22.224 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.062 * [simplify]: Simplifying: (/ a (- (acos a))) 0.062 * * [simplify]: iteration 0: 4 enodes 0.063 * * [simplify]: iteration complete: 4 enodes 0.063 * * [simplify]: Extracting #0: cost 1 inf + 0 0.063 * * [simplify]: Extracting #1: cost 3 inf + 0 0.063 * * [simplify]: Extracting #2: cost 3 inf + 1 0.063 * * [simplify]: Extracting #3: cost 0 inf + 394 0.063 * [simplify]: Simplified to: (/ a (- (acos a))) 0.064 * * [progress]: iteration 1 / 4 0.064 * * * [progress]: picking best candidate 0.068 * * * * [pick]: Picked # 0.068 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.097 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.097 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.097 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.097 * [taylor]: Taking taylor expansion of -1 in a 0.097 * [backup-simplify]: Simplify -1 into -1 0.097 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.097 * [taylor]: Taking taylor expansion of a in a 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (acos a) in a 0.098 * [backup-simplify]: Simplify (acos a) into (acos a) 0.098 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.098 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.098 * [taylor]: Taking taylor expansion of -1 in a 0.098 * [backup-simplify]: Simplify -1 into -1 0.098 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.098 * [taylor]: Taking taylor expansion of a in a 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (acos a) in a 0.098 * [backup-simplify]: Simplify (acos a) into (acos a) 0.098 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.098 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.098 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.098 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.099 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.101 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [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 0.106 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.106 * [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 0.109 * [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 0.110 * [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 0.114 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.114 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.114 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.114 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.114 * [taylor]: Taking taylor expansion of -1 in a 0.114 * [backup-simplify]: Simplify -1 into -1 0.114 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.114 * [taylor]: Taking taylor expansion of a in a 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.114 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.114 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.115 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.115 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.115 * [taylor]: Taking taylor expansion of -1 in a 0.115 * [backup-simplify]: Simplify -1 into -1 0.115 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.116 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.116 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.117 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.117 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.118 * [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 0.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.135 * [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 0.136 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.139 * [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 0.139 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.143 * [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 0.143 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.148 * [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 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.148 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.148 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.148 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.148 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.148 * [taylor]: Taking taylor expansion of a in a 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.148 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.149 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.150 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.150 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.150 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.150 * [taylor]: Taking taylor expansion of a in a 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.150 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.150 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.151 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.151 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.162 * [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 0.162 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.166 * [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 0.166 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.170 * [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 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.170 * * * [progress]: simplifying candidates 0.170 * * * * [progress]: [ 1 / 61 ] simplifiying candidate # 0.170 * * * * [progress]: [ 2 / 61 ] simplifiying candidate # 0.170 * * * * [progress]: [ 3 / 61 ] simplifiying candidate # 0.170 * * * * [progress]: [ 4 / 61 ] simplifiying candidate # 0.170 * * * * [progress]: [ 5 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 6 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 7 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 8 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 9 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 10 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 11 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 12 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 13 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 14 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 15 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 16 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 17 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 18 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 19 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 20 / 61 ] simplifiying candidate # 0.171 * * * * [progress]: [ 21 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 22 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 23 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 24 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 25 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 26 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 27 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 28 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 29 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 30 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 31 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 32 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 33 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 34 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 35 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 36 / 61 ] simplifiying candidate # 0.172 * * * * [progress]: [ 37 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 38 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 39 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 40 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 41 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 42 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 43 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 44 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 45 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 46 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 47 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 48 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 49 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 50 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 51 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 52 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 53 / 61 ] simplifiying candidate # 0.173 * * * * [progress]: [ 54 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 55 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 56 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 57 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 58 / 61 ] simplifiying candidate #real (real->posit16 (/ a (- (acos a))))))> 0.174 * * * * [progress]: [ 59 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 60 / 61 ] simplifiying candidate # 0.174 * * * * [progress]: [ 61 / 61 ] simplifiying candidate # 0.175 * [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) (real->posit16 (/ a (- (acos a)))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.177 * * [simplify]: iteration 0: 97 enodes 0.219 * * [simplify]: iteration 1: 174 enodes 0.270 * * [simplify]: iteration 2: 438 enodes 0.455 * * [simplify]: iteration 3: 1207 enodes 0.736 * * [simplify]: iteration 4: 2013 enodes 1.075 * * [simplify]: iteration complete: 2013 enodes 1.075 * * [simplify]: Extracting #0: cost 66 inf + 0 1.076 * * [simplify]: Extracting #1: cost 436 inf + 85 1.079 * * [simplify]: Extracting #2: cost 769 inf + 7367 1.095 * * [simplify]: Extracting #3: cost 307 inf + 107308 1.115 * * [simplify]: Extracting #4: cost 44 inf + 172433 1.138 * * [simplify]: Extracting #5: cost 0 inf + 181745 1.160 * [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) (sqrt (- (acos a)))) (cbrt 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)) (real->posit16 (/ a (- (acos a)))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 1.163 * * * [progress]: adding candidates to table 1.341 * * [progress]: iteration 2 / 4 1.341 * * * [progress]: picking best candidate 1.365 * * * * [pick]: Picked # 1.365 * * * [progress]: localizing error 1.379 * * * [progress]: generating rewritten candidates 1.379 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.394 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.412 * * * [progress]: generating series expansions 1.413 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.413 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.413 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.413 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.413 * [taylor]: Taking taylor expansion of -1 in a 1.413 * [backup-simplify]: Simplify -1 into -1 1.413 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.413 * [taylor]: Taking taylor expansion of a in a 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (acos a) in a 1.413 * [backup-simplify]: Simplify (acos a) into (acos a) 1.413 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.413 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.413 * [taylor]: Taking taylor expansion of -1 in a 1.413 * [backup-simplify]: Simplify -1 into -1 1.413 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.413 * [taylor]: Taking taylor expansion of a in a 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [taylor]: Taking taylor expansion of (acos a) in a 1.414 * [backup-simplify]: Simplify (acos a) into (acos a) 1.414 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.414 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.414 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.414 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.415 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.430 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 1.430 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.430 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.430 * [taylor]: Taking taylor expansion of -1 in a 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.430 * [taylor]: Taking taylor expansion of a in a 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.430 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.431 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.431 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.431 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.431 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.431 * [taylor]: Taking taylor expansion of -1 in a 1.431 * [backup-simplify]: Simplify -1 into -1 1.431 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.431 * [taylor]: Taking taylor expansion of a in a 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.431 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.431 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.432 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.432 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.434 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.436 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.443 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.443 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.443 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.443 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.443 * [taylor]: Taking taylor expansion of a in a 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.443 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.443 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.443 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.443 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.443 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.443 * [taylor]: Taking taylor expansion of a in a 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.444 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.444 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.444 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.444 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.446 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.454 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.454 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.454 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.454 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.454 * [taylor]: Taking taylor expansion of -1 in a 1.454 * [backup-simplify]: Simplify -1 into -1 1.454 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.455 * [taylor]: Taking taylor expansion of (acos a) in a 1.455 * [backup-simplify]: Simplify (acos a) into (acos a) 1.455 * [taylor]: Taking taylor expansion of a in a 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.455 * [taylor]: Taking taylor expansion of -1 in a 1.455 * [backup-simplify]: Simplify -1 into -1 1.455 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.455 * [taylor]: Taking taylor expansion of (acos a) in a 1.455 * [backup-simplify]: Simplify (acos a) into (acos a) 1.455 * [taylor]: Taking taylor expansion of a in a 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.455 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.455 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.456 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.459 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.477 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 1.477 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 1.478 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.478 * [taylor]: Taking taylor expansion of -1 in a 1.478 * [backup-simplify]: Simplify -1 into -1 1.478 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.478 * [taylor]: Taking taylor expansion of a in a 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.478 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.478 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.478 * [taylor]: Taking taylor expansion of -1 in a 1.478 * [backup-simplify]: Simplify -1 into -1 1.478 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.478 * [taylor]: Taking taylor expansion of a in a 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 1 into 1 1.478 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.478 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.478 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.479 * [backup-simplify]: Simplify (* -1 0) into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.480 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.480 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.482 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.493 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.500 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.501 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.501 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.501 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.501 * [taylor]: Taking taylor expansion of a in a 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.501 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.501 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.501 * [taylor]: Taking taylor expansion of a in a 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.501 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.501 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.502 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.503 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.505 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.515 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.516 * * * [progress]: simplifying candidates 1.516 * * * * [progress]: [ 1 / 229 ] simplifiying candidate # 1.516 * * * * [progress]: [ 2 / 229 ] simplifiying candidate # 1.516 * * * * [progress]: [ 3 / 229 ] simplifiying candidate # 1.516 * * * * [progress]: [ 4 / 229 ] simplifiying candidate # 1.516 * * * * 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1.529 * * * * [progress]: [ 221 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 222 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 223 / 229 ] simplifiying candidate #real (real->posit16 (/ (- (acos a)) a)))))> 1.529 * * * * [progress]: [ 224 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 225 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 226 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 227 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 228 / 229 ] simplifiying candidate # 1.529 * * * * [progress]: [ 229 / 229 ] simplifiying candidate # 1.533 * [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) (/ (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)) (/ (* (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))) (/ (* 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1 a) (cbrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (* a (/ 1 (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (/ (cbrt (acos a)) a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (* (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (* (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a)))) (* (cbrt a) (/ 1 (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a)))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (* (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (sqrt (- (acos a))))) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (/ 1 (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (cbrt (acos a))) (cbrt a)) (* (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (sqrt a)) (/ (* 1 (sqrt a)) (cbrt (acos a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 a) (cbrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (* a (/ 1 (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (- (/ (cbrt (acos a)) a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (* 1 a) (- (acos a))) (- (/ (acos a) a)) (* (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) (* (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a)))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (sqrt a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (real->posit16 (/ (* 1 a) (- (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))) (real->posit16 (- (/ (acos a) a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 2.772 * * * [progress]: adding candidates to table 3.439 * * [progress]: iteration 3 / 4 3.439 * * * [progress]: picking best candidate 3.476 * * * * [pick]: Picked # 3.476 * * * [progress]: localizing error 3.498 * * * [progress]: generating rewritten candidates 3.498 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.515 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.541 * * * [progress]: generating series expansions 3.541 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.541 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.541 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 3.541 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.541 * [taylor]: Taking taylor expansion of -1 in a 3.541 * [backup-simplify]: Simplify -1 into -1 3.541 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.541 * [taylor]: Taking taylor expansion of (acos a) in a 3.541 * [backup-simplify]: Simplify (acos a) into (acos a) 3.541 * [taylor]: Taking taylor expansion of a in a 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.542 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.542 * [taylor]: Taking taylor expansion of -1 in a 3.542 * [backup-simplify]: Simplify -1 into -1 3.542 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.542 * [taylor]: Taking taylor expansion of (acos a) in a 3.542 * [backup-simplify]: Simplify (acos a) into (acos a) 3.542 * [taylor]: Taking taylor expansion of a in a 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.542 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.542 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 3.544 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 3.547 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 3.549 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 3.554 * [backup-simplify]: Simplify 0 into 0 3.557 * [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 3.558 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.558 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 3.558 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 3.558 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 3.558 * [taylor]: Taking taylor expansion of -1 in a 3.558 * [backup-simplify]: Simplify -1 into -1 3.558 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.558 * [taylor]: Taking taylor expansion of a in a 3.558 * [backup-simplify]: Simplify 0 into 0 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.558 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.558 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 3.558 * [taylor]: Taking taylor expansion of -1 in a 3.558 * [backup-simplify]: Simplify -1 into -1 3.558 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.558 * [taylor]: Taking taylor expansion of a in a 3.558 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify 1 into 1 3.559 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.559 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.559 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.559 * [backup-simplify]: Simplify (* -1 0) into 0 3.559 * [backup-simplify]: Simplify 0 into 0 3.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.560 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 3.560 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 3.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 3.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 3.561 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 3.563 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 3.566 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 3.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 3.570 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 3.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 3.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.580 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 3.580 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 3.580 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.580 * [taylor]: Taking taylor expansion of a in a 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.580 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.580 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.580 * [taylor]: Taking taylor expansion of a in a 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.580 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.580 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.581 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.583 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 3.591 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.592 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 3.592 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.592 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.592 * [taylor]: Taking taylor expansion of -1 in a 3.592 * [backup-simplify]: Simplify -1 into -1 3.592 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.592 * [taylor]: Taking taylor expansion of a in a 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (acos a) in a 3.592 * [backup-simplify]: Simplify (acos a) into (acos a) 3.592 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.592 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.592 * [taylor]: Taking taylor expansion of -1 in a 3.592 * [backup-simplify]: Simplify -1 into -1 3.592 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.592 * [taylor]: Taking taylor expansion of a in a 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify 1 into 1 3.592 * [taylor]: Taking taylor expansion of (acos a) in a 3.592 * [backup-simplify]: Simplify (acos a) into (acos a) 3.592 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.593 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 3.593 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 3.593 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 3.593 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.596 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [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 3.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [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 3.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.601 * [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 3.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 3.603 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 3.603 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 3.603 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.603 * [taylor]: Taking taylor expansion of -1 in a 3.603 * [backup-simplify]: Simplify -1 into -1 3.603 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.603 * [taylor]: Taking taylor expansion of a in a 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.603 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.603 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.603 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.604 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.604 * [taylor]: Taking taylor expansion of -1 in a 3.604 * [backup-simplify]: Simplify -1 into -1 3.604 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.604 * [taylor]: Taking taylor expansion of a in a 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.604 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.604 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.604 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.604 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 3.606 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 3.607 * [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 3.607 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 3.609 * [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 3.609 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 3.610 * [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 3.610 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 3.612 * [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 3.612 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 3.613 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 3.613 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.613 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.613 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.613 * [taylor]: Taking taylor expansion of a in a 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.613 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.613 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.613 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.613 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.613 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.613 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.613 * [taylor]: Taking taylor expansion of a in a 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.613 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.614 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.614 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.614 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.617 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.618 * [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 3.618 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.620 * [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 3.620 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.622 * [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 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 3.622 * * * [progress]: simplifying candidates 3.622 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 3.622 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 3.622 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 3.622 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 3.622 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 27 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 3.623 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #real (real->posit16 (* (- (acos a)) (/ 1 a))))))> 3.624 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 3.624 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 83 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 87 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 90 / 96 ] simplifiying candidate #real (real->posit16 (/ 1 (* (- (acos a)) (/ 1 a))))))> 3.625 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 3.625 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 3.626 * [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) (real->posit16 (* (- (acos a)) (/ 1 a))) (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)) (real->posit16 (/ 1 (* (- (acos a)) (/ 1 a)))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 3.627 * * [simplify]: iteration 0: 131 enodes 3.702 * * [simplify]: iteration 1: 359 enodes 3.826 * * [simplify]: iteration 2: 926 enodes 4.094 * * [simplify]: iteration 3: 2009 enodes 4.372 * * [simplify]: iteration complete: 2009 enodes 4.373 * * [simplify]: Extracting #0: cost 42 inf + 0 4.375 * * [simplify]: Extracting #1: cost 331 inf + 2 4.379 * * [simplify]: Extracting #2: cost 371 inf + 14328 4.397 * * [simplify]: Extracting #3: cost 129 inf + 70209 4.413 * * [simplify]: Extracting #4: cost 23 inf + 97813 4.430 * * [simplify]: Extracting #5: cost 8 inf + 101378 4.447 * * [simplify]: Extracting #6: cost 0 inf + 104604 4.466 * [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) (- (acos a))) (acos a)) a) (* a a)) (* (* (* (* (acos a) (- (acos a))) (acos a)) (/ 1 a)) (/ (/ 1 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 (/ 1 a)) (sqrt (- (acos a)))) (* (sqrt (/ 1 a)) (sqrt (- (acos a)))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (cbrt (/ 1 a)) (* (cbrt (/ 1 a)) (- (acos 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)) (real->posit16 (- (/ (acos a) 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)))) (* (/ (* a a) (* (acos a) (- (acos a)))) (/ a (acos a))) (/ (/ a (/ (/ 1 a) a)) (* (* (acos a) (- (acos a))) (acos 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))) (real->posit16 (/ 1 (- (/ (acos a) a)))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 4.474 * * * [progress]: adding candidates to table 4.728 * * [progress]: iteration 4 / 4 4.729 * * * [progress]: picking best candidate 4.757 * * * * [pick]: Picked # 4.757 * * * [progress]: localizing error 4.778 * * * [progress]: generating rewritten candidates 4.778 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 4.791 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.794 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.812 * * * [progress]: generating series expansions 4.812 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.812 * [backup-simplify]: Simplify (/ 1 (sqrt (acos a))) into (sqrt (/ 1 (acos a))) 4.812 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in (a) around 0 4.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 4.812 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 4.812 * [taylor]: Taking taylor expansion of (acos a) in a 4.812 * [backup-simplify]: Simplify (acos a) into (acos a) 4.812 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.813 * [backup-simplify]: Simplify (sqrt (/ 1 (acos a))) into (sqrt (/ 1 (acos a))) 4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos a))))) into 0 4.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos a))) in a 4.813 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 4.813 * [taylor]: Taking taylor expansion of (acos a) in a 4.813 * [backup-simplify]: Simplify (acos a) into (acos a) 4.813 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.813 * [backup-simplify]: Simplify (sqrt (/ 1 (acos a))) into (sqrt (/ 1 (acos a))) 4.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos a))))) into 0 4.814 * [backup-simplify]: Simplify (sqrt (/ 1 (acos a))) into (sqrt (/ 1 (acos a))) 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.815 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (acos a))))) into 0 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos a))))) into 0 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos a))))) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos a))))) into 0 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos a))))) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify (sqrt (/ 1 (acos a))) into (sqrt (/ 1 (acos a))) 4.823 * [backup-simplify]: Simplify (/ 1 (sqrt (acos (/ 1 a)))) into (sqrt (/ 1 (acos (/ 1 a)))) 4.823 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in (a) around 0 4.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 4.823 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 4.823 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.823 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.823 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 4.823 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ 1 a)))) into (sqrt (/ 1 (acos (/ 1 a)))) 4.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ 1 a)))) in a 4.824 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 4.824 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.824 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.824 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 4.824 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ 1 a)))) into (sqrt (/ 1 (acos (/ 1 a)))) 4.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.824 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ 1 a)))) into (sqrt (/ 1 (acos (/ 1 a)))) 4.824 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.826 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ 1 a)))))) into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ 1 (/ 1 a))))) into (sqrt (/ 1 (acos a))) 4.833 * [backup-simplify]: Simplify (/ 1 (sqrt (acos (/ 1 (- a))))) into (sqrt (/ 1 (acos (/ -1 a)))) 4.833 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in (a) around 0 4.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 4.833 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 4.833 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.833 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.833 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.834 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ -1 a)))) into (sqrt (/ 1 (acos (/ -1 a)))) 4.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (acos (/ -1 a)))) in a 4.834 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 4.834 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.834 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.834 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.834 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ -1 a)))) into (sqrt (/ 1 (acos (/ -1 a)))) 4.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.835 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ -1 a)))) into (sqrt (/ 1 (acos (/ -1 a)))) 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.843 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (acos (/ -1 a)))))) into 0 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify (sqrt (/ 1 (acos (/ -1 (/ 1 (- a)))))) into (sqrt (/ 1 (acos a))) 4.844 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 4.844 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.844 * [approximate]: Taking taylor expansion of (sqrt (acos a)) in (a) around 0 4.844 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.844 * [taylor]: Taking taylor expansion of (acos a) in a 4.844 * [backup-simplify]: Simplify (acos a) into (acos a) 4.844 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.844 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.844 * [taylor]: Taking taylor expansion of (acos a) in a 4.844 * [backup-simplify]: Simplify (acos a) into (acos a) 4.844 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.844 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.844 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos a)))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.847 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.848 * [backup-simplify]: Simplify 0 into 0 4.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.849 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.850 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.850 * [approximate]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in (a) around 0 4.850 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.850 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.850 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.850 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.850 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.850 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.850 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.851 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.851 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.853 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.854 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify (sqrt (acos (/ 1 (/ 1 a)))) into (sqrt (acos a)) 4.863 * [backup-simplify]: Simplify (sqrt (acos (/ 1 (- a)))) into (sqrt (acos (/ -1 a))) 4.863 * [approximate]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in (a) around 0 4.863 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.863 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.863 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.863 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.864 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.864 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.864 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.864 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.864 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.864 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.866 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.868 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify (sqrt (acos (/ -1 (/ 1 (- a))))) into (sqrt (acos a)) 4.871 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.872 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.872 * [approximate]: Taking taylor expansion of (sqrt (acos a)) in (a) around 0 4.872 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.872 * [taylor]: Taking taylor expansion of (acos a) in a 4.872 * [backup-simplify]: Simplify (acos a) into (acos a) 4.872 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.872 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.872 * [taylor]: Taking taylor expansion of (acos a) in a 4.872 * [backup-simplify]: Simplify (acos a) into (acos a) 4.872 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.872 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.872 * [backup-simplify]: Simplify 0 into 0 4.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos a)))) into 0 4.873 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.875 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.878 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.878 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.878 * [approximate]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in (a) around 0 4.878 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.878 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.878 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.878 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.878 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.878 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.878 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.878 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.878 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.878 * [backup-simplify]: Simplify 0 into 0 4.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.881 * [backup-simplify]: Simplify 0 into 0 4.882 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.882 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.883 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.884 * [backup-simplify]: Simplify 0 into 0 4.885 * [backup-simplify]: Simplify (sqrt (acos (/ 1 (/ 1 a)))) into (sqrt (acos a)) 4.885 * [backup-simplify]: Simplify (sqrt (acos (/ 1 (- a)))) into (sqrt (acos (/ -1 a))) 4.885 * [approximate]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in (a) around 0 4.885 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.885 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.885 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.885 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.885 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.885 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.885 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.885 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.886 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.886 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify (sqrt (acos (/ -1 (/ 1 (- a))))) into (sqrt (acos a)) 4.891 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.891 * [backup-simplify]: Simplify (/ (- (sqrt (acos a))) a) into (* -1 (* (sqrt (acos a)) (/ 1 a))) 4.891 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (acos a)) (/ 1 a))) in (a) around 0 4.891 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (acos a)) (/ 1 a))) in a 4.891 * [taylor]: Taking taylor expansion of -1 in a 4.891 * [backup-simplify]: Simplify -1 into -1 4.891 * [taylor]: Taking taylor expansion of (* (sqrt (acos a)) (/ 1 a)) in a 4.891 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.891 * [taylor]: Taking taylor expansion of (acos a) in a 4.891 * [backup-simplify]: Simplify (acos a) into (acos a) 4.891 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.892 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.892 * [taylor]: Taking taylor expansion of a in a 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [backup-simplify]: Simplify (/ 1 1) into 1 4.892 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (acos a)) (/ 1 a))) in a 4.892 * [taylor]: Taking taylor expansion of -1 in a 4.892 * [backup-simplify]: Simplify -1 into -1 4.892 * [taylor]: Taking taylor expansion of (* (sqrt (acos a)) (/ 1 a)) in a 4.892 * [taylor]: Taking taylor expansion of (sqrt (acos a)) in a 4.892 * [taylor]: Taking taylor expansion of (acos a) in a 4.892 * [backup-simplify]: Simplify (acos a) into (acos a) 4.892 * [backup-simplify]: Simplify (sqrt (acos a)) into (sqrt (acos a)) 4.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 4.893 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.893 * [taylor]: Taking taylor expansion of a in a 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify (/ 1 1) into 1 4.893 * [backup-simplify]: Simplify (* (sqrt (acos a)) 1) into (sqrt (acos a)) 4.893 * [backup-simplify]: Simplify (* -1 (sqrt (acos a))) into (* -1 (sqrt (acos a))) 4.893 * [backup-simplify]: Simplify (* -1 (sqrt (acos a))) into (* -1 (sqrt (acos a))) 4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (* 0 1)) into 0 4.895 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt (acos a)))) into 0 4.895 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos a)))) into 0 4.897 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (* 0 1))) into 0 4.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt (acos a))))) into 0 4.898 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.900 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))) into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.902 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))) into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.905 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.905 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))))) into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))))) into 0 4.910 * [backup-simplify]: Simplify 0 into 0 4.910 * [backup-simplify]: Simplify (* (* -1 (sqrt (acos a))) (/ 1 a)) into (* -1 (* (sqrt (acos a)) (/ 1 a))) 4.910 * [backup-simplify]: Simplify (/ (- (sqrt (acos (/ 1 a)))) (/ 1 a)) into (* -1 (* a (sqrt (acos (/ 1 a))))) 4.910 * [approximate]: Taking taylor expansion of (* -1 (* a (sqrt (acos (/ 1 a))))) in (a) around 0 4.910 * [taylor]: Taking taylor expansion of (* -1 (* a (sqrt (acos (/ 1 a))))) in a 4.910 * [taylor]: Taking taylor expansion of -1 in a 4.910 * [backup-simplify]: Simplify -1 into -1 4.910 * [taylor]: Taking taylor expansion of (* a (sqrt (acos (/ 1 a)))) in a 4.910 * [taylor]: Taking taylor expansion of a in a 4.910 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.911 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.911 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.911 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.911 * [taylor]: Taking taylor expansion of (* -1 (* a (sqrt (acos (/ 1 a))))) in a 4.911 * [taylor]: Taking taylor expansion of -1 in a 4.911 * [backup-simplify]: Simplify -1 into -1 4.911 * [taylor]: Taking taylor expansion of (* a (sqrt (acos (/ 1 a)))) in a 4.911 * [taylor]: Taking taylor expansion of a in a 4.911 * [backup-simplify]: Simplify 0 into 0 4.911 * [backup-simplify]: Simplify 1 into 1 4.911 * [taylor]: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a 4.911 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.911 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.911 * [backup-simplify]: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) 4.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 4.911 * [backup-simplify]: Simplify (* 0 (sqrt (acos (/ 1 a)))) into 0 4.911 * [backup-simplify]: Simplify (* -1 0) into 0 4.911 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (acos (/ 1 a))))) into (sqrt (acos (/ 1 a))) 4.912 * [backup-simplify]: Simplify (+ (* -1 (sqrt (acos (/ 1 a)))) (* 0 0)) into (- (sqrt (acos (/ 1 a)))) 4.912 * [backup-simplify]: Simplify (- (sqrt (acos (/ 1 a)))) into (- (sqrt (acos (/ 1 a)))) 4.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (acos (/ 1 a)))))) into 0 4.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0))) into 0 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))) into 0 4.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0)))) into 0 4.916 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))) into 0 4.919 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0))))) into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))))) into 0 4.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0)))))) into 0 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))))) into 0 4.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0))))))) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 4.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))))))) into 0 4.933 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt (acos (/ 1 a)))) (* 0 0)))))))) into 0 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify (* (- (sqrt (acos (/ 1 (/ 1 a))))) (/ 1 a)) into (* -1 (* (sqrt (acos a)) (/ 1 a))) 4.934 * [backup-simplify]: Simplify (/ (- (sqrt (acos (/ 1 (- a))))) (/ 1 (- a))) into (* a (sqrt (acos (/ -1 a)))) 4.934 * [approximate]: Taking taylor expansion of (* a (sqrt (acos (/ -1 a)))) in (a) around 0 4.934 * [taylor]: Taking taylor expansion of (* a (sqrt (acos (/ -1 a)))) in a 4.934 * [taylor]: Taking taylor expansion of a in a 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.934 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.934 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.934 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.934 * [taylor]: Taking taylor expansion of (* a (sqrt (acos (/ -1 a)))) in a 4.934 * [taylor]: Taking taylor expansion of a in a 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [taylor]: Taking taylor expansion of (sqrt (acos (/ -1 a))) in a 4.934 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.934 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.934 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 4.935 * [backup-simplify]: Simplify (* 0 (sqrt (acos (/ -1 a)))) into 0 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (acos (/ -1 a))))) into (sqrt (acos (/ -1 a))) 4.935 * [backup-simplify]: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) 4.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (acos (/ -1 a)))))) into 0 4.937 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))) into 0 4.940 * [backup-simplify]: Simplify 0 into 0 4.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))) into 0 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))))) into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))))) into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))))))) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify (* (sqrt (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (* -1 (* (sqrt (acos a)) (/ 1 a))) 4.948 * * * [progress]: simplifying candidates 4.948 * * * * [progress]: [ 1 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 2 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 3 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 4 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 5 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 6 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 7 / 176 ] simplifiying candidate # 4.948 * * * * [progress]: [ 8 / 176 ] simplifiying candidate # 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simplifiying candidate # 4.955 * * * * [progress]: [ 176 / 176 ] simplifiying candidate # 4.956 * [simplify]: Simplifying: (expm1 (/ 1 (sqrt (acos a)))) (log1p (/ 1 (sqrt (acos a)))) (- 1/2) (- 1) (- (/ 1 2)) (- (log (sqrt (acos a)))) (- 0 (log (sqrt (acos a)))) (- (log 1) (log (sqrt (acos a)))) (log (/ 1 (sqrt (acos a)))) (exp (/ 1 (sqrt (acos a)))) (/ (* (* 1 1) 1) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a)))) (* (cbrt (/ 1 (sqrt (acos a)))) (cbrt (/ 1 (sqrt (acos a))))) (cbrt (/ 1 (sqrt (acos a)))) (* (* (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a)))) (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) (- 1) (- (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (cbrt 1) (cbrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt 1) (sqrt (cbrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (acos a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (acos a)))) (/ (cbrt 1) (sqrt (sqrt (acos a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (acos a))) (/ (sqrt 1) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ (sqrt 1) (cbrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt 1) (sqrt (cbrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (acos a))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) (sqrt (sqrt (acos a)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 1) (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (/ (sqrt (acos a)) 1) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 1) (/ (sqrt (acos a)) (cbrt 1)) (/ (sqrt (acos a)) (sqrt 1)) (/ (sqrt (acos a)) 1) (real->posit16 (/ 1 (sqrt (acos a)))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a))) (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt 1) (sqrt (acos a)) (/ 1 2) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (real->posit16 (sqrt (acos a))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (* (* (sqrt (acos a)) (sqrt (acos a))) (sqrt (acos a))) (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (sqrt 1) (sqrt (acos a)) (/ 1 2) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (real->posit16 (sqrt (acos a))) (expm1 (/ (- (sqrt (acos a))) a)) (log1p (/ (- (sqrt (acos a))) a)) (- (log (- (sqrt (acos a)))) (log a)) (log (/ (- (sqrt (acos a))) a)) (exp (/ (- (sqrt (acos a))) a)) (/ (* (* (- (sqrt (acos a))) (- (sqrt (acos a)))) (- (sqrt (acos a)))) (* (* a a) a)) (* (cbrt (/ (- (sqrt (acos a))) a)) (cbrt (/ (- (sqrt (acos a))) a))) (cbrt (/ (- (sqrt (acos a))) a)) (* (* (/ (- (sqrt (acos a))) a) (/ (- (sqrt (acos a))) a)) (/ (- (sqrt (acos a))) a)) (sqrt (/ (- (sqrt (acos a))) a)) (sqrt (/ (- (sqrt (acos a))) a)) (- (- (sqrt (acos a)))) (- a) (/ 0 a) (/ (sqrt (acos a)) a) (/ (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a))))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (sqrt (acos a)))) (cbrt a)) (/ (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a))))) (sqrt a)) (/ (cbrt (- (sqrt (acos a)))) (sqrt a)) (/ (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a))))) 1) (/ (cbrt (- (sqrt (acos a)))) a) (/ (sqrt (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (sqrt (acos a)))) (cbrt a)) (/ (sqrt (- (sqrt (acos a)))) (sqrt a)) (/ (sqrt (- (sqrt (acos a)))) (sqrt a)) (/ (sqrt (- (sqrt (acos a)))) 1) (/ (sqrt (- (sqrt (acos a)))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ 1 (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ 1 1) (/ (- (sqrt (acos a))) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ -1 (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ -1 1) (/ (sqrt (acos a)) a) (/ (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (* (cbrt a) (cbrt a))) (/ (cbrt (sqrt (acos a))) (cbrt a)) (/ (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (sqrt a)) (/ (cbrt (sqrt (acos a))) (sqrt a)) (/ (- (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) 1) (/ (cbrt (sqrt (acos a))) a) (/ (- (sqrt (* (cbrt (acos a)) (cbrt (acos a))))) (* (cbrt a) (cbrt a))) (/ 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(cbrt (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (sqrt (acos a)))) (cbrt a)) (/ (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (sqrt a)) (/ (- (cbrt (sqrt (acos a)))) (sqrt a)) (/ (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) 1) (/ (- (cbrt (sqrt (acos a)))) a) (/ (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (cbrt (acos a)))) (cbrt a)) (/ (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (- (sqrt (cbrt (acos a)))) (sqrt a)) (/ (sqrt (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (- (sqrt (cbrt (acos a)))) a) (/ (sqrt (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (/ (sqrt (sqrt (acos a))) (sqrt a)) (/ (- (sqrt (sqrt (acos a)))) (sqrt a)) (/ (sqrt (sqrt (acos a))) 1) (/ (- (sqrt (sqrt (acos a)))) a) (/ (sqrt 1) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt 1) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt 1) 1) (/ (- (sqrt (acos a))) a) (/ (sqrt (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (/ (sqrt (sqrt (acos a))) (sqrt a)) (/ (- (sqrt (sqrt (acos a)))) (sqrt a)) (/ (sqrt (sqrt (acos a))) 1) (/ (- (sqrt (sqrt (acos a)))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ 1 (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ 1 1) (/ (- (sqrt (acos a))) a) (/ 1 a) (/ a (- (sqrt (acos a)))) (/ (sqrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ a (cbrt (- (sqrt (acos a))))) (/ a (sqrt (- (sqrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ a (cbrt (sqrt (acos a)))) (/ a (sqrt (cbrt (acos a)))) (/ a (sqrt (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ a (sqrt (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ a (- (cbrt (sqrt (acos a))))) (/ a (- (sqrt (cbrt (acos a))))) (/ a (- (sqrt (sqrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- (sqrt (sqrt (acos a))))) (/ a (- (sqrt (acos a)))) (real->posit16 (/ (- (sqrt (acos a))) a)) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (/ 1 (acos a))) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (* -1 (* (sqrt (acos a)) (/ 1 a))) (* -1 (* (sqrt (acos a)) (/ 1 a))) (* -1 (* (sqrt (acos a)) (/ 1 a))) 4.958 * * [simplify]: iteration 0: 189 enodes 5.019 * * [simplify]: iteration 1: 344 enodes 5.120 * * [simplify]: iteration 2: 681 enodes 5.415 * * [simplify]: iteration 3: 1587 enodes 5.807 * * [simplify]: iteration 4: 2063 enodes 6.141 * * [simplify]: iteration complete: 2063 enodes 6.142 * * [simplify]: Extracting #0: cost 110 inf + 0 6.143 * * [simplify]: Extracting #1: cost 414 inf + 5 6.148 * * [simplify]: Extracting #2: cost 552 inf + 9166 6.164 * * [simplify]: Extracting #3: cost 214 inf + 85055 6.190 * * [simplify]: Extracting #4: cost 16 inf + 146428 6.211 * * [simplify]: Extracting #5: cost 0 inf + 152390 6.234 * [simplify]: Simplified to: (expm1 (/ 1 (sqrt (acos a)))) (log1p (/ 1 (sqrt (acos a)))) -1/2 -1 -1/2 (- (log (sqrt (acos a)))) (- (log (sqrt (acos a)))) (- (log (sqrt (acos a)))) (- (log (sqrt (acos a)))) (exp (/ 1 (sqrt (acos a)))) (/ 1 (* (acos a) (sqrt (acos a)))) (* (cbrt (/ 1 (sqrt (acos a)))) (cbrt (/ 1 (sqrt (acos a))))) (cbrt (/ 1 (sqrt (acos a)))) (/ 1 (* (acos a) (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) (sqrt (/ 1 (sqrt (acos a)))) -1 (- (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (cbrt (sqrt (acos a)))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (sqrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (acos a))) (/ 1 (sqrt (acos a))) (sqrt (acos a)) (/ 1 (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a))))) (/ 1 (fabs (cbrt (acos a)))) (/ 1 (sqrt (sqrt (acos a)))) 1 (/ 1 (sqrt (sqrt (acos a)))) 1 (sqrt (acos a)) (sqrt (acos a)) (sqrt (acos a)) (real->posit16 (/ 1 (sqrt (acos a)))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log (sqrt (acos a))) (exp (sqrt (acos a))) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a))) (* (acos a) (sqrt (acos a))) (fabs (cbrt (acos a))) (sqrt (cbrt (acos a))) (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) 1 (sqrt (acos a)) 1/2 (sqrt (sqrt (acos a))) (sqrt (sqrt (acos a))) (real->posit16 (sqrt (acos a))) (expm1 (sqrt (acos a))) (log1p (sqrt (acos a))) (log 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(cbrt (- (sqrt (acos a)))) (sqrt a)) (cbrt (- (sqrt (acos a))))) (/ (cbrt (- (sqrt (acos a)))) (sqrt a)) (* (cbrt (- (sqrt (acos a)))) (cbrt (- (sqrt (acos a))))) (/ (cbrt (- (sqrt (acos a)))) a) (/ (sqrt (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (sqrt (acos a)))) (cbrt a)) (/ (sqrt (- (sqrt (acos a)))) (sqrt a)) (/ (sqrt (- (sqrt (acos a)))) (sqrt a)) (sqrt (- (sqrt (acos a)))) (/ (sqrt (- (sqrt (acos a)))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (- (/ (sqrt (acos a)) (cbrt a))) (/ 1 (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) 1 (- (/ (sqrt (acos a)) a)) (/ -1 (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ -1 (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) -1 (/ (sqrt (acos a)) a) (* (/ (cbrt (sqrt (acos a))) (cbrt a)) (- (/ (cbrt (sqrt (acos a))) (cbrt a)))) (/ (cbrt (sqrt (acos a))) (cbrt a)) (/ (- (cbrt (sqrt (acos a)))) (/ (sqrt a) (cbrt (sqrt (acos a))))) (/ (cbrt (sqrt (acos a))) (sqrt a)) (* (- (cbrt (sqrt (acos a)))) (cbrt (sqrt (acos a)))) (/ (cbrt (sqrt (acos a))) a) (- (/ (fabs (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt (cbrt (acos a))) (cbrt a)) (- (/ (fabs (cbrt (acos a))) (sqrt a))) (/ (sqrt (cbrt (acos a))) (sqrt a)) (- (fabs (cbrt (acos a)))) (/ (sqrt (cbrt (acos a))) a) (/ (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (cbrt a)) (/ (sqrt (sqrt (acos a))) (cbrt a)) (- (/ (sqrt (sqrt (acos a))) (sqrt a))) (/ (sqrt (sqrt (acos a))) (sqrt a)) (- (sqrt (sqrt (acos a)))) (/ (sqrt (sqrt (acos a))) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ -1 (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) -1 (/ (sqrt (acos a)) a) (/ (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (cbrt a)) (/ (sqrt (sqrt (acos a))) (cbrt a)) (- (/ (sqrt (sqrt (acos a))) (sqrt a))) (/ (sqrt (sqrt (acos a))) (sqrt a)) (- (sqrt (sqrt (acos a)))) (/ (sqrt (sqrt (acos a))) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ -1 (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) -1 (/ (sqrt (acos a)) a) (* (/ (cbrt (sqrt (acos a))) (cbrt a)) (/ (cbrt (sqrt (acos a))) (cbrt a))) (- (/ (cbrt (sqrt (acos a))) (cbrt a))) (* (/ (cbrt (sqrt (acos a))) (sqrt a)) (cbrt (sqrt (acos a)))) (/ (- (cbrt (sqrt (acos a)))) (sqrt a)) (* (cbrt (sqrt (acos a))) (cbrt (sqrt (acos a)))) (/ (- (cbrt (sqrt (acos a)))) a) (/ (fabs (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (cbrt (acos a)))) (cbrt a)) (/ (fabs (cbrt (acos a))) (sqrt a)) (- (/ (sqrt (cbrt (acos a))) (sqrt a))) (fabs (cbrt (acos a))) (- (/ (sqrt (cbrt (acos a))) a)) (/ (sqrt (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (/ (sqrt (sqrt (acos a))) (sqrt a)) (- (/ (sqrt (sqrt (acos a))) (sqrt a))) (sqrt (sqrt (acos a))) (/ (- (sqrt (sqrt (acos a)))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (- (/ (sqrt (acos a)) (cbrt a))) (/ 1 (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) 1 (- (/ (sqrt (acos a)) a)) (/ (sqrt (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (sqrt (sqrt (acos a)))) (cbrt a)) (/ (sqrt (sqrt (acos a))) (sqrt a)) (- (/ (sqrt (sqrt (acos a))) (sqrt a))) (sqrt (sqrt (acos a))) (/ (- (sqrt 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(- (/ (sqrt (acos a)) a)) (- (/ (sqrt (acos a)) a)) 6.250 * * * [progress]: adding candidates to table 6.878 * [progress]: [Phase 3 of 3] Extracting. 6.878 * * [regime]: Finding splitpoints for: (# # # # #) 6.878 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 6.878 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # #) 6.943 * * * * [regimes]: Trying to branch on a from (# # # # #) 6.983 * * * [regime]: Found split indices: #