.691 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 3.692 * [taylor]: Taking taylor expansion of -1 in a 3.692 * [backup-simplify]: Simplify -1 into -1 3.692 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.692 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.692 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.692 * [taylor]: Taking taylor expansion of a in a 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.693 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.693 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.693 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.694 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 3.695 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.697 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.699 * [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 3.699 * [backup-simplify]: Simplify 0 into 0 3.701 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.702 * [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 3.702 * [backup-simplify]: Simplify 0 into 0 3.704 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.705 * [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 3.705 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.709 * [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 3.709 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 3.710 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 3.710 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.710 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.710 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.710 * [taylor]: Taking taylor expansion of a in a 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.710 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.710 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.711 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.711 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.711 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.711 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.711 * [taylor]: Taking taylor expansion of a in a 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.711 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.712 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.712 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.713 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.713 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.718 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.724 * [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 3.724 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.728 * [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 3.728 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.733 * [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 3.733 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 3.734 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 3.734 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 3.734 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 3.734 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.734 * [taylor]: Taking taylor expansion of -1 in a 3.735 * [backup-simplify]: Simplify -1 into -1 3.735 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.735 * [taylor]: Taking taylor expansion of (acos a) in a 3.735 * [backup-simplify]: Simplify (acos a) into (acos a) 3.735 * [taylor]: Taking taylor expansion of a in a 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.735 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.735 * [taylor]: Taking taylor expansion of -1 in a 3.735 * [backup-simplify]: Simplify -1 into -1 3.735 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.735 * [taylor]: Taking taylor expansion of (acos a) in a 3.735 * [backup-simplify]: Simplify (acos a) into (acos a) 3.735 * [taylor]: Taking taylor expansion of a in a 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.736 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.736 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 3.746 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 3.758 * [backup-simplify]: Simplify 0 into 0 3.762 * [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 3.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 3.765 * [backup-simplify]: Simplify 0 into 0 3.765 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.765 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 3.765 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 3.765 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 3.765 * [taylor]: Taking taylor expansion of -1 in a 3.765 * [backup-simplify]: Simplify -1 into -1 3.765 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.765 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.765 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.766 * [taylor]: Taking taylor expansion of a in a 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 3.766 * [taylor]: Taking taylor expansion of -1 in a 3.766 * [backup-simplify]: Simplify -1 into -1 3.766 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 3.766 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.766 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.766 * [taylor]: Taking taylor expansion of a in a 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 3.767 * [backup-simplify]: Simplify (* -1 0) into 0 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 3.769 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 3.769 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 3.771 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 3.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 3.775 * [backup-simplify]: Simplify 0 into 0 3.776 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 3.788 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.793 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.798 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 3.798 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.804 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.805 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.806 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 3.806 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 3.806 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.806 * [taylor]: Taking taylor expansion of a in a 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.806 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.806 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.806 * [taylor]: Taking taylor expansion of a in a 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.806 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.807 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.808 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.824 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 3.832 * * * [progress]: simplifying candidates 3.840 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) 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(sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- 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1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 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)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 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)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 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)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (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 (* (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)) 3.851 * * [simplify]: iteration 0: 292 enodes 4.234 * * [simplify]: iteration 1: 776 enodes 4.798 * * [simplify]: iteration 2: 1492 enodes 6.569 * * [simplify]: iteration 3: 3618 enodes 8.586 * * [simplify]: iteration complete: 5003 enodes 8.593 * * [simplify]: Extracting #0: cost 116 inf + 0 8.597 * * [simplify]: Extracting #1: cost 657 inf + 309 8.613 * * [simplify]: Extracting #2: cost 1102 inf + 36076 8.671 * * [simplify]: Extracting #3: cost 343 inf + 206431 8.749 * * [simplify]: Extracting #4: cost 29 inf + 288571 8.840 * * [simplify]: Extracting #5: cost 0 inf + 296624 8.933 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (acos a)) (/ a (acos a))) (/ a (- (acos a)))) (* (* (/ a (acos a)) (/ a (acos a))) (/ 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)))) -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))) (* (/ (/ (cbrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (cbrt (- (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos 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(* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (/ (cbrt (acos a)) (sqrt a)))) (/ (sqrt a) (- (cbrt (acos a)))) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (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))) (* (/ (/ (cbrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (cbrt (- (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (/ (cbrt (acos a)) (sqrt a)))) (/ (sqrt a) (- (cbrt (acos a)))) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* 1 (sqrt a)) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (/ (cbrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (cbrt a)) (* (sqrt a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a))))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (* (sqrt a) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (/ (cbrt (acos a)) (sqrt a)))) (* (/ 1 (cbrt (acos a))) (/ 1 (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (* 1 (sqrt a)) (sqrt (acos 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))) (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (- (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a))) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (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 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) (/ 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) 8.962 * * * [progress]: adding candidates to table 10.015 * * [progress]: iteration 3 / 4 10.015 * * * [progress]: picking best candidate 10.105 * * * * [pick]: Picked # 10.105 * * * [progress]: localizing error 10.131 * * * [progress]: generating rewritten candidates 10.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.203 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.338 * * * [progress]: generating series expansions 10.338 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.338 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 10.338 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 10.338 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.338 * [taylor]: Taking taylor expansion of -1 in a 10.338 * [backup-simplify]: Simplify -1 into -1 10.338 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.339 * [taylor]: Taking taylor expansion of a in a 10.339 * [backup-simplify]: Simplify 0 into 0 10.339 * [backup-simplify]: Simplify 1 into 1 10.339 * [taylor]: Taking taylor expansion of (acos a) in a 10.339 * [backup-simplify]: Simplify (acos a) into (acos a) 10.339 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.339 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.339 * [taylor]: Taking taylor expansion of -1 in a 10.339 * [backup-simplify]: Simplify -1 into -1 10.339 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.339 * [taylor]: Taking taylor expansion of a in a 10.339 * [backup-simplify]: Simplify 0 into 0 10.339 * [backup-simplify]: Simplify 1 into 1 10.339 * [taylor]: Taking taylor expansion of (acos a) in a 10.339 * [backup-simplify]: Simplify (acos a) into (acos a) 10.339 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.340 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 10.340 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.340 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 10.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 10.346 * [backup-simplify]: Simplify 0 into 0 10.346 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 10.348 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 10.352 * [backup-simplify]: Simplify 0 into 0 10.353 * [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 10.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 10.356 * [backup-simplify]: Simplify 0 into 0 10.356 * [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 10.359 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 10.359 * [backup-simplify]: Simplify 0 into 0 10.360 * [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 10.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 10.364 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 10.364 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 10.364 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.364 * [taylor]: Taking taylor expansion of -1 in a 10.364 * [backup-simplify]: Simplify -1 into -1 10.364 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.365 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.365 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.365 * [taylor]: Taking taylor expansion of a in a 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify 1 into 1 10.365 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.366 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.366 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.366 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.366 * [taylor]: Taking taylor expansion of -1 in a 10.366 * [backup-simplify]: Simplify -1 into -1 10.366 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.366 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.366 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.366 * [taylor]: Taking taylor expansion of a in a 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.367 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.367 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.368 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.369 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 10.369 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.369 * [backup-simplify]: Simplify 0 into 0 10.371 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.371 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.371 * [backup-simplify]: Simplify 0 into 0 10.373 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.374 * [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 10.374 * [backup-simplify]: Simplify 0 into 0 10.376 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.376 * [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 10.377 * [backup-simplify]: Simplify 0 into 0 10.379 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.379 * [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 10.380 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.403 * [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 10.403 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 10.404 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 10.404 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 10.404 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.404 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.404 * [taylor]: Taking taylor expansion of a in a 10.404 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify 1 into 1 10.404 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.404 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.404 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.405 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.405 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.405 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.405 * [taylor]: Taking taylor expansion of a in a 10.405 * [backup-simplify]: Simplify 0 into 0 10.405 * [backup-simplify]: Simplify 1 into 1 10.405 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.405 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.405 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.406 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.406 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.406 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.407 * [backup-simplify]: Simplify 0 into 0 10.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.410 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.419 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.427 * [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 10.427 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.436 * [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 10.436 * [backup-simplify]: Simplify 0 into 0 10.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.445 * [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 10.445 * [backup-simplify]: Simplify 0 into 0 10.445 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 10.445 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.445 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 10.445 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 10.446 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.446 * [taylor]: Taking taylor expansion of -1 in a 10.446 * [backup-simplify]: Simplify -1 into -1 10.446 * [taylor]: Taking taylor expansion of (acos a) in a 10.446 * [backup-simplify]: Simplify (acos a) into (acos a) 10.446 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.446 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.446 * [taylor]: Taking taylor expansion of -1 in a 10.446 * [backup-simplify]: Simplify -1 into -1 10.446 * [taylor]: Taking taylor expansion of (acos a) in a 10.446 * [backup-simplify]: Simplify (acos a) into (acos a) 10.446 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.447 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.447 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.447 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [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 10.448 * [backup-simplify]: Simplify 0 into 0 10.449 * [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 10.449 * [backup-simplify]: Simplify 0 into 0 10.450 * [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 10.450 * [backup-simplify]: Simplify 0 into 0 10.450 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.450 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 10.450 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 10.450 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.450 * [taylor]: Taking taylor expansion of -1 in a 10.450 * [backup-simplify]: Simplify -1 into -1 10.450 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.450 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.451 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.451 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.451 * [taylor]: Taking taylor expansion of -1 in a 10.451 * [backup-simplify]: Simplify -1 into -1 10.451 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.451 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.451 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.451 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.452 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.452 * [backup-simplify]: Simplify 0 into 0 10.452 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.452 * [backup-simplify]: Simplify 0 into 0 10.453 * [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 10.453 * [backup-simplify]: Simplify 0 into 0 10.453 * [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 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [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 10.454 * [backup-simplify]: Simplify 0 into 0 10.455 * [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 10.456 * [backup-simplify]: Simplify 0 into 0 10.456 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 10.456 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 10.456 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 10.456 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.456 * [taylor]: Taking taylor expansion of -1 in a 10.456 * [backup-simplify]: Simplify -1 into -1 10.456 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.456 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.456 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.457 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.457 * [taylor]: Taking taylor expansion of -1 in a 10.457 * [backup-simplify]: Simplify -1 into -1 10.457 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.457 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.457 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.457 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.458 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.458 * [backup-simplify]: Simplify 0 into 0 10.458 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.458 * [backup-simplify]: Simplify 0 into 0 10.459 * [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 10.459 * [backup-simplify]: Simplify 0 into 0 10.460 * [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 10.460 * [backup-simplify]: Simplify 0 into 0 10.461 * [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 10.461 * [backup-simplify]: Simplify 0 into 0 10.461 * [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 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 10.462 * * * [progress]: simplifying candidates 10.485 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (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 (- (acos a)))) (/ (sqrt 1) a)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 1)) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) 1) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) 1) (/ (sqrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (cbrt (/ 1 a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (sqrt (/ 1 a))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (sqrt (/ 1 a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (cbrt (- (acos a)))) (/ (cbrt 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[simplify]: iteration 1: 2690 enodes 15.097 * * [simplify]: iteration complete: 5000 enodes 15.098 * * [simplify]: Extracting #0: cost 137 inf + 0 15.104 * * [simplify]: Extracting #1: cost 907 inf + 94 15.121 * * [simplify]: Extracting #2: cost 922 inf + 55519 15.237 * * [simplify]: Extracting #3: cost 148 inf + 245188 15.338 * * [simplify]: Extracting #4: cost 9 inf + 288139 15.420 * * [simplify]: Extracting #5: cost 0 inf + 291687 15.516 * [simplify]: Simplified to: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (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))) (- (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))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) 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(cbrt (acos a)))) (- (* (/ 1 a) (sqrt (acos a)))) (/ (- (acos a)) a) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (/ (- (acos a)) 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)))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (- (* (acos a) (* (acos a) (acos a))))) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (* (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (/ 1 (- (acos a))))) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (* (/ 1 (cbrt (- (acos a)))) (/ 1 (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))) (/ 1 (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (* (/ 1 (cbrt (- (acos a)))) (/ 1 (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))) (/ 1 (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (* (/ 1 (cbrt (- (acos a)))) (/ 1 (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))) (/ 1 (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)))) (/ 1 (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))) (/ 1 (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)) 15.615 * * * [progress]: adding candidates to table 17.492 * * [progress]: iteration 4 / 4 17.492 * * * [progress]: picking best candidate 17.531 * * * * [pick]: Picked # 17.532 * * * [progress]: localizing error 17.572 * * * [progress]: generating rewritten candidates 17.572 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 17.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 17.675 * * * [progress]: generating series expansions 17.675 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 17.676 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 17.676 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 17.676 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 17.676 * [taylor]: Taking taylor expansion of -1 in a 17.676 * [backup-simplify]: Simplify -1 into -1 17.676 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 17.676 * [taylor]: Taking taylor expansion of (acos a) in a 17.676 * [backup-simplify]: Simplify (acos a) into (acos a) 17.676 * [taylor]: Taking taylor expansion of a in a 17.676 * [backup-simplify]: Simplify 0 into 0 17.676 * [backup-simplify]: Simplify 1 into 1 17.676 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 17.676 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 17.677 * [taylor]: Taking taylor expansion of -1 in a 17.677 * [backup-simplify]: Simplify -1 into -1 17.677 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 17.677 * [taylor]: Taking taylor expansion of (acos a) in a 17.677 * [backup-simplify]: Simplify (acos a) into (acos a) 17.677 * [taylor]: Taking taylor expansion of a in a 17.677 * [backup-simplify]: Simplify 0 into 0 17.677 * [backup-simplify]: Simplify 1 into 1 17.677 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 17.677 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 17.677 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 17.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 17.681 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 17.681 * [backup-simplify]: Simplify 0 into 0 17.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 17.685 * [backup-simplify]: Simplify 0 into 0 17.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 17.689 * [backup-simplify]: Simplify 0 into 0 17.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.695 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 17.695 * [backup-simplify]: Simplify 0 into 0 17.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 17.701 * [backup-simplify]: Simplify 0 into 0 17.705 * [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 17.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 17.708 * [backup-simplify]: Simplify 0 into 0 17.708 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 17.709 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 17.709 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 17.709 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 17.709 * [taylor]: Taking taylor expansion of -1 in a 17.709 * [backup-simplify]: Simplify -1 into -1 17.709 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 17.709 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 17.709 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 17.709 * [taylor]: Taking taylor expansion of a in a 17.709 * [backup-simplify]: Simplify 0 into 0 17.709 * [backup-simplify]: Simplify 1 into 1 17.709 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 17.709 * [taylor]: Taking taylor expansion of -1 in a 17.709 * [backup-simplify]: Simplify -1 into -1 17.709 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 17.709 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 17.710 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 17.710 * [taylor]: Taking taylor expansion of a in a 17.710 * [backup-simplify]: Simplify 0 into 0 17.710 * [backup-simplify]: Simplify 1 into 1 17.710 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 17.711 * [backup-simplify]: Simplify (* -1 0) into 0 17.711 * [backup-simplify]: Simplify 0 into 0 17.712 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 17.712 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 17.713 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 17.714 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 17.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 17.715 * [backup-simplify]: Simplify 0 into 0 17.716 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 17.718 * [backup-simplify]: Simplify 0 into 0 17.720 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 17.730 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 17.730 * [backup-simplify]: Simplify 0 into 0 17.732 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 17.736 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 17.736 * [backup-simplify]: Simplify 0 into 0 17.737 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 17.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 17.741 * [backup-simplify]: Simplify 0 into 0 17.743 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 17.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 17.747 * [backup-simplify]: Simplify 0 into 0 17.747 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 17.747 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 17.747 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 17.747 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 17.747 * [taylor]: Taking taylor expansion of a in a 17.747 * [backup-simplify]: Simplify 0 into 0 17.747 * [backup-simplify]: Simplify 1 into 1 17.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 17.748 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 17.748 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 17.748 * [taylor]: Taking taylor expansion of a in a 17.748 * [backup-simplify]: Simplify 0 into 0 17.748 * [backup-simplify]: Simplify 1 into 1 17.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 17.748 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 17.748 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 17.748 * [backup-simplify]: Simplify 0 into 0 17.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 17.749 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 17.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 17.751 * [backup-simplify]: Simplify 0 into 0 17.754 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 17.754 * [backup-simplify]: Simplify 0 into 0 17.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 17.756 * [backup-simplify]: Simplify 0 into 0 17.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 17.759 * [backup-simplify]: Simplify 0 into 0 17.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 17.762 * [backup-simplify]: Simplify 0 into 0 17.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 17.765 * [backup-simplify]: Simplify 0 into 0 17.766 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 17.766 * * * * [progress]: [ 2 / 2 ] generating series at (2) 17.766 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 17.766 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 17.766 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 17.766 * [taylor]: Taking taylor expansion of -1 in a 17.766 * [backup-simplify]: Simplify -1 into -1 17.766 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 17.766 * [taylor]: Taking taylor expansion of a in a 17.766 * [backup-simplify]: Simplify 0 into 0 17.766 * [backup-simplify]: Simplify 1 into 1 17.767 * [taylor]: Taking taylor expansion of (acos a) in a 17.767 * [backup-simplify]: Simplify (acos a) into (acos a) 17.767 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 17.767 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 17.767 * [taylor]: Taking taylor expansion of -1 in a 17.767 * [backup-simplify]: Simplify -1 into -1 17.767 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 17.767 * [taylor]: Taking taylor expansion of a in a 17.767 * [backup-simplify]: Simplify 0 into 0 17.767 * [backup-simplify]: Simplify 1 into 1 17.767 * [taylor]: Taking taylor expansion of (acos a) in a 17.767 * [backup-simplify]: Simplify (acos a) into (acos a) 17.767 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 17.767 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 17.768 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 17.768 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 17.769 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 17.769 * [backup-simplify]: Simplify 0 into 0 17.770 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 17.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 17.771 * [backup-simplify]: Simplify 0 into 0 17.772 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 17.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 17.774 * [backup-simplify]: Simplify 0 into 0 17.774 * [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 17.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 17.777 * [backup-simplify]: Simplify 0 into 0 17.778 * [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 17.781 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 17.781 * [backup-simplify]: Simplify 0 into 0 17.782 * [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 17.786 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 17.786 * [backup-simplify]: Simplify 0 into 0 17.787 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 17.787 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 17.787 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 17.787 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 17.787 * [taylor]: Taking taylor expansion of -1 in a 17.787 * [backup-simplify]: Simplify -1 into -1 17.787 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 17.787 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 17.787 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 17.787 * [taylor]: Taking taylor expansion of a in a 17.787 * [backup-simplify]: Simplify 0 into 0 17.788 * [backup-simplify]: Simplify 1 into 1 17.788 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 17.789 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 17.789 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 17.789 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 17.789 * [taylor]: Taking taylor expansion of -1 in a 17.789 * [backup-simplify]: Simplify -1 into -1 17.789 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 17.789 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 17.789 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 17.789 * [taylor]: Taking taylor expansion of a in a 17.789 * [backup-simplify]: Simplify 0 into 0 17.789 * [backup-simplify]: Simplify 1 into 1 17.789 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 17.790 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 17.790 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 17.791 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 17.792 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 17.792 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 17.792 * [backup-simplify]: Simplify 0 into 0 17.794 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.794 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 17.794 * [backup-simplify]: Simplify 0 into 0 17.796 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 17.797 * [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 17.797 * [backup-simplify]: Simplify 0 into 0 17.799 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 17.800 * [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 17.800 * [backup-simplify]: Simplify 0 into 0 17.802 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 17.803 * [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 17.804 * [backup-simplify]: Simplify 0 into 0 17.806 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 17.808 * [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 17.808 * [backup-simplify]: Simplify 0 into 0 17.808 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 17.808 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 17.808 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 17.808 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 17.809 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 17.809 * [taylor]: Taking taylor expansion of a in a 17.809 * [backup-simplify]: Simplify 0 into 0 17.809 * [backup-simplify]: Simplify 1 into 1 17.809 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 17.809 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 17.809 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 17.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 17.810 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 17.810 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 17.810 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 17.810 * [taylor]: Taking taylor expansion of a in a 17.810 * [backup-simplify]: Simplify 0 into 0 17.810 * [backup-simplify]: Simplify 1 into 1 17.810 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 17.810 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 17.811 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 17.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 17.811 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 17.812 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 17.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 17.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 17.814 * [backup-simplify]: Simplify 0 into 0 17.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 17.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 17.818 * [backup-simplify]: Simplify 0 into 0 17.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 17.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 17.821 * [backup-simplify]: Simplify 0 into 0 17.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 17.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 17.824 * [backup-simplify]: Simplify 0 into 0 17.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 17.829 * [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 17.829 * [backup-simplify]: Simplify 0 into 0 17.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 17.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 17.834 * [backup-simplify]: Simplify 0 into 0 17.834 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 17.834 * * * [progress]: simplifying candidates 17.837 * [simplify]: Simplifying: (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)) (+ (log (- (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)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (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))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (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) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (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)) (/ 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)))) (- 0 (log (* (- (acos a)) (/ 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) (log (* (- (acos a)) (/ 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 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos 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) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 17.840 * * [simplify]: iteration 0: 129 enodes 17.951 * * [simplify]: iteration 1: 356 enodes 18.222 * * [simplify]: iteration 2: 890 enodes 19.724 * * [simplify]: iteration 3: 2470 enodes 21.347 * * [simplify]: iteration complete: 5003 enodes 21.348 * * [simplify]: Extracting #0: cost 36 inf + 0 21.350 * * [simplify]: Extracting #1: cost 384 inf + 2 21.366 * * [simplify]: Extracting #2: cost 1327 inf + 14775 21.408 * * [simplify]: Extracting #3: cost 667 inf + 150651 21.500 * * [simplify]: Extracting #4: cost 136 inf + 278950 21.623 * * [simplify]: Extracting #5: cost 1 inf + 319941 21.753 * * [simplify]: Extracting #6: cost 0 inf + 320244 21.882 * [simplify]: Simplified to: (expm1 (- (/ (acos a) a))) (log1p (- (/ (acos a) a))) (- (/ (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))) (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a))) (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a))) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (* (- (acos a)) (cbrt (/ 1 a))) (cbrt (/ 1 a))) (* (sqrt (/ 1 a)) (- (acos a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos 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)) (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) -1 -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)))) (- (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)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (/ 1 (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a)))) (/ 1 (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a)))) (/ 1 (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a)))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (/ 1 (* (- (/ (acos a) a)) (* (/ (acos a) a) (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (/ (acos a) a))) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 21.889 * * * [progress]: adding candidates to table 22.424 * [progress]: [Phase 3 of 3] Extracting. 22.424 * * [regime]: Finding splitpoints for: (# # # # # # #) 22.426 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 22.426 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 22.534 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 22.626 * * * [regime]: Found split indices: #