38.062 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (/ a (- (acos a))) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.035 * [simplify]: Simplified to: (/ a (- (acos a))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.065 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.065 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.065 * [taylor]: Taking taylor expansion of -1 in a 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.066 * [taylor]: Taking taylor expansion of a in a 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of (acos a) in a 0.066 * [backup-simplify]: Simplify (acos a) into (acos a) 0.066 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.066 * [taylor]: Taking taylor expansion of -1 in a 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.066 * [taylor]: Taking taylor expansion of a in a 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [taylor]: Taking taylor expansion of (acos a) in a 0.066 * [backup-simplify]: Simplify (acos a) into (acos a) 0.066 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.066 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.066 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.067 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.069 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [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 0.071 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [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 0.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [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 0.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.075 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.075 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.075 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.075 * [taylor]: Taking taylor expansion of -1 in a 0.075 * [backup-simplify]: Simplify -1 into -1 0.075 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.075 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.075 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.075 * [taylor]: Taking taylor expansion of a in a 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.076 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.076 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.076 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.076 * [taylor]: Taking taylor expansion of -1 in a 0.076 * [backup-simplify]: Simplify -1 into -1 0.076 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.076 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.076 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.076 * [taylor]: Taking taylor expansion of a in a 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.077 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.077 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.077 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.078 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.081 * [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 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.083 * [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 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.085 * [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 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.087 * [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 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.087 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.087 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.087 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.087 * [taylor]: Taking taylor expansion of a in a 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.088 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.088 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.088 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.088 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.089 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.089 * [taylor]: Taking taylor expansion of a in a 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.089 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.089 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.089 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.090 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.090 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.096 * [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 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.099 * [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 0.099 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.102 * [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 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.102 * * * [progress]: simplifying candidates 0.104 * [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))) 0.106 * * [simplify]: Extracting # 0 : cost 0 0.106 * * [simplify]: Extracting # 1 : cost 0 0.106 * * [simplify]: Extracting # 2 : cost 0 0.106 * * [simplify]: Extracting # 3 : cost 0 0.106 * * [simplify]: Extracting # 4 : cost 0 0.107 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.140 * * [simplify]: Extracting # 0 : cost 0 0.140 * * [simplify]: Extracting # 1 : cost 0 0.140 * * [simplify]: Extracting # 2 : cost 0 0.140 * * [simplify]: Extracting # 3 : cost 0 0.141 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: Extracting # 1 : cost 0 0.195 * * [simplify]: Extracting # 2 : cost 0 0.195 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: Extracting # 4 : cost 0 0.196 * * [simplify]: iteration 2 : 333 enodes (cost 563 ) 0.305 * * [simplify]: Extracting # 0 : cost 0 0.306 * * [simplify]: Extracting # 1 : cost 0 0.307 * * [simplify]: Extracting # 2 : cost 0 0.308 * * [simplify]: Extracting # 3 : cost 0 0.309 * * [simplify]: Extracting # 4 : cost 0 0.310 * * [simplify]: iteration 3 : 587 enodes (cost 563 ) 0.604 * * [simplify]: Extracting # 0 : cost 0 0.606 * * [simplify]: Extracting # 1 : cost 0 0.608 * * [simplify]: Extracting # 2 : cost 0 0.609 * * [simplify]: Extracting # 3 : cost 0 0.611 * * [simplify]: Extracting # 4 : cost 0 0.613 * * [simplify]: iteration 4 : 1105 enodes (cost 563 ) 1.786 * * [simplify]: Extracting # 0 : cost 0 1.790 * * [simplify]: Extracting # 1 : cost 0 1.792 * * [simplify]: Extracting # 2 : cost 0 1.795 * * [simplify]: Extracting # 3 : cost 0 1.797 * * [simplify]: Extracting # 4 : cost 0 1.799 * * [simplify]: iteration 5 : 2150 enodes (cost 558 ) 4.304 * * [simplify]: Extracting # 0 : cost 0 4.309 * * [simplify]: Extracting # 1 : cost 0 4.314 * * [simplify]: Extracting # 2 : cost 0 4.319 * * [simplify]: Extracting # 3 : cost 0 4.323 * * [simplify]: Extracting # 4 : cost 0 4.329 * * [simplify]: iteration done: 5001 enodes (cost 558 ) 4.329 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 4.330 * * * [progress]: adding candidates to table 4.436 * * [progress]: iteration 2 / 4 4.436 * * * [progress]: picking best candidate 4.450 * * * * [pick]: Picked # 4.450 * * * [progress]: localizing error 4.456 * * * [progress]: generating rewritten candidates 4.456 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.474 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.481 * * * [progress]: generating series expansions 4.481 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.482 * [backup-simplify]: Simplify (* a (/ -1 (acos a))) into (* -1 (/ a (acos a))) 4.482 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.482 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.482 * [taylor]: Taking taylor expansion of -1 in a 4.482 * [backup-simplify]: Simplify -1 into -1 4.482 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.482 * [taylor]: Taking taylor expansion of a in a 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [taylor]: Taking taylor expansion of (acos a) in a 4.482 * [backup-simplify]: Simplify (acos a) into (acos a) 4.482 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.482 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.482 * [taylor]: Taking taylor expansion of -1 in a 4.482 * [backup-simplify]: Simplify -1 into -1 4.482 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.482 * [taylor]: Taking taylor expansion of a in a 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 1 into 1 4.482 * [taylor]: Taking taylor expansion of (acos a) in a 4.482 * [backup-simplify]: Simplify (acos a) into (acos a) 4.482 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.482 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.482 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.482 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.483 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.490 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.490 * [backup-simplify]: Simplify (* (/ 1 a) (/ -1 (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 4.490 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 4.490 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.490 * [taylor]: Taking taylor expansion of -1 in a 4.490 * [backup-simplify]: Simplify -1 into -1 4.490 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.490 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.490 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.490 * [taylor]: Taking taylor expansion of a in a 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.491 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.491 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.491 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.491 * [taylor]: Taking taylor expansion of -1 in a 4.491 * [backup-simplify]: Simplify -1 into -1 4.491 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.491 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.491 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.491 * [taylor]: Taking taylor expansion of a in a 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.492 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.492 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.492 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.492 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 4.492 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.493 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.494 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.495 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.497 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.498 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.498 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ -1 (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 4.498 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.498 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.499 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.499 * [taylor]: Taking taylor expansion of a in a 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.499 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.499 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.499 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.499 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.499 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.499 * [taylor]: Taking taylor expansion of a in a 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.499 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.499 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.500 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.500 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.505 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.507 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.509 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 4.509 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.509 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.509 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.509 * [taylor]: Taking taylor expansion of -1 in a 4.509 * [backup-simplify]: Simplify -1 into -1 4.509 * [taylor]: Taking taylor expansion of (acos a) in a 4.509 * [backup-simplify]: Simplify (acos a) into (acos a) 4.509 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.509 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.509 * [taylor]: Taking taylor expansion of -1 in a 4.509 * [backup-simplify]: Simplify -1 into -1 4.509 * [taylor]: Taking taylor expansion of (acos a) in a 4.509 * [backup-simplify]: Simplify (acos a) into (acos a) 4.509 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.509 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.509 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.511 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.511 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.511 * [taylor]: Taking taylor expansion of -1 in a 4.511 * [backup-simplify]: Simplify -1 into -1 4.511 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.511 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.511 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.511 * [taylor]: Taking taylor expansion of -1 in a 4.511 * [backup-simplify]: Simplify -1 into -1 4.511 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.511 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.511 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.512 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.513 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (- a)))) into (/ -1 (acos (/ -1 a))) 4.513 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.514 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.514 * [taylor]: Taking taylor expansion of -1 in a 4.514 * [backup-simplify]: Simplify -1 into -1 4.514 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.514 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.514 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.514 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.514 * [taylor]: Taking taylor expansion of -1 in a 4.514 * [backup-simplify]: Simplify -1 into -1 4.514 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.514 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.514 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.514 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.514 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.514 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.514 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.516 * [backup-simplify]: Simplify 0 into 0 4.516 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.516 * * * [progress]: simplifying candidates 4.517 * [simplify]: Simplifying: (expm1 (* a (/ -1 (acos a)))) (log1p (* a (/ -1 (acos a)))) (* a (/ -1 (acos a))) (+ (log a) (- (log -1) (log (acos a)))) (+ (log a) (log (/ -1 (acos a)))) (log (* a (/ -1 (acos a)))) (exp (* a (/ -1 (acos a)))) (* (* (* a a) a) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a)))) (* (* (* a a) a) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a)))) (* (cbrt (* a (/ -1 (acos a)))) (cbrt (* a (/ -1 (acos a))))) (cbrt (* a (/ -1 (acos a)))) (* (* (* a (/ -1 (acos a))) (* a (/ -1 (acos a)))) (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (sqrt (* a (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) 1)) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* a (/ (sqrt -1) 1)) (* a (/ 1 (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ 1 (sqrt (acos a)))) (* a (/ 1 1)) (* a 1) (* a -1) (* (cbrt a) (/ -1 (acos a))) (* (sqrt a) (/ -1 (acos a))) (* a (/ -1 (acos a))) (* a -1) (expm1 (/ -1 (acos a))) (log1p (/ -1 (acos a))) (- (log -1) (log (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (/ (* (* -1 -1) -1) (* (* (acos a) (acos a)) (acos a))) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (* (* (/ -1 (acos a)) (/ -1 (acos a))) (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) (- -1) (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) 1) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) 1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) (/ 1 1) (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) (/ -1 1) (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 4.518 * * [simplify]: Extracting # 0 : cost 0 4.518 * * [simplify]: Extracting # 1 : cost 0 4.518 * * [simplify]: Extracting # 2 : cost 0 4.518 * * [simplify]: Extracting # 3 : cost 0 4.518 * * [simplify]: Extracting # 4 : cost 0 4.518 * * [simplify]: Extracting # 5 : cost 0 4.519 * * [simplify]: iteration 0 : 90 enodes (cost 582 ) 4.542 * * [simplify]: Extracting # 0 : cost 0 4.543 * * [simplify]: Extracting # 1 : cost 0 4.543 * * [simplify]: Extracting # 2 : cost 0 4.543 * * [simplify]: iteration 1 : 184 enodes (cost 532 ) 4.600 * * [simplify]: Extracting # 0 : cost 0 4.601 * * [simplify]: Extracting # 1 : cost 0 4.601 * * [simplify]: Extracting # 2 : cost 0 4.602 * * [simplify]: Extracting # 3 : cost 0 4.602 * * [simplify]: Extracting # 4 : cost 0 4.603 * * [simplify]: Extracting # 5 : cost 0 4.603 * * [simplify]: iteration 2 : 512 enodes (cost 482 ) 5.052 * * [simplify]: Extracting # 0 : cost 0 5.054 * * [simplify]: Extracting # 1 : cost 0 5.056 * * [simplify]: Extracting # 2 : cost 0 5.057 * * [simplify]: Extracting # 3 : cost 0 5.058 * * [simplify]: Extracting # 4 : cost 0 5.059 * * [simplify]: iteration 3 : 1392 enodes (cost 480 ) 8.446 * * [simplify]: Extracting # 0 : cost 0 8.451 * * [simplify]: Extracting # 1 : cost 0 8.454 * * [simplify]: Extracting # 2 : cost 0 8.456 * * [simplify]: Extracting # 3 : cost 0 8.459 * * [simplify]: Extracting # 4 : cost 0 8.461 * * [simplify]: iteration 4 : 3526 enodes (cost 480 ) 10.111 * * [simplify]: Extracting # 0 : cost 0 10.116 * * [simplify]: Extracting # 1 : cost 0 10.120 * * [simplify]: Extracting # 2 : cost 0 10.125 * * [simplify]: iteration done: 5000 enodes (cost 480 ) 10.125 * [simplify]: Simplified to: (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) (/ (- a) (acos a)) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (pow (- (/ a (acos a))) 3) (* (cbrt (- (/ a (acos a)))) (cbrt (- (/ a (acos a))))) (cbrt (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (sqrt (- (/ a (acos a)))) (sqrt (- (/ a (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (sqrt (/ -1 (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt a) (/ (sqrt -1) (sqrt (acos a)))) (* a (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a))))) (* a (sqrt (/ -1 (acos a)))) (* a (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a)))) (* a (* (cbrt -1) (cbrt -1))) (* a (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a))))) (* a (/ (sqrt -1) (sqrt (acos a)))) (* (sqrt -1) a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a a (- a) (/ (- (cbrt a)) (acos a)) (/ (- (sqrt a)) (acos a)) (/ (- a) (acos a)) (- a) (expm1 (/ -1 (acos a))) (log1p (/ -1 (acos a))) (log (/ -1 (acos a))) (log (/ -1 (acos a))) (exp (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (* (cbrt (/ -1 (acos a))) (cbrt (/ -1 (acos a)))) (cbrt (/ -1 (acos a))) (pow (/ -1 (acos a)) 3) (sqrt (/ -1 (acos a))) (sqrt (/ -1 (acos a))) 1 (- (acos a)) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt -1) (cbrt (acos a))) (/ (* (cbrt -1) (cbrt -1)) (sqrt (acos a))) (/ (cbrt -1) (sqrt (acos a))) (* (cbrt -1) (cbrt -1)) (/ (cbrt -1) (acos a)) (/ (sqrt -1) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt -1) (cbrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (/ (sqrt -1) (sqrt (acos a))) (sqrt -1) (/ (sqrt -1) (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (cbrt (acos a))) (/ 1 (sqrt (acos a))) (/ -1 (sqrt (acos a))) 1 (/ -1 (acos a)) (/ 1 (acos a)) (/ (acos a) -1) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (sqrt (acos a))) -1 (/ (acos a) (cbrt -1)) (/ (acos a) (sqrt -1)) (/ (acos a) -1) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 10.126 * * * [progress]: adding candidates to table 10.257 * * [progress]: iteration 3 / 4 10.257 * * * [progress]: picking best candidate 10.266 * * * * [pick]: Picked # 10.266 * * * [progress]: localizing error 10.273 * * * [progress]: generating rewritten candidates 10.273 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.294 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 10.310 * * * [progress]: generating series expansions 10.310 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.310 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 10.310 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 10.310 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.310 * [taylor]: Taking taylor expansion of -1 in a 10.310 * [backup-simplify]: Simplify -1 into -1 10.310 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.310 * [taylor]: Taking taylor expansion of a in a 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.310 * [taylor]: Taking taylor expansion of (acos a) in a 10.310 * [backup-simplify]: Simplify (acos a) into (acos a) 10.310 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.310 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.310 * [taylor]: Taking taylor expansion of -1 in a 10.310 * [backup-simplify]: Simplify -1 into -1 10.310 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.310 * [taylor]: Taking taylor expansion of a in a 10.310 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify 1 into 1 10.310 * [taylor]: Taking taylor expansion of (acos a) in a 10.310 * [backup-simplify]: Simplify (acos a) into (acos a) 10.311 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.311 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 10.311 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.311 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 10.311 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 10.312 * [backup-simplify]: Simplify 0 into 0 10.312 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 10.312 * [backup-simplify]: Simplify 0 into 0 10.313 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 10.313 * [backup-simplify]: Simplify 0 into 0 10.314 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 10.315 * [backup-simplify]: Simplify 0 into 0 10.315 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 10.316 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 10.318 * [backup-simplify]: Simplify 0 into 0 10.318 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 10.319 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 10.319 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 10.319 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.319 * [taylor]: Taking taylor expansion of -1 in a 10.319 * [backup-simplify]: Simplify -1 into -1 10.319 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.319 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.319 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.319 * [taylor]: Taking taylor expansion of a in a 10.319 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify 1 into 1 10.319 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.319 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.319 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.319 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 10.319 * [taylor]: Taking taylor expansion of -1 in a 10.319 * [backup-simplify]: Simplify -1 into -1 10.319 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.319 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.319 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.319 * [taylor]: Taking taylor expansion of a in a 10.319 * [backup-simplify]: Simplify 0 into 0 10.320 * [backup-simplify]: Simplify 1 into 1 10.320 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.320 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.320 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.320 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.321 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.321 * [backup-simplify]: Simplify 0 into 0 10.321 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.322 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.323 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.324 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.324 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.325 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.327 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 10.327 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 10.327 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 10.327 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.327 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.327 * [taylor]: Taking taylor expansion of a in a 10.327 * [backup-simplify]: Simplify 0 into 0 10.327 * [backup-simplify]: Simplify 1 into 1 10.327 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.327 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.327 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.328 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.328 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.328 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.328 * [taylor]: Taking taylor expansion of a in a 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.328 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.328 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.329 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.329 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.331 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.331 * [backup-simplify]: Simplify 0 into 0 10.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.332 * [backup-simplify]: Simplify 0 into 0 10.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.334 * [backup-simplify]: Simplify 0 into 0 10.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.335 * [backup-simplify]: Simplify 0 into 0 10.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.338 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 10.338 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 10.338 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 10.338 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 10.338 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 10.338 * [taylor]: Taking taylor expansion of (acos a) in a 10.338 * [backup-simplify]: Simplify (acos a) into (acos a) 10.338 * [taylor]: Taking taylor expansion of a in a 10.338 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify 1 into 1 10.338 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 10.338 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 10.338 * [taylor]: Taking taylor expansion of (acos a) in a 10.338 * [backup-simplify]: Simplify (acos a) into (acos a) 10.338 * [taylor]: Taking taylor expansion of a in a 10.338 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify 1 into 1 10.338 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 10.338 * [backup-simplify]: Simplify (acos a) into (acos a) 10.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 10.339 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.340 * [backup-simplify]: Simplify 0 into 0 10.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.341 * [backup-simplify]: Simplify 0 into 0 10.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.343 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.345 * [backup-simplify]: Simplify 0 into 0 10.347 * [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 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 10.347 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 10.347 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 10.347 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.347 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.347 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.347 * [taylor]: Taking taylor expansion of a in a 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify 1 into 1 10.347 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 10.347 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.347 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.347 * [taylor]: Taking taylor expansion of a in a 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify 1 into 1 10.347 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 10.347 * [backup-simplify]: Simplify 0 into 0 10.348 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 10.348 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.348 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 10.348 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.349 * [backup-simplify]: Simplify 0 into 0 10.350 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.350 * [backup-simplify]: Simplify 0 into 0 10.351 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 10.351 * [backup-simplify]: Simplify 0 into 0 10.353 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 10.353 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 10.354 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 10.354 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 10.354 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 10.354 * [taylor]: Taking taylor expansion of -1 in a 10.354 * [backup-simplify]: Simplify -1 into -1 10.354 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.354 * [taylor]: Taking taylor expansion of a in a 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.354 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.354 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 10.354 * [taylor]: Taking taylor expansion of -1 in a 10.354 * [backup-simplify]: Simplify -1 into -1 10.354 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.354 * [taylor]: Taking taylor expansion of a in a 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.354 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.354 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.355 * [backup-simplify]: Simplify (* -1 0) into 0 10.355 * [backup-simplify]: Simplify 0 into 0 10.355 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.355 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 10.356 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 10.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 10.357 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 10.358 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 10.360 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 10.363 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.366 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 10.366 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 10.369 * [backup-simplify]: Simplify 0 into 0 10.369 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 10.369 * * * [progress]: simplifying candidates 10.372 * [simplify]: Simplifying: (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos 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)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 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 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 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 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) 1) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) -1) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (sqrt 1) (cbrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) 1))) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (- (/ 1 (sqrt a)))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (- (/ 1 1))) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (sqrt 1) (- (cbrt (/ (acos a) a)))) (/ (sqrt 1) (sqrt (/ (acos a) a))) (/ (sqrt 1) (- (sqrt (/ (acos a) a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (- (/ (cbrt (acos a)) a))) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (- (/ (sqrt (acos a)) a))) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (- (/ (acos a) (cbrt a)))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (- (/ (acos a) (sqrt a)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (- (/ (acos a) a))) (/ (sqrt 1) 1) (/ (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 1) (/ 1 (- (/ (acos a) a))) (/ 1 -1) (/ 1 (/ (acos a) a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ 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 (* (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) (/ 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 1) (/ 1 -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)) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (- (log (acos a)) (log a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (* (* (acos a) (acos a)) (acos a)) (* (* a a) a)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a)) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 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) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (/ (acos a) 1) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 10.376 * * [simplify]: Extracting # 0 : cost 0 10.376 * * [simplify]: Extracting # 1 : cost 0 10.377 * * [simplify]: Extracting # 2 : cost 0 10.377 * * [simplify]: Extracting # 3 : cost 0 10.377 * * [simplify]: Extracting # 4 : cost 0 10.378 * * [simplify]: Extracting # 5 : cost 0 10.378 * * [simplify]: Extracting # 6 : cost 0 10.379 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 10.537 * * [simplify]: Extracting # 0 : cost 0 10.538 * * [simplify]: Extracting # 1 : cost 0 10.539 * * [simplify]: Extracting # 2 : cost 0 10.540 * * [simplify]: iteration 1 : 472 enodes (cost 2004 ) 10.682 * * [simplify]: Extracting # 0 : cost 0 10.684 * * [simplify]: Extracting # 1 : cost 0 10.685 * * [simplify]: Extracting # 2 : cost 0 10.693 * * [simplify]: Extracting # 3 : cost 0 10.694 * * [simplify]: iteration 2 : 774 enodes (cost 1861 ) 11.071 * * [simplify]: Extracting # 0 : cost 0 11.074 * * [simplify]: Extracting # 1 : cost 0 11.076 * * [simplify]: Extracting # 2 : cost 0 11.078 * * [simplify]: Extracting # 3 : cost 0 11.080 * * [simplify]: Extracting # 4 : cost 0 11.082 * * [simplify]: iteration 3 : 1510 enodes (cost 1711 ) 12.416 * * [simplify]: Extracting # 0 : cost 0 12.419 * * [simplify]: Extracting # 1 : cost 0 12.421 * * [simplify]: Extracting # 2 : cost 0 12.423 * * [simplify]: Extracting # 3 : cost 0 12.425 * * [simplify]: Extracting # 4 : cost 0 12.427 * * [simplify]: iteration 4 : 2755 enodes (cost 1711 ) 16.001 * * [simplify]: Extracting # 0 : cost 0 16.008 * * [simplify]: Extracting # 1 : cost 0 16.013 * * [simplify]: Extracting # 2 : cost 0 16.017 * * [simplify]: Extracting # 3 : cost 0 16.022 * * [simplify]: Extracting # 4 : cost 0 16.027 * * [simplify]: iteration done: 5000 enodes (cost 1711 ) 16.028 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) -1 (/ (acos a) a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos 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 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)) -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 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))) 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)))) 1 (- (/ a (acos a))) -1 (/ a (acos 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 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)) -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 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))) 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)))) 1 (- (/ a (acos a))) -1 (/ a (acos 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 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)) -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 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))) 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)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (/ (cbrt (acos a)) (cbrt a))) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (sqrt (acos a)) (/ (sqrt (acos a)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) 1 (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 16.030 * * * [progress]: adding candidates to table 16.328 * * [progress]: iteration 4 / 4 16.328 * * * [progress]: picking best candidate 16.339 * * * * [pick]: Picked # 16.339 * * * [progress]: localizing error 16.350 * * * [progress]: generating rewritten candidates 16.350 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 16.397 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 16.462 * * * [progress]: generating series expansions 16.462 * * * * [progress]: [ 1 / 2 ] generating series at (2) 16.462 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 16.462 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 16.462 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.462 * [taylor]: Taking taylor expansion of -1 in a 16.462 * [backup-simplify]: Simplify -1 into -1 16.462 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.462 * [taylor]: Taking taylor expansion of a in a 16.462 * [backup-simplify]: Simplify 0 into 0 16.462 * [backup-simplify]: Simplify 1 into 1 16.462 * [taylor]: Taking taylor expansion of (acos a) in a 16.463 * [backup-simplify]: Simplify (acos a) into (acos a) 16.463 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.463 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.463 * [taylor]: Taking taylor expansion of -1 in a 16.463 * [backup-simplify]: Simplify -1 into -1 16.463 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.463 * [taylor]: Taking taylor expansion of a in a 16.463 * [backup-simplify]: Simplify 0 into 0 16.463 * [backup-simplify]: Simplify 1 into 1 16.463 * [taylor]: Taking taylor expansion of (acos a) in a 16.463 * [backup-simplify]: Simplify (acos a) into (acos a) 16.463 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.463 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 16.463 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.463 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.464 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.464 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 16.465 * [backup-simplify]: Simplify 0 into 0 16.466 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 16.467 * [backup-simplify]: Simplify 0 into 0 16.467 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 16.469 * [backup-simplify]: Simplify 0 into 0 16.469 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 16.471 * [backup-simplify]: Simplify 0 into 0 16.472 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.474 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 16.474 * [backup-simplify]: Simplify 0 into 0 16.474 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 16.475 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 16.475 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 16.475 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.475 * [taylor]: Taking taylor expansion of -1 in a 16.475 * [backup-simplify]: Simplify -1 into -1 16.475 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.475 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.475 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.475 * [taylor]: Taking taylor expansion of a in a 16.475 * [backup-simplify]: Simplify 0 into 0 16.475 * [backup-simplify]: Simplify 1 into 1 16.475 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.476 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.476 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.476 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.476 * [taylor]: Taking taylor expansion of -1 in a 16.476 * [backup-simplify]: Simplify -1 into -1 16.476 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.476 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.476 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.476 * [taylor]: Taking taylor expansion of a in a 16.476 * [backup-simplify]: Simplify 0 into 0 16.476 * [backup-simplify]: Simplify 1 into 1 16.476 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.477 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.477 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.477 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.478 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 16.478 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.478 * [backup-simplify]: Simplify 0 into 0 16.479 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.479 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.479 * [backup-simplify]: Simplify 0 into 0 16.480 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.481 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.481 * [backup-simplify]: Simplify 0 into 0 16.482 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.482 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.482 * [backup-simplify]: Simplify 0 into 0 16.484 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.484 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.484 * [backup-simplify]: Simplify 0 into 0 16.486 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 16.486 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.486 * [backup-simplify]: Simplify 0 into 0 16.487 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 16.487 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 16.487 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 16.487 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.487 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.487 * [taylor]: Taking taylor expansion of a in a 16.487 * [backup-simplify]: Simplify 0 into 0 16.487 * [backup-simplify]: Simplify 1 into 1 16.487 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.487 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.487 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.488 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.488 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.488 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.488 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.488 * [taylor]: Taking taylor expansion of a in a 16.488 * [backup-simplify]: Simplify 0 into 0 16.488 * [backup-simplify]: Simplify 1 into 1 16.488 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.488 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.488 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.498 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.498 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 16.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.500 * [backup-simplify]: Simplify 0 into 0 16.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 16.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.501 * [backup-simplify]: Simplify 0 into 0 16.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 16.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.503 * [backup-simplify]: Simplify 0 into 0 16.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 16.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.505 * [backup-simplify]: Simplify 0 into 0 16.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 16.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.508 * [backup-simplify]: Simplify 0 into 0 16.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 16.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.511 * [backup-simplify]: Simplify 0 into 0 16.511 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 16.511 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 16.512 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 16.512 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 16.512 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 16.512 * [taylor]: Taking taylor expansion of -1 in a 16.512 * [backup-simplify]: Simplify -1 into -1 16.512 * [taylor]: Taking taylor expansion of (acos a) in a 16.512 * [backup-simplify]: Simplify (acos a) into (acos a) 16.512 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.512 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 16.512 * [taylor]: Taking taylor expansion of -1 in a 16.512 * [backup-simplify]: Simplify -1 into -1 16.512 * [taylor]: Taking taylor expansion of (acos a) in a 16.512 * [backup-simplify]: Simplify (acos a) into (acos a) 16.512 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.512 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.512 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 16.512 * [backup-simplify]: Simplify 0 into 0 16.513 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.513 * [backup-simplify]: Simplify 0 into 0 16.513 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.513 * [backup-simplify]: Simplify 0 into 0 16.513 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.514 * [backup-simplify]: Simplify 0 into 0 16.514 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.514 * [backup-simplify]: Simplify 0 into 0 16.514 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.514 * [backup-simplify]: Simplify 0 into 0 16.515 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.515 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 16.515 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 16.515 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 16.515 * [taylor]: Taking taylor expansion of -1 in a 16.515 * [backup-simplify]: Simplify -1 into -1 16.515 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.515 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.515 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.515 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 16.515 * [taylor]: Taking taylor expansion of -1 in a 16.515 * [backup-simplify]: Simplify -1 into -1 16.515 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.515 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.515 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.515 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.515 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.515 * [backup-simplify]: Simplify 0 into 0 16.516 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.516 * [backup-simplify]: Simplify 0 into 0 16.516 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.516 * [backup-simplify]: Simplify 0 into 0 16.516 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.516 * [backup-simplify]: Simplify 0 into 0 16.517 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.517 * [backup-simplify]: Simplify 0 into 0 16.517 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.517 * [backup-simplify]: Simplify 0 into 0 16.517 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 16.517 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 16.517 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 16.517 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 16.517 * [taylor]: Taking taylor expansion of -1 in a 16.517 * [backup-simplify]: Simplify -1 into -1 16.517 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.517 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.517 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 16.517 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 16.517 * [taylor]: Taking taylor expansion of -1 in a 16.517 * [backup-simplify]: Simplify -1 into -1 16.517 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.517 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.518 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 16.518 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 16.518 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.518 * [backup-simplify]: Simplify 0 into 0 16.518 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.518 * [backup-simplify]: Simplify 0 into 0 16.518 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.518 * [backup-simplify]: Simplify 0 into 0 16.519 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.519 * [backup-simplify]: Simplify 0 into 0 16.519 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.519 * [backup-simplify]: Simplify 0 into 0 16.519 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.519 * [backup-simplify]: Simplify 0 into 0 16.520 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 16.520 * * * [progress]: simplifying candidates 16.535 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 (- (acos 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a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 1) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) 1) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) (/ 1 1) (/ 1 -1) (/ 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) (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (sqrt 1)) (/ (- (acos a)) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 16.566 * * [simplify]: Extracting # 0 : cost 0 16.568 * * [simplify]: Extracting # 1 : cost 0 16.571 * * [simplify]: Extracting # 2 : cost 0 16.574 * * [simplify]: Extracting # 3 : cost 0 16.577 * * [simplify]: Extracting # 4 : cost 0 16.579 * * [simplify]: Extracting # 5 : cost 0 16.582 * * [simplify]: Extracting # 6 : cost 0 16.590 * * [simplify]: Extracting # 7 : cost 0 16.592 * * [simplify]: iteration 0 : 811 enodes (cost 12543 ) 17.795 * * [simplify]: Extracting # 0 : cost 0 17.803 * * [simplify]: Extracting # 1 : cost 0 17.804 * * [simplify]: Extracting # 2 : cost 0 17.806 * * [simplify]: Extracting # 3 : cost 0 17.809 * * [simplify]: iteration 1 : 2350 enodes (cost 8820 ) 18.198 * * [simplify]: Extracting # 0 : cost 0 18.208 * * [simplify]: Extracting # 1 : cost 0 18.211 * * [simplify]: Extracting # 2 : cost 0 18.214 * * [simplify]: Extracting # 3 : cost 0 18.216 * * [simplify]: iteration 2 : 3262 enodes (cost 7448 ) 19.101 * * [simplify]: Extracting # 0 : cost 0 19.108 * * [simplify]: Extracting # 1 : cost 0 19.114 * * [simplify]: Extracting # 2 : cost 0 19.120 * * [simplify]: Extracting # 3 : cost 0 19.125 * * [simplify]: Extracting # 4 : cost 0 19.131 * * [simplify]: Extracting # 5 : cost 0 19.136 * * [simplify]: Extracting # 6 : cost 0 19.142 * * [simplify]: iteration done: 5000 enodes (cost 7226 ) 19.149 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) 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(/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ (* (cbrt a) (cbrt a)) (- (acos a))) (/ (sqrt a) (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (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) (/ (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) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (/ (- (cbrt (acos a))) a) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (pow (- (acos a)) 3)) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (/ 1 (pow (- (acos a)) 3)) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 19.155 * * * [progress]: adding candidates to table 19.606 * [progress]: [Phase 3 of 3] Extracting. 19.606 * * [regime]: Finding splitpoints for: (# # # # # # #) 19.607 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 19.607 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 19.647 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 19.673 * * * [regime]: Found split indices: #