68.094 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (/ a (- (acos a))) 0.039 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.039 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.039 * * [simplify]: Extracting # 2 : cost 3 inf + 1 0.039 * * [simplify]: Extracting # 3 : cost 0 inf + 394 0.039 * * [simplify]: iteration 0 : 4 enodes (cost 171 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 inf + 394 0.041 * * [simplify]: iteration complete: 4 enodes (cost 171 ) 0.041 * [simplify]: Simplified to: (/ a (- (acos a))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.082 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.082 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.082 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.082 * [taylor]: Taking taylor expansion of -1 in a 0.082 * [backup-simplify]: Simplify -1 into -1 0.082 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (acos a) in a 0.082 * [backup-simplify]: Simplify (acos a) into (acos a) 0.083 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.083 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.083 * [taylor]: Taking taylor expansion of -1 in a 0.083 * [backup-simplify]: Simplify -1 into -1 0.083 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.083 * [taylor]: Taking taylor expansion of a in a 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (acos a) in a 0.083 * [backup-simplify]: Simplify (acos a) into (acos a) 0.083 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.083 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.083 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.083 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [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 0.089 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.090 * [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 0.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.095 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.095 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.095 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.095 * [taylor]: Taking taylor expansion of -1 in a 0.095 * [backup-simplify]: Simplify -1 into -1 0.095 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.095 * [taylor]: Taking taylor expansion of a in a 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.096 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.096 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.096 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.096 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.096 * [taylor]: Taking taylor expansion of -1 in a 0.096 * [backup-simplify]: Simplify -1 into -1 0.096 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.096 * [taylor]: Taking taylor expansion of a in a 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 1 into 1 0.096 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.097 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.097 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.097 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.097 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.100 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.105 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.105 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.108 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.111 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.112 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.112 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.112 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.112 * [taylor]: Taking taylor expansion of a in a 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.112 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.112 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.113 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.113 * [taylor]: Taking taylor expansion of a in a 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.113 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.113 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.114 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.115 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.122 * [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 0.122 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.124 * [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 0.125 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.128 * [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 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.128 * * * [progress]: simplifying candidates 0.130 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.131 * * [simplify]: Extracting # 0 : cost 71 inf + 0 0.132 * * [simplify]: Extracting # 1 : cost 94 inf + 0 0.132 * * [simplify]: Extracting # 2 : cost 65 inf + 5082 0.134 * * [simplify]: Extracting # 3 : cost 9 inf + 16963 0.137 * * [simplify]: Extracting # 4 : cost 0 inf + 19384 0.139 * * [simplify]: iteration 0 : 96 enodes (cost 19614 ) 0.178 * * [simplify]: Extracting # 0 : cost 0 inf + 19384 0.181 * * [simplify]: Extracting # 1 : cost 31 inf + 18829 0.184 * * [simplify]: Extracting # 2 : cost 0 inf + 25765 0.188 * * [simplify]: Extracting # 3 : cost 0 inf + 25725 0.192 * * [simplify]: iteration 1 : 173 enodes (cost 18814 ) 0.262 * * [simplify]: Extracting # 0 : cost 0 inf + 25725 0.264 * * [simplify]: Extracting # 1 : cost 99 inf + 25724 0.268 * * [simplify]: Extracting # 2 : cost 0 inf + 45443 0.273 * * [simplify]: Extracting # 3 : cost 0 inf + 45323 0.277 * * [simplify]: iteration 2 : 437 enodes (cost 18774 ) 0.463 * * [simplify]: Extracting # 0 : cost 0 inf + 45323 0.473 * * [simplify]: Extracting # 1 : cost 359 inf + 44750 0.486 * * [simplify]: Extracting # 2 : cost 7 inf + 121083 0.508 * * [simplify]: Extracting # 3 : cost 2 inf + 122094 0.541 * * [simplify]: Extracting # 4 : cost 0 inf + 122818 0.559 * * [simplify]: iteration 3 : 1263 enodes (cost 18734 ) 1.353 * * [simplify]: Extracting # 0 : cost 0 inf + 122818 1.389 * * [simplify]: Extracting # 1 : cost 1739 inf + 120471 1.473 * * [simplify]: Extracting # 2 : cost 15 inf + 457774 1.579 * * [simplify]: Extracting # 3 : cost 12 inf + 457739 1.718 * * [simplify]: Extracting # 4 : cost 1 inf + 459986 1.850 * * [simplify]: Extracting # 5 : cost 0 inf + 460369 1.980 * * [simplify]: iteration complete: 5003 enodes (cost 18734 ) 1.981 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (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 (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.986 * * * [progress]: adding candidates to table 2.204 * * [progress]: iteration 2 / 4 2.204 * * * [progress]: picking best candidate 2.235 * * * * [pick]: Picked # 2.235 * * * [progress]: localizing error 2.244 * * * [progress]: generating rewritten candidates 2.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.253 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.281 * * * [progress]: generating series expansions 2.281 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.281 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.281 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.281 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.281 * [taylor]: Taking taylor expansion of -1 in a 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.282 * [taylor]: Taking taylor expansion of (acos a) in a 2.282 * [backup-simplify]: Simplify (acos a) into (acos a) 2.282 * [taylor]: Taking taylor expansion of a in a 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.282 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.282 * [taylor]: Taking taylor expansion of -1 in a 2.282 * [backup-simplify]: Simplify -1 into -1 2.282 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.282 * [taylor]: Taking taylor expansion of (acos a) in a 2.282 * [backup-simplify]: Simplify (acos a) into (acos a) 2.282 * [taylor]: Taking taylor expansion of a in a 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.282 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.282 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.285 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.287 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.289 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.292 * [backup-simplify]: Simplify 0 into 0 2.294 * [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 2.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.296 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.296 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.296 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.296 * [taylor]: Taking taylor expansion of -1 in a 2.296 * [backup-simplify]: Simplify -1 into -1 2.296 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.296 * [taylor]: Taking taylor expansion of a in a 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.296 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.296 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.296 * [taylor]: Taking taylor expansion of -1 in a 2.296 * [backup-simplify]: Simplify -1 into -1 2.296 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.296 * [taylor]: Taking taylor expansion of a in a 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.296 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.296 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.297 * [backup-simplify]: Simplify (* -1 0) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.297 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.297 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.299 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.300 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.302 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.309 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.314 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.315 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.315 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.315 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.315 * [taylor]: Taking taylor expansion of a in a 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.315 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.315 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.315 * [taylor]: Taking taylor expansion of a in a 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.315 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.316 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.316 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.327 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.327 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.328 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.328 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.328 * [taylor]: Taking taylor expansion of -1 in a 2.328 * [backup-simplify]: Simplify -1 into -1 2.328 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.328 * [taylor]: Taking taylor expansion of a in a 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (acos a) in a 2.328 * [backup-simplify]: Simplify (acos a) into (acos a) 2.328 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.328 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.328 * [taylor]: Taking taylor expansion of -1 in a 2.328 * [backup-simplify]: Simplify -1 into -1 2.328 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.328 * [taylor]: Taking taylor expansion of a in a 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [taylor]: Taking taylor expansion of (acos a) in a 2.328 * [backup-simplify]: Simplify (acos a) into (acos a) 2.328 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.328 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.329 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.329 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.329 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.329 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [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 2.335 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [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 2.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.338 * [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 2.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.340 * [backup-simplify]: Simplify 0 into 0 2.340 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.341 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.341 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.341 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.341 * [taylor]: Taking taylor expansion of -1 in a 2.341 * [backup-simplify]: Simplify -1 into -1 2.341 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.341 * [taylor]: Taking taylor expansion of a in a 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.341 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.341 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.341 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.342 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.342 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.342 * [taylor]: Taking taylor expansion of -1 in a 2.342 * [backup-simplify]: Simplify -1 into -1 2.342 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.342 * [taylor]: Taking taylor expansion of a in a 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.342 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.342 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.343 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.343 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.344 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.348 * [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 2.348 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.356 * [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 2.356 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.358 * [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 2.358 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.360 * [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 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.360 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.360 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.360 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.360 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.360 * [taylor]: Taking taylor expansion of a in a 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify 1 into 1 2.360 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.361 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.361 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.361 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.361 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.361 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.361 * [taylor]: Taking taylor expansion of a in a 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.361 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.361 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.362 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.362 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.366 * [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 2.366 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.368 * [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 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.370 * [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 2.370 * [backup-simplify]: Simplify 0 into 0 2.370 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.370 * * * [progress]: simplifying candidates 2.373 * [simplify]: Simplifying: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (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))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos a))) 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1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ (sqrt (- (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 2.377 * * [simplify]: Extracting # 0 : cost 260 inf + 0 2.377 * * [simplify]: Extracting # 1 : cost 289 inf + 0 2.378 * * [simplify]: Extracting # 2 : cost 237 inf + 8885 2.380 * * [simplify]: Extracting # 3 : cost 124 inf + 37140 2.385 * * [simplify]: Extracting # 4 : cost 23 inf + 70785 2.390 * * [simplify]: Extracting # 5 : cost 0 inf + 79081 2.395 * * [simplify]: iteration 0 : 292 enodes (cost 98276 ) 2.582 * * [simplify]: Extracting # 0 : cost 0 inf + 79081 2.601 * * [simplify]: Extracting # 1 : cost 158 inf + 68082 2.628 * * [simplify]: Extracting # 2 : cost 0 inf + 105829 2.661 * * [simplify]: Extracting # 3 : cost 0 inf + 102247 2.691 * * [simplify]: Extracting # 4 : cost 0 inf + 101405 2.718 * * [simplify]: Extracting # 5 : cost 0 inf + 101325 2.746 * * [simplify]: iteration 1 : 774 enodes (cost 81723 ) 3.071 * * [simplify]: Extracting # 0 : cost 0 inf + 101325 3.101 * * [simplify]: Extracting # 1 : cost 404 inf + 99279 3.144 * * [simplify]: Extracting # 2 : cost 0 inf + 179415 3.215 * * [simplify]: Extracting # 3 : cost 0 inf + 179215 3.266 * * [simplify]: iteration 2 : 2016 enodes (cost 80896 ) 4.334 * * [simplify]: Extracting # 0 : cost 0 inf + 179215 4.395 * * [simplify]: Extracting # 1 : cost 733 inf + 167606 4.516 * * [simplify]: Extracting # 2 : cost 4 inf + 323994 4.686 * * [simplify]: Extracting # 3 : cost 2 inf + 322664 4.848 * * [simplify]: Extracting # 4 : cost 0 inf + 323348 5.042 * * [simplify]: iteration 3 : 4741 enodes (cost 74953 ) 6.478 * * [simplify]: Extracting # 0 : cost 0 inf + 323348 6.647 * * [simplify]: Extracting # 1 : cost 116 inf + 322742 6.836 * * [simplify]: Extracting # 2 : cost 0 inf + 346185 7.003 * * [simplify]: iteration complete: 5020 enodes (cost 74953 ) 7.005 * [simplify]: Simplified to: (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))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (* (- (cbrt (acos a))) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt 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))) (expm1 (/ (- a) (acos a))) (log1p (/ (- a) (acos a))) -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (* (* (/ a (acos a)) (/ a (acos a))) (/ (- a) (acos a))) (* (* (/ a (acos a)) (/ a (acos a))) (/ (- a) (acos a))) (* (cbrt (/ (- a) (acos a))) (cbrt (/ (- a) (acos a)))) (cbrt (/ (- a) (acos a))) (* (* (/ a (acos a)) (/ a (acos a))) (/ (- a) (acos a))) (sqrt (/ (- a) (acos a))) (sqrt (/ (- a) (acos a))) -1 (/ (acos a) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) (/ 1 (- (acos a))) a (/ (- a) (acos a)) (/ (- (acos a)) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (sqrt a) (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ 1 (* (- (cbrt (acos a))) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 7.025 * * * [progress]: adding candidates to table 7.699 * * [progress]: iteration 3 / 4 7.699 * * * [progress]: picking best candidate 7.763 * * * * [pick]: Picked # 7.763 * * * [progress]: localizing error 7.778 * * * [progress]: generating rewritten candidates 7.778 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.794 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.813 * * * [progress]: generating series expansions 7.813 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.813 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.813 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 7.813 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.813 * [taylor]: Taking taylor expansion of -1 in a 7.813 * [backup-simplify]: Simplify -1 into -1 7.814 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.814 * [taylor]: Taking taylor expansion of (acos a) in a 7.814 * [backup-simplify]: Simplify (acos a) into (acos a) 7.814 * [taylor]: Taking taylor expansion of a in a 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.814 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.814 * [taylor]: Taking taylor expansion of -1 in a 7.814 * [backup-simplify]: Simplify -1 into -1 7.814 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.814 * [taylor]: Taking taylor expansion of (acos a) in a 7.814 * [backup-simplify]: Simplify (acos a) into (acos a) 7.814 * [taylor]: Taking taylor expansion of a in a 7.814 * [backup-simplify]: Simplify 0 into 0 7.814 * [backup-simplify]: Simplify 1 into 1 7.814 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.814 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.814 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 7.815 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.817 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 7.820 * [backup-simplify]: Simplify 0 into 0 7.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 7.822 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 7.825 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.828 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 7.828 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 7.828 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 7.828 * [taylor]: Taking taylor expansion of -1 in a 7.828 * [backup-simplify]: Simplify -1 into -1 7.828 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.828 * [taylor]: Taking taylor expansion of a in a 7.828 * [backup-simplify]: Simplify 0 into 0 7.828 * [backup-simplify]: Simplify 1 into 1 7.828 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.829 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.829 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 7.829 * [taylor]: Taking taylor expansion of -1 in a 7.829 * [backup-simplify]: Simplify -1 into -1 7.829 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.829 * [taylor]: Taking taylor expansion of a in a 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 1 into 1 7.829 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.829 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.829 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.829 * [backup-simplify]: Simplify (* -1 0) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.830 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 7.830 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 7.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 7.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 7.831 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 7.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 7.837 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 7.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 7.840 * [backup-simplify]: Simplify 0 into 0 7.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 7.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 7.844 * [backup-simplify]: Simplify 0 into 0 7.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 7.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 7.849 * [backup-simplify]: Simplify 0 into 0 7.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 7.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.854 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 7.854 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 7.854 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.854 * [taylor]: Taking taylor expansion of a in a 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 1 into 1 7.854 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.854 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.854 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.854 * [taylor]: Taking taylor expansion of a in a 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.855 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.855 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.855 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.856 * [backup-simplify]: Simplify 0 into 0 7.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.857 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.861 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.862 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 7.864 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.864 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 7.864 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 7.864 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.864 * [taylor]: Taking taylor expansion of -1 in a 7.864 * [backup-simplify]: Simplify -1 into -1 7.864 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.864 * [taylor]: Taking taylor expansion of a in a 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.864 * [taylor]: Taking taylor expansion of (acos a) in a 7.864 * [backup-simplify]: Simplify (acos a) into (acos a) 7.865 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.865 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.865 * [taylor]: Taking taylor expansion of -1 in a 7.865 * [backup-simplify]: Simplify -1 into -1 7.865 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.865 * [taylor]: Taking taylor expansion of a in a 7.865 * [backup-simplify]: Simplify 0 into 0 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [taylor]: Taking taylor expansion of (acos a) in a 7.865 * [backup-simplify]: Simplify (acos a) into (acos a) 7.865 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.865 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 7.865 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 7.865 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 7.865 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 7.865 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 7.866 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.867 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 7.868 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 7.872 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 7.872 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 7.872 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 7.872 * [taylor]: Taking taylor expansion of -1 in a 7.872 * [backup-simplify]: Simplify -1 into -1 7.872 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.872 * [taylor]: Taking taylor expansion of a in a 7.872 * [backup-simplify]: Simplify 0 into 0 7.872 * [backup-simplify]: Simplify 1 into 1 7.872 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.872 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.872 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.872 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.873 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 7.873 * [taylor]: Taking taylor expansion of -1 in a 7.873 * [backup-simplify]: Simplify -1 into -1 7.873 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.873 * [taylor]: Taking taylor expansion of a in a 7.873 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify 1 into 1 7.873 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.873 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.873 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 7.874 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 7.874 * [backup-simplify]: Simplify 0 into 0 7.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 7.875 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.875 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 7.876 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 7.878 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.878 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 7.879 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.880 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 7.882 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 7.882 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 7.882 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 7.882 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.882 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.882 * [taylor]: Taking taylor expansion of a in a 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.882 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.882 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.882 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.882 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.882 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.882 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.882 * [taylor]: Taking taylor expansion of a in a 7.882 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.883 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.883 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.883 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.883 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 7.884 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.885 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.886 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.887 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.889 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.891 * [backup-simplify]: Simplify 0 into 0 7.892 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 7.892 * * * [progress]: simplifying candidates 7.894 * [simplify]: Simplifying: (expm1 (* (- (acos a)) (/ 1 a))) (log1p (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 7.895 * * [simplify]: Extracting # 0 : cost 78 inf + 0 7.895 * * [simplify]: Extracting # 1 : cost 118 inf + 0 7.896 * * [simplify]: Extracting # 2 : cost 123 inf + 84 7.896 * * [simplify]: Extracting # 3 : cost 95 inf + 4377 7.898 * * [simplify]: Extracting # 4 : cost 37 inf + 18052 7.899 * * [simplify]: Extracting # 5 : cost 12 inf + 25801 7.901 * * [simplify]: Extracting # 6 : cost 2 inf + 29702 7.904 * * [simplify]: Extracting # 7 : cost 0 inf + 30526 7.906 * * [simplify]: iteration 0 : 129 enodes (cost 28245 ) 7.952 * * [simplify]: Extracting # 0 : cost 0 inf + 30526 7.960 * * [simplify]: Extracting # 1 : cost 67 inf + 26721 7.969 * * [simplify]: Extracting # 2 : cost 0 inf + 38760 7.978 * * [simplify]: Extracting # 3 : cost 0 inf + 37380 7.984 * * [simplify]: Extracting # 4 : cost 0 inf + 36404 7.990 * * [simplify]: iteration 1 : 356 enodes (cost 22389 ) 8.114 * * [simplify]: Extracting # 0 : cost 0 inf + 36404 8.127 * * [simplify]: Extracting # 1 : cost 204 inf + 34290 8.153 * * [simplify]: Extracting # 2 : cost 4 inf + 72199 8.171 * * [simplify]: Extracting # 3 : cost 5 inf + 72039 8.185 * * [simplify]: Extracting # 4 : cost 4 inf + 72040 8.198 * * [simplify]: Extracting # 5 : cost 1 inf + 72699 8.211 * * [simplify]: Extracting # 6 : cost 0 inf + 73192 8.231 * * [simplify]: iteration 2 : 864 enodes (cost 21450 ) 8.922 * * [simplify]: Extracting # 0 : cost 0 inf + 73192 8.977 * * [simplify]: Extracting # 1 : cost 384 inf + 66330 9.065 * * [simplify]: Extracting # 2 : cost 20 inf + 138841 9.185 * * [simplify]: Extracting # 3 : cost 4 inf + 142433 9.311 * * [simplify]: Extracting # 4 : cost 0 inf + 144072 9.393 * * [simplify]: iteration 3 : 2458 enodes (cost 19958 ) 10.188 * * [simplify]: Extracting # 0 : cost 0 inf + 144072 10.358 * * [simplify]: Extracting # 1 : cost 999 inf + 139881 10.541 * * [simplify]: Extracting # 2 : cost 0 inf + 356095 10.834 * * [simplify]: Extracting # 3 : cost 0 inf + 356094 11.099 * * [simplify]: iteration complete: 5034 enodes (cost 19958 ) 11.100 * [simplify]: Simplified to: (expm1 (/ (- (acos a)) a)) (log1p (/ (- (acos a)) a)) (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (- (acos a)) (expm1 (/ (- a) (acos a))) (log1p (/ (- a) (acos a))) -1 -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (* (/ (- a) (acos a)) (* (/ (- a) (acos a)) (/ (- a) (acos a)))) (* (/ (- a) (acos a)) (* (/ (- a) (acos a)) (/ (- a) (acos a)))) (* (/ (- a) (acos a)) (* (/ (- a) (acos a)) (/ (- a) (acos a)))) (* (cbrt (/ (- a) (acos a))) (cbrt (/ (- a) (acos a)))) (cbrt (/ (- a) (acos a))) (* (/ (- a) (acos a)) (* (/ (- a) (acos a)) (/ (- a) (acos a)))) (sqrt (/ (- a) (acos a))) (sqrt (/ (- a) (acos a))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ (- a) (acos a)) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 11.106 * * * [progress]: adding candidates to table 11.440 * * [progress]: iteration 4 / 4 11.440 * * * [progress]: picking best candidate 11.488 * * * * [pick]: Picked # 11.488 * * * [progress]: localizing error 11.507 * * * [progress]: generating rewritten candidates 11.507 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 11.537 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 11.602 * * * [progress]: generating series expansions 11.603 * * * * [progress]: [ 1 / 2 ] generating series at (2) 11.603 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 11.603 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 11.603 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 11.603 * [taylor]: Taking taylor expansion of -1 in a 11.603 * [backup-simplify]: Simplify -1 into -1 11.603 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 11.603 * [taylor]: Taking taylor expansion of a in a 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [taylor]: Taking taylor expansion of (acos a) in a 11.603 * [backup-simplify]: Simplify (acos a) into (acos a) 11.603 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 11.603 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 11.603 * [taylor]: Taking taylor expansion of -1 in a 11.603 * [backup-simplify]: Simplify -1 into -1 11.603 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 11.603 * [taylor]: Taking taylor expansion of a in a 11.603 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [taylor]: Taking taylor expansion of (acos a) in a 11.604 * [backup-simplify]: Simplify (acos a) into (acos a) 11.604 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 11.604 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 11.604 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.604 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 11.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 11.605 * [backup-simplify]: Simplify 0 into 0 11.605 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 11.606 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 11.608 * [backup-simplify]: Simplify 0 into 0 11.608 * [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 11.610 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 11.610 * [backup-simplify]: Simplify 0 into 0 11.611 * [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 11.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 11.613 * [backup-simplify]: Simplify 0 into 0 11.613 * [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 11.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 11.616 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 11.616 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 11.616 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 11.616 * [taylor]: Taking taylor expansion of -1 in a 11.616 * [backup-simplify]: Simplify -1 into -1 11.616 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 11.616 * [taylor]: Taking taylor expansion of a in a 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 1 into 1 11.616 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.616 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.616 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 11.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 11.617 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.617 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 11.617 * [taylor]: Taking taylor expansion of -1 in a 11.617 * [backup-simplify]: Simplify -1 into -1 11.617 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 11.617 * [taylor]: Taking taylor expansion of a in a 11.617 * [backup-simplify]: Simplify 0 into 0 11.617 * [backup-simplify]: Simplify 1 into 1 11.617 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.617 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.617 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 11.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 11.618 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.618 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 11.619 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 11.619 * [backup-simplify]: Simplify 0 into 0 11.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 11.621 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.621 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 11.623 * [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 11.624 * [backup-simplify]: Simplify 0 into 0 11.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 11.626 * [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 11.626 * [backup-simplify]: Simplify 0 into 0 11.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 11.629 * [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 11.629 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 11.633 * [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 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 11.633 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 11.633 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 11.633 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 11.633 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.633 * [taylor]: Taking taylor expansion of a in a 11.633 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify 1 into 1 11.633 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.633 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.633 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 11.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 11.634 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.634 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 11.634 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.634 * [taylor]: Taking taylor expansion of a in a 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.634 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.634 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.634 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 11.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 11.635 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.635 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 11.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 11.636 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 11.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 11.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.640 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 11.642 * [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 11.642 * [backup-simplify]: Simplify 0 into 0 11.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 11.645 * [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 11.645 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 11.649 * [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 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 11.649 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 11.649 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 11.649 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 11.649 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 11.649 * [taylor]: Taking taylor expansion of -1 in a 11.649 * [backup-simplify]: Simplify -1 into -1 11.649 * [taylor]: Taking taylor expansion of (acos a) in a 11.649 * [backup-simplify]: Simplify (acos a) into (acos a) 11.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.649 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 11.650 * [taylor]: Taking taylor expansion of -1 in a 11.650 * [backup-simplify]: Simplify -1 into -1 11.650 * [taylor]: Taking taylor expansion of (acos a) in a 11.650 * [backup-simplify]: Simplify (acos a) into (acos a) 11.650 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.650 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.650 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [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 11.651 * [backup-simplify]: Simplify 0 into 0 11.652 * [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 11.652 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.653 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 11.653 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 11.653 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 11.653 * [taylor]: Taking taylor expansion of -1 in a 11.653 * [backup-simplify]: Simplify -1 into -1 11.653 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.653 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.653 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.653 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 11.653 * [taylor]: Taking taylor expansion of -1 in a 11.653 * [backup-simplify]: Simplify -1 into -1 11.653 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.653 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.654 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.654 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.654 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.654 * [backup-simplify]: Simplify 0 into 0 11.655 * [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 11.655 * [backup-simplify]: Simplify 0 into 0 11.656 * [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 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [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 11.656 * [backup-simplify]: Simplify 0 into 0 11.657 * [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 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 11.657 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 11.658 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 11.658 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 11.658 * [taylor]: Taking taylor expansion of -1 in a 11.658 * [backup-simplify]: Simplify -1 into -1 11.658 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.658 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.658 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 11.658 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 11.658 * [taylor]: Taking taylor expansion of -1 in a 11.658 * [backup-simplify]: Simplify -1 into -1 11.658 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.658 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.658 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 11.658 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 11.659 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.660 * [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 11.660 * [backup-simplify]: Simplify 0 into 0 11.660 * [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 11.660 * [backup-simplify]: Simplify 0 into 0 11.661 * [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 11.661 * [backup-simplify]: Simplify 0 into 0 11.662 * [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 11.662 * [backup-simplify]: Simplify 0 into 0 11.662 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 11.662 * * * [progress]: simplifying candidates 11.690 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- 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1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 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(/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 11.721 * * [simplify]: Extracting # 0 : cost 755 inf + 0 11.725 * * [simplify]: Extracting # 1 : cost 801 inf + 0 11.729 * * [simplify]: Extracting # 2 : cost 780 inf + 3470 11.734 * * [simplify]: Extracting # 3 : cost 746 inf + 9656 11.742 * * [simplify]: Extracting # 4 : cost 654 inf + 31494 11.770 * * [simplify]: Extracting # 5 : cost 225 inf + 189966 11.810 * * [simplify]: Extracting # 6 : cost 14 inf + 279913 11.854 * * [simplify]: Extracting # 7 : cost 0 inf + 286921 11.895 * * [simplify]: iteration 0 : 811 enodes (cost 366342 ) 13.077 * * [simplify]: Extracting # 0 : cost 0 inf + 286921 13.133 * * [simplify]: Extracting # 1 : cost 445 inf + 260585 13.238 * * [simplify]: Extracting # 2 : cost 24 inf + 331245 13.332 * * [simplify]: Extracting # 3 : cost 0 inf + 321413 13.450 * * [simplify]: Extracting # 4 : cost 0 inf + 321253 13.573 * * [simplify]: iteration 1 : 2690 enodes (cost 271014 ) 14.647 * * [simplify]: Extracting # 0 : cost 0 inf + 321253 14.788 * * [simplify]: Extracting # 1 : cost 840 inf + 314171 14.979 * * [simplify]: Extracting # 2 : cost 0 inf + 501770 15.201 * * [simplify]: Extracting # 3 : cost 0 inf + 490960 15.366 * * [simplify]: Extracting # 4 : cost 0 inf + 490160 15.528 * * [simplify]: iteration 2 : 4924 enodes (cost 253586 ) 16.238 * * [simplify]: Extracting # 0 : cost 0 inf + 490160 16.471 * * [simplify]: Extracting # 1 : cost 44 inf + 490153 16.649 * * [simplify]: Extracting # 2 : cost 0 inf + 497800 16.853 * * [simplify]: iteration complete: 5009 enodes (cost 253586 ) 16.861 * [simplify]: Simplified to: (expm1 (* (/ 1 (- (acos a))) a)) (log1p (* (/ 1 (- (acos a))) a)) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- 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a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 16.930 * * * [progress]: adding candidates to table 18.089 * [progress]: [Phase 3 of 3] Extracting. 18.089 * * [regime]: Finding splitpoints for: (# # # # # #) 18.091 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 18.091 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 18.150 * * * * [regimes]: Trying to branch on a from (# # # # # #) 18.191 * * * [regime]: Found split indices: #