4.595 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (/ a (- (acos a))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.029 * [simplify]: Simplified to: (/ a (- (acos a))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [backup-simplify]: Simplify -1 into -1 0.047 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (acos a) in a 0.048 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.048 * [taylor]: Taking taylor expansion of -1 in a 0.048 * [backup-simplify]: Simplify -1 into -1 0.048 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of (acos a) in a 0.048 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.049 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.049 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [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 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [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 0.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [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 0.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.066 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.066 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) 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 (* (acos (/ 1 a)) a) in a 0.066 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.066 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 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 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.066 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.067 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.067 * [taylor]: Taking taylor expansion of -1 in a 0.067 * [backup-simplify]: Simplify -1 into -1 0.067 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.067 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.067 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.067 * [taylor]: Taking taylor expansion of a in a 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.067 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.070 * [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 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.071 * [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 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.072 * [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 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.074 * [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 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.074 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.074 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.074 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.074 * [taylor]: Taking taylor expansion of a in a 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 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 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.075 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.075 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.075 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.075 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.076 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.076 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.081 * [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 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.083 * [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 0.083 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.085 * [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 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.085 * * * [progress]: simplifying candidates 0.086 * [simplify]: Simplifying: (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: Extracting # 1 : cost 0 0.087 * * [simplify]: Extracting # 2 : cost 0 0.087 * * [simplify]: Extracting # 3 : cost 0 0.087 * * [simplify]: Extracting # 4 : cost 0 0.088 * * [simplify]: Extracting # 5 : cost 0 0.088 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: Extracting # 3 : cost 0 0.133 * * [simplify]: iteration 1 : 164 enodes (cost 569 ) 0.175 * * [simplify]: Extracting # 0 : cost 0 0.175 * * [simplify]: Extracting # 1 : cost 0 0.178 * * [simplify]: Extracting # 2 : cost 0 0.179 * * [simplify]: Extracting # 3 : cost 0 0.179 * * [simplify]: Extracting # 4 : cost 0 0.180 * * [simplify]: iteration 2 : 334 enodes (cost 551 ) 0.284 * * [simplify]: Extracting # 0 : cost 0 0.285 * * [simplify]: Extracting # 1 : cost 0 0.286 * * [simplify]: Extracting # 2 : cost 0 0.287 * * [simplify]: Extracting # 3 : cost 0 0.289 * * [simplify]: Extracting # 4 : cost 0 0.290 * * [simplify]: iteration 3 : 587 enodes (cost 551 ) 0.677 * * [simplify]: Extracting # 0 : cost 0 0.678 * * [simplify]: Extracting # 1 : cost 0 0.683 * * [simplify]: Extracting # 2 : cost 0 0.684 * * [simplify]: Extracting # 3 : cost 0 0.685 * * [simplify]: Extracting # 4 : cost 0 0.686 * * [simplify]: iteration 4 : 1101 enodes (cost 551 ) 2.090 * * [simplify]: Extracting # 0 : cost 0 2.092 * * [simplify]: Extracting # 1 : cost 0 2.094 * * [simplify]: Extracting # 2 : cost 0 2.096 * * [simplify]: Extracting # 3 : cost 0 2.097 * * [simplify]: Extracting # 4 : cost 0 2.099 * * [simplify]: iteration 5 : 2149 enodes (cost 546 ) 5.453 * * [simplify]: Extracting # 0 : cost 0 5.459 * * [simplify]: Extracting # 1 : cost 0 5.463 * * [simplify]: Extracting # 2 : cost 0 5.467 * * [simplify]: Extracting # 3 : cost 0 5.471 * * [simplify]: Extracting # 4 : cost 0 5.475 * * [simplify]: iteration done: 5000 enodes (cost 546 ) 5.475 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (- (/ a (acos a))) (/ -1 (acos a)) (/ (acos a) (- a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ 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))) 5.476 * * * [progress]: adding candidates to table 5.590 * * [progress]: iteration 2 / 4 5.590 * * * [progress]: picking best candidate 5.614 * * * * [pick]: Picked # 5.614 * * * [progress]: localizing error 5.620 * * * [progress]: generating rewritten candidates 5.621 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.650 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 5.696 * * * [progress]: generating series expansions 5.696 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.696 * [backup-simplify]: Simplify (/ 1 (/ (acos a) (- a))) into (* -1 (/ a (acos a))) 5.696 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.696 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.696 * [taylor]: Taking taylor expansion of -1 in a 5.696 * [backup-simplify]: Simplify -1 into -1 5.696 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.696 * [taylor]: Taking taylor expansion of a in a 5.696 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [taylor]: Taking taylor expansion of (acos a) in a 5.697 * [backup-simplify]: Simplify (acos a) into (acos a) 5.697 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.697 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.697 * [taylor]: Taking taylor expansion of -1 in a 5.697 * [backup-simplify]: Simplify -1 into -1 5.697 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.697 * [taylor]: Taking taylor expansion of a in a 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [taylor]: Taking taylor expansion of (acos a) in a 5.697 * [backup-simplify]: Simplify (acos a) into (acos a) 5.697 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.697 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.697 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.698 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.700 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [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 5.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.704 * [backup-simplify]: Simplify 0 into 0 5.705 * [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 5.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.707 * [backup-simplify]: Simplify 0 into 0 5.708 * [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 5.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.709 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.710 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 a)) (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.710 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.710 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.710 * [taylor]: Taking taylor expansion of -1 in a 5.710 * [backup-simplify]: Simplify -1 into -1 5.710 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.710 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.710 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.710 * [taylor]: Taking taylor expansion of a in a 5.710 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify 1 into 1 5.710 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.710 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.710 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.710 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.710 * [taylor]: Taking taylor expansion of -1 in a 5.710 * [backup-simplify]: Simplify -1 into -1 5.710 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.710 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.711 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.711 * [taylor]: Taking taylor expansion of a in a 5.711 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify 1 into 1 5.711 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.711 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.711 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.711 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.712 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.712 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.713 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.713 * [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 5.713 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.714 * [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 5.715 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.716 * [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 5.716 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.717 * [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 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.717 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 (- a))) (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.717 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.717 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.717 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.717 * [taylor]: Taking taylor expansion of a in a 5.717 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify 1 into 1 5.717 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.717 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.717 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.718 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.718 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.718 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.718 * [taylor]: Taking taylor expansion of a in a 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.718 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.718 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.718 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.718 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.719 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.722 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.723 * [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 5.723 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.725 * [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 5.725 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.727 * [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 5.727 * [backup-simplify]: Simplify 0 into 0 5.727 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.727 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 5.727 * [backup-simplify]: Simplify (/ (acos a) (- a)) into (* -1 (/ (acos a) a)) 5.727 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 5.727 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.727 * [taylor]: Taking taylor expansion of -1 in a 5.727 * [backup-simplify]: Simplify -1 into -1 5.727 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.727 * [taylor]: Taking taylor expansion of (acos a) in a 5.728 * [backup-simplify]: Simplify (acos a) into (acos a) 5.728 * [taylor]: Taking taylor expansion of a in a 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.728 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 5.728 * [taylor]: Taking taylor expansion of -1 in a 5.728 * [backup-simplify]: Simplify -1 into -1 5.728 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.728 * [taylor]: Taking taylor expansion of (acos a) in a 5.728 * [backup-simplify]: Simplify (acos a) into (acos a) 5.728 * [taylor]: Taking taylor expansion of a in a 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.728 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 5.728 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 5.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 5.733 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 5.738 * [backup-simplify]: Simplify 0 into 0 5.740 * [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 5.742 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 5.742 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 5.743 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (- (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 5.743 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.743 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.743 * [taylor]: Taking taylor expansion of -1 in a 5.743 * [backup-simplify]: Simplify -1 into -1 5.743 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.743 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.743 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.743 * [taylor]: Taking taylor expansion of a in a 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.743 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 5.743 * [taylor]: Taking taylor expansion of -1 in a 5.743 * [backup-simplify]: Simplify -1 into -1 5.743 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.743 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.743 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.743 * [taylor]: Taking taylor expansion of a in a 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.744 * [backup-simplify]: Simplify (* -1 0) into 0 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.745 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 5.745 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 5.746 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.752 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 5.755 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 5.759 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.763 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 5.763 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (- (/ 1 (- a)))) into (* a (acos (/ -1 a))) 5.763 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 5.763 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.763 * [taylor]: Taking taylor expansion of a in a 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.764 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.764 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.764 * [taylor]: Taking taylor expansion of a in a 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 1 into 1 5.764 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.764 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.764 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.765 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.767 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.769 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 5.776 * * * [progress]: simplifying candidates 5.789 * [simplify]: Simplifying: (- 1) (- (- (log (acos a)) (log (- a)))) (- (log (/ (acos a) (- a)))) (- 0 (- (log (acos a)) (log (- a)))) (- 0 (log (/ (acos a) (- a)))) (- (log 1) (- (log (acos a)) (log (- a)))) (- (log 1) (log (/ (acos a) (- a)))) (log (/ 1 (/ (acos a) (- a)))) (exp (/ 1 (/ (acos a) (- a)))) (/ (* (* 1 1) 1) (/ (* (* (acos a) (acos a)) (acos a)) (* (* (- a) (- a)) (- a)))) (/ (* (* 1 1) 1) (* (* (/ (acos a) (- a)) (/ (acos a) (- a))) (/ (acos a) (- a)))) (* (cbrt (/ 1 (/ (acos a) (- a)))) (cbrt (/ 1 (/ (acos a) (- a))))) (cbrt (/ 1 (/ (acos a) (- a)))) (* (* (/ 1 (/ (acos a) (- a))) (/ 1 (/ (acos a) (- a)))) (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (sqrt (/ 1 (/ (acos a) (- a)))) (- 1) (- (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ (cbrt 1) (cbrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) (- a)))) (/ (cbrt 1) (sqrt (/ (acos a) (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt (- a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) (- a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (cbrt 1) (/ (cbrt (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)) (/ (* (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)) (/ (sqrt (acos a)) -1)) (/ (cbrt 1) (/ (sqrt (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)) (/ (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 -1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 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) 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(/ (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 -1)) (/ (sqrt 1) (/ (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 (* (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))) 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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 (/ (sqrt (acos a)) -1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (sqrt (acos a)) (- (* (cbrt a) (cbrt a))))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (- (sqrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (- 1))) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (- (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (- (sqrt a)))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 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)) (/ 1 (/ (acos a) a)) (/ 1 (/ 1 (- (* (cbrt a) (cbrt a))))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ 1 (- (sqrt a)))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ 1 (- 1))) (/ 1 (/ (acos a) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (- (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (acos a) (- (sqrt a)))) (/ 1 (/ 1 1)) (/ 1 (/ (acos a) (- a))) (/ 1 1) (/ 1 (/ (acos a) (- a))) (/ 1 (acos a)) (/ 1 (/ 1 (- a))) (/ 1 (/ (acos a) (- a))) (/ (/ (acos a) (- a)) 1) (/ 1 (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ 1 (sqrt (/ (acos a) (- a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (* (cbrt a) (cbrt a))))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (sqrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt 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(- 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)) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1) (/ (cbrt (acos a)) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (* (cbrt a) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- (sqrt a))) (/ (cbrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (- 1)) (/ (cbrt (acos a)) a) (/ (* (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)) (/ (sqrt (acos a)) -1) (/ (sqrt (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) (/ (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 -1) (/ (acos a) a) (/ 1 (- (* (cbrt a) (cbrt a)))) (/ (acos a) (cbrt a)) (/ 1 (- (sqrt a))) (/ (acos a) (sqrt a)) (/ 1 (- 1)) (/ (acos a) a) (/ 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) (/ (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) (/ (- a) (cbrt (acos a))) (/ (- a) (sqrt (acos a))) (/ (- a) (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 5.800 * * [simplify]: Extracting # 0 : cost 0 5.801 * * [simplify]: Extracting # 1 : cost 0 5.801 * * [simplify]: Extracting # 2 : cost 0 5.802 * * [simplify]: Extracting # 3 : cost 0 5.802 * * [simplify]: Extracting # 4 : cost 0 5.803 * * [simplify]: Extracting # 5 : cost 0 5.803 * * [simplify]: iteration 0 : 293 enodes (cost 3186 ) 6.031 * * [simplify]: Extracting # 0 : cost 0 6.033 * * [simplify]: Extracting # 1 : cost 0 6.034 * * [simplify]: Extracting # 2 : cost 0 6.035 * * [simplify]: Extracting # 3 : cost 0 6.036 * * [simplify]: iteration 1 : 611 enodes (cost 2657 ) 6.205 * * [simplify]: Extracting # 0 : cost 0 6.207 * * [simplify]: Extracting # 1 : cost 0 6.209 * * [simplify]: Extracting # 2 : cost 0 6.211 * * [simplify]: Extracting # 3 : cost 0 6.212 * * [simplify]: Extracting # 4 : cost 0 6.214 * * [simplify]: iteration 2 : 1135 enodes (cost 2356 ) 7.255 * * [simplify]: Extracting # 0 : cost 0 7.259 * * [simplify]: Extracting # 1 : cost 0 7.261 * * [simplify]: Extracting # 2 : cost 0 7.263 * * [simplify]: Extracting # 3 : cost 0 7.265 * * [simplify]: Extracting # 4 : cost 0 7.267 * * [simplify]: iteration 3 : 2752 enodes (cost 2260 ) 8.330 * * [simplify]: Extracting # 0 : cost 0 8.337 * * [simplify]: Extracting # 1 : cost 0 8.342 * * [simplify]: Extracting # 2 : cost 0 8.346 * * [simplify]: iteration done: 5000 enodes (cost 2260 ) 8.348 * [simplify]: Simplified to: -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (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))) -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))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (- (* (cbrt a) (cbrt a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (- (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (* (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))) (/ -1 (sqrt (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 (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) (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)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (cbrt a) (cbrt a)) (/ (- (cbrt a)) (acos a)) (sqrt a) (- (/ (sqrt a) (acos a))) 1 (/ (- a) (acos a)) 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))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (- (* (cbrt a) (cbrt a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (- (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (* (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))) (/ -1 (sqrt (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 (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) (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)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (cbrt a) (cbrt a)) (/ (- (cbrt a)) (acos a)) (sqrt a) (- (/ (sqrt a) (acos a))) 1 (/ (- a) (acos a)) 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))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (- (* (cbrt a) (cbrt a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (- (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (cbrt (acos a))) (/ -1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (* (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))) (/ -1 (sqrt (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 (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) (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)) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (* (cbrt a) (cbrt a)) (/ (- (cbrt a)) (acos a)) (sqrt a) (- (/ (sqrt a) (acos a))) 1 (/ (- a) (acos a)) 1 (/ (- a) (acos a)) (/ 1 (acos a)) (- a) (/ (- a) (acos a)) (- (/ (acos a) a)) (/ 1 (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ 1 (sqrt (/ (acos a) (- a)))) (/ (* (cbrt (- a)) (cbrt (- a))) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt (- a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ -1 (* (cbrt (acos a)) (cbrt (acos 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)) (* (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))) (/ -1 (sqrt (acos a))) (- (/ (* (cbrt a) (cbrt a)) (sqrt (acos a)))) (/ (- (sqrt a)) (sqrt (acos a))) (/ -1 (sqrt (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 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (acos a)) (log (/ (acos a) (- a))) (log (/ (acos a) (- a))) (exp (/ (acos a) (- a))) (pow (/ (acos a) (- a)) 3) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a)))) (cbrt (/ (acos a) (- a))) (pow (/ (acos a) (- a)) 3) (sqrt (/ (acos a) (- a))) (sqrt (/ (acos a) (- a))) (- (acos a)) a (/ PI (* a -2)) (/ (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))) (/ (cbrt (acos a)) (- a)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (acos a)) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (- (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (- (sqrt a)) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (/ (cbrt (acos a)) (/ -1 (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (cbrt (acos a)) (/ (* (cbrt a) (cbrt a)) (cbrt (acos a)))) (/ (cbrt (acos a)) (- (cbrt a))) (* (/ (cbrt (acos a)) (sqrt a)) (cbrt (acos a))) (/ (cbrt (acos a)) (- (sqrt a))) (* (cbrt (acos a)) (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)) (/ (sqrt (acos a)) -1) (/ (sqrt (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) (/ (/ (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 (/ (acos a) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (- (cbrt a))) (/ 1 (sqrt a)) (/ (acos a) (- (sqrt a))) 1 (- (/ (acos a) a)) (/ -1 a) (/ (- a) (acos a)) (/ (acos a) (* (cbrt (- a)) (cbrt (- a)))) (/ (acos a) (sqrt (- a))) (acos a) (- (acos a)) (/ (acos a) (- (* (cbrt a) (cbrt a)))) (/ (acos a) (- (sqrt a))) (- (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (- a) (cbrt (acos a))) (/ (- a) (sqrt (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 8.349 * * * [progress]: adding candidates to table 8.734 * * [progress]: iteration 3 / 4 8.735 * * * [progress]: picking best candidate 8.748 * * * * [pick]: Picked # 8.748 * * * [progress]: localizing error 8.755 * * * [progress]: generating rewritten candidates 8.755 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 8.781 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 8.825 * * * [progress]: generating series expansions 8.825 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 8.825 * [backup-simplify]: Simplify (* (acos a) (/ -1 a)) into (* -1 (/ (acos a) a)) 8.825 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 8.825 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 8.825 * [taylor]: Taking taylor expansion of -1 in a 8.825 * [backup-simplify]: Simplify -1 into -1 8.825 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 8.825 * [taylor]: Taking taylor expansion of (acos a) in a 8.825 * [backup-simplify]: Simplify (acos a) into (acos a) 8.825 * [taylor]: Taking taylor expansion of a in a 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.825 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 8.825 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 8.825 * [taylor]: Taking taylor expansion of -1 in a 8.825 * [backup-simplify]: Simplify -1 into -1 8.825 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 8.825 * [taylor]: Taking taylor expansion of (acos a) in a 8.826 * [backup-simplify]: Simplify (acos a) into (acos a) 8.826 * [taylor]: Taking taylor expansion of a in a 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 8.826 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 8.826 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 8.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 8.830 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 8.833 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 8.837 * [backup-simplify]: Simplify 0 into 0 8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 8.842 * [backup-simplify]: Simplify 0 into 0 8.844 * [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 8.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 8.845 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.845 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ -1 (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 8.845 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.845 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 8.845 * [taylor]: Taking taylor expansion of -1 in a 8.845 * [backup-simplify]: Simplify -1 into -1 8.845 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.845 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.845 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.845 * [taylor]: Taking taylor expansion of a in a 8.845 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify 1 into 1 8.845 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 8.846 * [taylor]: Taking taylor expansion of -1 in a 8.846 * [backup-simplify]: Simplify -1 into -1 8.846 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.846 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.846 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.846 * [taylor]: Taking taylor expansion of a in a 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 1 into 1 8.846 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.846 * [backup-simplify]: Simplify (* -1 0) into 0 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.847 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 8.847 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 8.847 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 8.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 8.851 * [backup-simplify]: Simplify 0 into 0 8.852 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.853 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 8.855 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.858 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ -1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 8.858 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 8.858 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.858 * [taylor]: Taking taylor expansion of a in a 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.858 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.858 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.858 * [taylor]: Taking taylor expansion of a in a 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.858 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.858 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.859 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.859 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.861 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 8.866 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.866 * [backup-simplify]: Simplify (/ 1 (* (acos a) (/ -1 a))) into (* -1 (/ a (acos a))) 8.866 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.866 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.866 * [taylor]: Taking taylor expansion of -1 in a 8.866 * [backup-simplify]: Simplify -1 into -1 8.866 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.866 * [taylor]: Taking taylor expansion of a in a 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [taylor]: Taking taylor expansion of (acos a) in a 8.866 * [backup-simplify]: Simplify (acos a) into (acos a) 8.866 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.866 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.866 * [taylor]: Taking taylor expansion of -1 in a 8.866 * [backup-simplify]: Simplify -1 into -1 8.866 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.866 * [taylor]: Taking taylor expansion of a in a 8.866 * [backup-simplify]: Simplify 0 into 0 8.866 * [backup-simplify]: Simplify 1 into 1 8.866 * [taylor]: Taking taylor expansion of (acos a) in a 8.866 * [backup-simplify]: Simplify (acos a) into (acos a) 8.866 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.866 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 8.866 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.866 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 8.867 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 8.869 * [backup-simplify]: Simplify 0 into 0 8.869 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.871 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.872 * [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 8.873 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 8.873 * [backup-simplify]: Simplify 0 into 0 8.874 * [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 8.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 8.876 * [backup-simplify]: Simplify 0 into 0 8.876 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 8.877 * [backup-simplify]: Simplify (/ 1 (* (acos (/ 1 a)) (/ -1 (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 8.877 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.877 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.877 * [taylor]: Taking taylor expansion of -1 in a 8.877 * [backup-simplify]: Simplify -1 into -1 8.877 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.877 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.877 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.877 * [taylor]: Taking taylor expansion of a in a 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.878 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.878 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.878 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.878 * [taylor]: Taking taylor expansion of -1 in a 8.878 * [backup-simplify]: Simplify -1 into -1 8.878 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.878 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.878 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.878 * [taylor]: Taking taylor expansion of a in a 8.878 * [backup-simplify]: Simplify 0 into 0 8.878 * [backup-simplify]: Simplify 1 into 1 8.878 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.879 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.879 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.879 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.880 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.880 * [backup-simplify]: Simplify 0 into 0 8.881 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.881 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.881 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.883 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.883 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.884 * [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 8.884 * [backup-simplify]: Simplify 0 into 0 8.886 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.886 * [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 8.886 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.889 * [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 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 8.889 * [backup-simplify]: Simplify (/ 1 (* (acos (/ 1 (- a))) (/ -1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 8.889 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 8.889 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.889 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.889 * [taylor]: Taking taylor expansion of a in a 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.889 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.889 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.890 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.890 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.890 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.890 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.890 * [taylor]: Taking taylor expansion of a in a 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.890 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.890 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.891 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.891 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.892 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.896 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.898 * [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 8.898 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.902 * [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 8.902 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.905 * [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 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 8.905 * * * [progress]: simplifying candidates 8.907 * [simplify]: Simplifying: (* (acos a) (/ -1 a)) (+ (log (acos a)) (- (log -1) (log a))) (+ (log (acos a)) (log (/ -1 a))) (log (* (acos a) (/ -1 a))) (exp (* (acos a) (/ -1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* -1 -1) -1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ -1 a) (/ -1 a)) (/ -1 a))) (* (cbrt (* (acos a) (/ -1 a))) (cbrt (* (acos a) (/ -1 a)))) (cbrt (* (acos a) (/ -1 a))) (* (* (* (acos a) (/ -1 a)) (* (acos a) (/ -1 a))) (* (acos a) (/ -1 a))) (sqrt (* (acos a) (/ -1 a))) (sqrt (* (acos a) (/ -1 a))) (* (sqrt (acos a)) (sqrt (/ -1 a))) (* (sqrt (acos a)) (sqrt (/ -1 a))) (* (sqrt (acos a)) (/ (sqrt -1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt -1) (sqrt a))) (* (acos a) (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (* (acos a) (sqrt (/ -1 a))) (* (acos a) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt -1) (cbrt -1)) (sqrt a))) (* (acos a) (/ (* (cbrt -1) (cbrt -1)) 1)) (* (acos a) (/ (sqrt -1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt -1) (sqrt a))) (* (acos a) (/ (sqrt -1) 1)) (* (acos a) (/ 1 (* (cbrt a) (cbrt a)))) (* (acos a) (/ 1 (sqrt a))) (* (acos a) (/ 1 1)) (* (acos a) 1) (* (acos a) -1) (* (cbrt (acos a)) (/ -1 a)) (* (sqrt (acos a)) (/ -1 a)) (* (acos a) (/ -1 a)) (* (acos a) -1) (- 1) (- 1) (- (+ (log (acos a)) (- (log -1) (log a)))) (- (+ (log (acos a)) (log (/ -1 a)))) (- (log (* (acos a) (/ -1 a)))) (- 0 (+ (log (acos a)) (- (log -1) (log a)))) (- 0 (+ (log (acos a)) (log (/ -1 a)))) (- 0 (log (* (acos a) (/ -1 a)))) (- (log 1) (+ (log (acos a)) (- (log -1) (log a)))) (- (log 1) (+ (log (acos a)) (log (/ -1 a)))) (- (log 1) (log (* (acos a) (/ -1 a)))) (log (/ 1 (* (acos a) (/ -1 a)))) (exp (/ 1 (* (acos a) (/ -1 a)))) (/ (* (* 1 1) 1) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* -1 -1) -1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ -1 a) (/ -1 a)) (/ -1 a)))) (/ (* (* 1 1) 1) (* (* (* (acos a) (/ -1 a)) (* (acos a) (/ -1 a))) (* (acos a) (/ -1 a)))) (* (cbrt (/ 1 (* (acos a) (/ -1 a)))) (cbrt (/ 1 (* (acos a) (/ -1 a))))) (cbrt (/ 1 (* (acos a) (/ -1 a)))) (* (* (/ 1 (* (acos a) (/ -1 a))) (/ 1 (* (acos a) (/ -1 a)))) (/ 1 (* (acos a) (/ -1 a)))) (sqrt (/ 1 (* (acos a) (/ -1 a)))) (sqrt (/ 1 (* (acos a) (/ -1 a)))) (- 1) (- (* (acos a) (/ -1 a))) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (/ -1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (/ -1 a)) (/ 1 (acos a)) (/ 1 (/ -1 a)) (/ 1 (* (acos a) (/ -1 a))) (/ (* (acos a) (/ -1 a)) 1) (/ 1 (acos a)) (/ (* (acos a) (/ -1 a)) (cbrt 1)) (/ (* (acos a) (/ -1 a)) (sqrt 1)) (/ (* (acos a) (/ -1 a)) 1) (/ 1 (* (acos a) -1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 8.909 * * [simplify]: Extracting # 0 : cost 0 8.910 * * [simplify]: Extracting # 1 : cost 0 8.910 * * [simplify]: Extracting # 2 : cost 0 8.910 * * [simplify]: Extracting # 3 : cost 0 8.910 * * [simplify]: Extracting # 4 : cost 0 8.911 * * [simplify]: Extracting # 5 : cost 0 8.911 * * [simplify]: Extracting # 6 : cost 0 8.911 * * [simplify]: Extracting # 7 : cost 0 8.912 * * [simplify]: iteration 0 : 111 enodes (cost 695 ) 8.980 * * [simplify]: Extracting # 0 : cost 0 8.980 * * [simplify]: Extracting # 1 : cost 0 8.981 * * [simplify]: Extracting # 2 : cost 0 8.981 * * [simplify]: Extracting # 3 : cost 0 8.981 * * [simplify]: iteration 1 : 259 enodes (cost 569 ) 9.123 * * [simplify]: Extracting # 0 : cost 0 9.125 * * [simplify]: Extracting # 1 : cost 0 9.127 * * [simplify]: Extracting # 2 : cost 0 9.129 * * [simplify]: Extracting # 3 : cost 0 9.131 * * [simplify]: Extracting # 4 : cost 0 9.133 * * [simplify]: Extracting # 5 : cost 0 9.134 * * [simplify]: Extracting # 6 : cost 0 9.136 * * [simplify]: iteration 2 : 859 enodes (cost 446 ) 12.197 * * [simplify]: Extracting # 0 : cost 0 12.206 * * [simplify]: Extracting # 1 : cost 0 12.212 * * [simplify]: Extracting # 2 : cost 0 12.224 * * [simplify]: Extracting # 3 : cost 0 12.230 * * [simplify]: Extracting # 4 : cost 0 12.236 * * [simplify]: iteration 3 : 4033 enodes (cost 444 ) 14.316 * * [simplify]: Extracting # 0 : cost 0 14.333 * * [simplify]: Extracting # 1 : cost 0 14.341 * * [simplify]: Extracting # 2 : cost 0 14.347 * * [simplify]: iteration done: 5000 enodes (cost 444 ) 14.348 * [simplify]: Simplified to: (- (/ (acos a) a)) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (- (/ (acos a) a))) (pow (- (/ (acos a) a)) 3) (pow (- (/ (acos a) a)) 3) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (pow (- (/ (acos a) a)) 3) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (* (sqrt (acos a)) (sqrt (/ -1 a))) (* (sqrt (acos a)) (sqrt (/ -1 a))) (* (sqrt (acos a)) (/ (sqrt -1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt -1) (sqrt a))) (* (acos a) (* (cbrt (/ -1 a)) (cbrt (/ -1 a)))) (* (acos a) (sqrt (/ -1 a))) (* (acos a) (/ (* (cbrt -1) (cbrt -1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt -1) (cbrt -1)) (sqrt a))) (* (acos a) (* (cbrt -1) (cbrt -1))) (* (acos a) (/ (sqrt -1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt -1) (sqrt a))) (* (acos a) (sqrt -1)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (- (acos a)) (/ (cbrt (acos a)) (- a)) (/ (sqrt (acos a)) (- a)) (- (/ (acos a) a)) (- (acos a)) -1 -1 (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (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)))) -1 (/ (acos a) a) (/ 1 (acos a)) (- a) (/ 1 (acos a)) (- a) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ -1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 14.348 * * * [progress]: adding candidates to table 14.488 * * [progress]: iteration 4 / 4 14.488 * * * [progress]: picking best candidate 14.500 * * * * [pick]: Picked # 14.500 * * * [progress]: localizing error 14.515 * * * [progress]: generating rewritten candidates 14.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 14.628 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 14.633 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 14.639 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 14.660 * * * [progress]: generating series expansions 14.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)