90.163 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying: (/ a (- (acos a))) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: Extracting # 2 : cost 0 0.028 * * [simplify]: Extracting # 3 : cost 0 0.028 * * [simplify]: Extracting # 4 : cost 0 0.028 * * [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))) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [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 0.049 * [backup-simplify]: Simplify (acos a) into (acos a) 0.049 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.049 * [taylor]: Taking taylor expansion of -1 in a 0.049 * [backup-simplify]: Simplify -1 into -1 0.049 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [taylor]: Taking taylor expansion of (acos a) in a 0.049 * [backup-simplify]: Simplify (acos a) into (acos a) 0.049 * [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)) 0.050 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 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))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 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))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [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 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [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 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [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 0.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.061 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.062 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.062 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.062 * [taylor]: Taking taylor expansion of -1 in a 0.062 * [backup-simplify]: Simplify -1 into -1 0.062 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.062 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.062 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.062 * [taylor]: Taking taylor expansion of a in a 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 1 into 1 0.062 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.062 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.063 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.063 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.063 * [taylor]: Taking taylor expansion of -1 in a 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.063 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.063 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.063 * [taylor]: Taking taylor expansion of a in a 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.064 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.064 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.064 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.065 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 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)))) (* 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 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 0.073 * [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 0.073 * [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 0.075 * [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 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.076 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.076 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.076 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.076 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.076 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.077 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.077 * [taylor]: Taking taylor expansion of a in a 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.077 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.078 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.078 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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)))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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)))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.086 * [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 0.086 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.089 * [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 0.089 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.092 * * * [progress]: simplifying candidates 0.094 * [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))) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: Extracting # 3 : cost 0 0.097 * * [simplify]: Extracting # 4 : cost 0 0.098 * * [simplify]: Extracting # 5 : cost 0 0.098 * * [simplify]: iteration 0 : 94 enodes (cost 601 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 0.153 * * [simplify]: Extracting # 1 : cost 0 0.153 * * [simplify]: Extracting # 2 : cost 0 0.154 * * [simplify]: Extracting # 3 : cost 0 0.154 * * [simplify]: iteration 1 : 164 enodes (cost 569 ) 0.213 * * [simplify]: Extracting # 0 : cost 0 0.214 * * [simplify]: Extracting # 1 : cost 0 0.214 * * [simplify]: Extracting # 2 : cost 0 0.215 * * [simplify]: Extracting # 3 : cost 0 0.215 * * [simplify]: Extracting # 4 : cost 0 0.216 * * [simplify]: iteration 2 : 334 enodes (cost 551 ) 0.355 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.357 * * [simplify]: Extracting # 2 : cost 0 0.357 * * [simplify]: Extracting # 3 : cost 0 0.358 * * [simplify]: Extracting # 4 : cost 0 0.358 * * [simplify]: iteration 3 : 587 enodes (cost 551 ) 0.747 * * [simplify]: Extracting # 0 : cost 0 0.750 * * [simplify]: Extracting # 1 : cost 0 0.752 * * [simplify]: Extracting # 2 : cost 0 0.753 * * [simplify]: Extracting # 3 : cost 0 0.755 * * [simplify]: Extracting # 4 : cost 0 0.756 * * [simplify]: iteration 4 : 1101 enodes (cost 551 ) 1.943 * * [simplify]: Extracting # 0 : cost 0 1.955 * * [simplify]: Extracting # 1 : cost 0 1.958 * * [simplify]: Extracting # 2 : cost 0 1.961 * * [simplify]: Extracting # 3 : cost 0 1.964 * * [simplify]: Extracting # 4 : cost 0 1.967 * * [simplify]: iteration 5 : 2149 enodes (cost 546 ) 4.738 * * [simplify]: Extracting # 0 : cost 0 4.744 * * [simplify]: Extracting # 1 : cost 0 4.752 * * [simplify]: Extracting # 2 : cost 0 4.756 * * [simplify]: Extracting # 3 : cost 0 4.760 * * [simplify]: Extracting # 4 : cost 0 4.764 * * [simplify]: iteration done: 5000 enodes (cost 546 ) 4.764 * [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))) 4.765 * * * [progress]: adding candidates to table 4.903 * * [progress]: iteration 2 / 4 4.903 * * * [progress]: picking best candidate 4.926 * * * * [pick]: Picked # 4.927 * * * [progress]: localizing error 4.937 * * * [progress]: generating rewritten candidates 4.937 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.963 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 4.976 * * * [progress]: generating series expansions 4.976 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.977 * [backup-simplify]: Simplify (* a (/ -1 (acos a))) into (* -1 (/ a (acos a))) 4.977 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.977 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.977 * [taylor]: Taking taylor expansion of -1 in a 4.977 * [backup-simplify]: Simplify -1 into -1 4.977 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.977 * [taylor]: Taking taylor expansion of a in a 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [taylor]: Taking taylor expansion of (acos a) in a 4.977 * [backup-simplify]: Simplify (acos a) into (acos a) 4.977 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.977 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.977 * [taylor]: Taking taylor expansion of -1 in a 4.977 * [backup-simplify]: Simplify -1 into -1 4.977 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.977 * [taylor]: Taking taylor expansion of a in a 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [taylor]: Taking taylor expansion of (acos a) in a 4.977 * [backup-simplify]: Simplify (acos a) into (acos a) 4.978 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.978 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.978 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.978 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.980 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.980 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.981 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.984 * [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 4.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.985 * [backup-simplify]: Simplify 0 into 0 4.986 * [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 4.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [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 4.991 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.991 * [backup-simplify]: Simplify (* (/ 1 a) (/ -1 (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 4.991 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 4.991 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.991 * [taylor]: Taking taylor expansion of -1 in a 4.991 * [backup-simplify]: Simplify -1 into -1 4.991 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.991 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.991 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.991 * [taylor]: Taking taylor expansion of a in a 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.992 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.992 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.992 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.992 * [taylor]: Taking taylor expansion of -1 in a 4.992 * [backup-simplify]: Simplify -1 into -1 4.992 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.992 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.993 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.993 * [taylor]: Taking taylor expansion of a in a 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.993 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.993 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.994 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.994 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 4.995 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.996 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.996 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.998 * [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 4.998 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.999 * [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 5.000 * [backup-simplify]: Simplify 0 into 0 5.001 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.002 * [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 5.002 * [backup-simplify]: Simplify 0 into 0 5.003 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.004 * [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 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.005 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ -1 (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.005 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.005 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.005 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.005 * [taylor]: Taking taylor expansion of a in a 5.005 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify 1 into 1 5.005 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.005 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.005 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.006 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.006 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.006 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.006 * [taylor]: Taking taylor expansion of a in a 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 1 into 1 5.006 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.006 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.006 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.007 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.007 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.008 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.012 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.014 * [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 5.014 * [backup-simplify]: Simplify 0 into 0 5.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.017 * [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 5.017 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.020 * [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 5.020 * [backup-simplify]: Simplify 0 into 0 5.021 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.021 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 5.021 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.021 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 5.021 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.021 * [taylor]: Taking taylor expansion of -1 in a 5.021 * [backup-simplify]: Simplify -1 into -1 5.021 * [taylor]: Taking taylor expansion of (acos a) in a 5.021 * [backup-simplify]: Simplify (acos a) into (acos a) 5.021 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.021 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.021 * [taylor]: Taking taylor expansion of -1 in a 5.021 * [backup-simplify]: Simplify -1 into -1 5.021 * [taylor]: Taking taylor expansion of (acos a) in a 5.021 * [backup-simplify]: Simplify (acos a) into (acos a) 5.021 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.022 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.022 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [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 5.023 * [backup-simplify]: Simplify 0 into 0 5.024 * [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 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [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 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.025 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.025 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 5.025 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.025 * [taylor]: Taking taylor expansion of -1 in a 5.025 * [backup-simplify]: Simplify -1 into -1 5.025 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.025 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.025 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.025 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.025 * [taylor]: Taking taylor expansion of -1 in a 5.025 * [backup-simplify]: Simplify -1 into -1 5.025 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.025 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.025 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.026 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.026 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.027 * [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 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [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 5.027 * [backup-simplify]: Simplify 0 into 0 5.028 * [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 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [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 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 5.028 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (- a)))) into (/ -1 (acos (/ -1 a))) 5.028 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 5.028 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.028 * [taylor]: Taking taylor expansion of -1 in a 5.028 * [backup-simplify]: Simplify -1 into -1 5.028 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.028 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.028 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.028 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.028 * [taylor]: Taking taylor expansion of -1 in a 5.028 * [backup-simplify]: Simplify -1 into -1 5.028 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.029 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.029 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.029 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.029 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [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 5.029 * [backup-simplify]: Simplify 0 into 0 5.030 * [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 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [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 5.030 * [backup-simplify]: Simplify 0 into 0 5.031 * [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 5.031 * [backup-simplify]: Simplify 0 into 0 5.031 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 5.031 * * * [progress]: simplifying candidates 5.032 * [simplify]: Simplifying: (* 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) (- (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)) 5.033 * * [simplify]: Extracting # 0 : cost 0 5.033 * * [simplify]: Extracting # 1 : cost 0 5.033 * * [simplify]: Extracting # 2 : cost 0 5.033 * * [simplify]: Extracting # 3 : cost 0 5.033 * * [simplify]: Extracting # 4 : cost 0 5.033 * * [simplify]: Extracting # 5 : cost 0 5.033 * * [simplify]: Extracting # 6 : cost 0 5.033 * * [simplify]: iteration 0 : 86 enodes (cost 558 ) 5.062 * * [simplify]: Extracting # 0 : cost 0 5.062 * * [simplify]: Extracting # 1 : cost 0 5.062 * * [simplify]: Extracting # 2 : cost 0 5.062 * * [simplify]: Extracting # 3 : cost 0 5.062 * * [simplify]: iteration 1 : 180 enodes (cost 510 ) 5.152 * * [simplify]: Extracting # 0 : cost 0 5.152 * * [simplify]: Extracting # 1 : cost 0 5.156 * * [simplify]: Extracting # 2 : cost 0 5.157 * * [simplify]: Extracting # 3 : cost 0 5.157 * * [simplify]: Extracting # 4 : cost 0 5.158 * * [simplify]: Extracting # 5 : cost 0 5.158 * * [simplify]: iteration 2 : 502 enodes (cost 460 ) 5.635 * * [simplify]: Extracting # 0 : cost 0 5.636 * * [simplify]: Extracting # 1 : cost 0 5.638 * * [simplify]: Extracting # 2 : cost 0 5.639 * * [simplify]: Extracting # 3 : cost 0 5.640 * * [simplify]: Extracting # 4 : cost 0 5.641 * * [simplify]: iteration 3 : 1348 enodes (cost 458 ) 9.782 * * [simplify]: Extracting # 0 : cost 0 9.786 * * [simplify]: Extracting # 1 : cost 0 9.788 * * [simplify]: Extracting # 2 : cost 0 9.791 * * [simplify]: Extracting # 3 : cost 0 9.793 * * [simplify]: Extracting # 4 : cost 0 9.795 * * [simplify]: iteration 4 : 3468 enodes (cost 458 ) 13.003 * * [simplify]: Extracting # 0 : cost 0 13.008 * * [simplify]: Extracting # 1 : cost 0 13.013 * * [simplify]: Extracting # 2 : cost 0 13.021 * * [simplify]: iteration done: 5001 enodes (cost 458 ) 13.022 * [simplify]: Simplified to: (- (/ 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)))) (* a (sqrt -1)) (/ 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) (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)) 13.023 * * * [progress]: adding candidates to table 13.192 * * [progress]: iteration 3 / 4 13.192 * * * [progress]: picking best candidate 13.206 * * * * [pick]: Picked # 13.206 * * * [progress]: localizing error 13.220 * * * [progress]: generating rewritten candidates 13.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 13.240 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 13.264 * * * [progress]: generating series expansions 13.264 * * * * [progress]: [ 1 / 2 ] generating series at (2) 13.264 * [backup-simplify]: Simplify (/ 1 (/ (acos a) (- a))) into (* -1 (/ a (acos a))) 13.264 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 13.264 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.264 * [taylor]: Taking taylor expansion of -1 in a 13.264 * [backup-simplify]: Simplify -1 into -1 13.264 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.264 * [taylor]: Taking taylor expansion of a in a 13.264 * [backup-simplify]: Simplify 0 into 0 13.264 * [backup-simplify]: Simplify 1 into 1 13.264 * [taylor]: Taking taylor expansion of (acos a) in a 13.264 * [backup-simplify]: Simplify (acos a) into (acos a) 13.264 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.264 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 13.264 * [taylor]: Taking taylor expansion of -1 in a 13.264 * [backup-simplify]: Simplify -1 into -1 13.264 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 13.265 * [taylor]: Taking taylor expansion of a in a 13.265 * [backup-simplify]: Simplify 0 into 0 13.265 * [backup-simplify]: Simplify 1 into 1 13.265 * [taylor]: Taking taylor expansion of (acos a) in a 13.265 * [backup-simplify]: Simplify (acos a) into (acos a) 13.265 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 13.265 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 13.265 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 13.265 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 13.266 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.266 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.266 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 13.268 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [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 13.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [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 13.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 13.270 * [backup-simplify]: Simplify 0 into 0 13.271 * [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 13.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 13.272 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 a)) (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 13.272 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.272 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.272 * [taylor]: Taking taylor expansion of -1 in a 13.272 * [backup-simplify]: Simplify -1 into -1 13.272 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.272 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.273 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.273 * [taylor]: Taking taylor expansion of a in a 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.273 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.273 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.273 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 13.273 * [taylor]: Taking taylor expansion of -1 in a 13.273 * [backup-simplify]: Simplify -1 into -1 13.273 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.273 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.273 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.273 * [taylor]: Taking taylor expansion of a in a 13.273 * [backup-simplify]: Simplify 0 into 0 13.273 * [backup-simplify]: Simplify 1 into 1 13.273 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.274 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.274 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.274 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 13.274 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.274 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 13.274 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.275 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 13.275 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.276 * [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 13.276 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.277 * [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 13.277 * [backup-simplify]: Simplify 0 into 0 13.278 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.278 * [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 13.278 * [backup-simplify]: Simplify 0 into 0 13.279 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.280 * [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 13.280 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 13.280 * [backup-simplify]: Simplify (/ 1 (/ (acos (/ 1 (- a))) (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 13.280 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 13.280 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.280 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.280 * [taylor]: Taking taylor expansion of a in a 13.280 * [backup-simplify]: Simplify 0 into 0 13.280 * [backup-simplify]: Simplify 1 into 1 13.280 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.280 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.280 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.281 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.281 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 13.281 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.281 * [taylor]: Taking taylor expansion of a in a 13.281 * [backup-simplify]: Simplify 0 into 0 13.281 * [backup-simplify]: Simplify 1 into 1 13.281 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.281 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.281 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.281 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.281 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 13.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 13.282 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.283 * [backup-simplify]: Simplify 0 into 0 13.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 13.284 * [backup-simplify]: Simplify 0 into 0 13.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.286 * [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 13.286 * [backup-simplify]: Simplify 0 into 0 13.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.288 * [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 13.288 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.290 * [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 13.290 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 13.290 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 13.290 * [backup-simplify]: Simplify (/ (acos a) (- a)) into (* -1 (/ (acos a) a)) 13.290 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 13.290 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.290 * [taylor]: Taking taylor expansion of -1 in a 13.290 * [backup-simplify]: Simplify -1 into -1 13.290 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.290 * [taylor]: Taking taylor expansion of (acos a) in a 13.290 * [backup-simplify]: Simplify (acos a) into (acos a) 13.290 * [taylor]: Taking taylor expansion of a in a 13.290 * [backup-simplify]: Simplify 0 into 0 13.290 * [backup-simplify]: Simplify 1 into 1 13.290 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.290 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 13.290 * [taylor]: Taking taylor expansion of -1 in a 13.290 * [backup-simplify]: Simplify -1 into -1 13.290 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 13.290 * [taylor]: Taking taylor expansion of (acos a) in a 13.291 * [backup-simplify]: Simplify (acos a) into (acos a) 13.291 * [taylor]: Taking taylor expansion of a in a 13.291 * [backup-simplify]: Simplify 0 into 0 13.291 * [backup-simplify]: Simplify 1 into 1 13.291 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 13.291 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.291 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 13.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 13.292 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 13.292 * [backup-simplify]: Simplify 0 into 0 13.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 13.293 * [backup-simplify]: Simplify 0 into 0 13.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 13.295 * [backup-simplify]: Simplify 0 into 0 13.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.297 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 13.298 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 13.301 * [backup-simplify]: Simplify 0 into 0 13.303 * [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 13.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.304 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (- (/ 1 a))) into (* -1 (* (acos (/ 1 a)) a)) 13.304 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 13.304 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.304 * [taylor]: Taking taylor expansion of -1 in a 13.304 * [backup-simplify]: Simplify -1 into -1 13.304 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.304 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.305 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.305 * [taylor]: Taking taylor expansion of a in a 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify 1 into 1 13.305 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 13.305 * [taylor]: Taking taylor expansion of -1 in a 13.305 * [backup-simplify]: Simplify -1 into -1 13.305 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 13.305 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 13.305 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 13.305 * [taylor]: Taking taylor expansion of a in a 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify 1 into 1 13.305 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 13.305 * [backup-simplify]: Simplify (* -1 0) into 0 13.305 * [backup-simplify]: Simplify 0 into 0 13.305 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 13.306 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 13.306 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 13.306 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 13.307 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 13.308 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 13.310 * [backup-simplify]: Simplify 0 into 0 13.311 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 13.312 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 13.312 * [backup-simplify]: Simplify 0 into 0 13.312 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 13.314 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 13.314 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 13.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 13.318 * [backup-simplify]: Simplify 0 into 0 13.318 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 13.318 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (- (/ 1 (- a)))) into (* a (acos (/ -1 a))) 13.318 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 13.318 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.318 * [taylor]: Taking taylor expansion of a in a 13.319 * [backup-simplify]: Simplify 0 into 0 13.319 * [backup-simplify]: Simplify 1 into 1 13.319 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.319 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.319 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 13.319 * [taylor]: Taking taylor expansion of a in a 13.319 * [backup-simplify]: Simplify 0 into 0 13.319 * [backup-simplify]: Simplify 1 into 1 13.319 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 13.319 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.319 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 13.319 * [backup-simplify]: Simplify 0 into 0 13.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 13.319 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 13.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 13.320 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 13.321 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 13.322 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 13.325 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 13.327 * * * [progress]: simplifying candidates 13.330 * [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) (/ (acos a) (- a))) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (/ 1 (- a))) (/ (sqrt 1) (* (cbrt (/ (acos a) (- a))) (cbrt (/ (acos a) (- a))))) (/ (sqrt 1) (cbrt (/ (acos a) (- a)))) (/ (sqrt 1) (sqrt (/ (acos a) (- a)))) (/ (sqrt 1) (sqrt (/ (acos a) (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt (- a)) (cbrt (- a))))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt (- a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt (- a)))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) (- a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ (sqrt 1) (/ (cbrt (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) (/ (* (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) (/ (sqrt (acos a)) -1)) (/ (sqrt 1) (/ (sqrt (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) (/ (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 -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))) (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 (/ (* (cbrt (acos a)) (cbrt (acos a))) -1)) (/ 1 (/ (cbrt (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 (/ (* (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 (/ (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 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(acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 13.340 * * [simplify]: Extracting # 0 : cost 0 13.340 * * [simplify]: Extracting # 1 : cost 0 13.341 * * [simplify]: Extracting # 2 : cost 0 13.341 * * [simplify]: Extracting # 3 : cost 0 13.342 * * [simplify]: Extracting # 4 : cost 0 13.342 * * [simplify]: Extracting # 5 : cost 0 13.343 * * [simplify]: iteration 0 : 293 enodes (cost 3186 ) 13.548 * * [simplify]: Extracting # 0 : cost 0 13.549 * * [simplify]: Extracting # 1 : cost 0 13.550 * * [simplify]: Extracting # 2 : cost 0 13.550 * * [simplify]: Extracting # 3 : cost 0 13.551 * * [simplify]: iteration 1 : 611 enodes (cost 2657 ) 13.697 * * [simplify]: Extracting # 0 : cost 0 13.700 * * [simplify]: Extracting # 1 : cost 0 13.701 * * [simplify]: Extracting # 2 : cost 0 13.703 * * [simplify]: Extracting # 3 : cost 0 13.705 * * [simplify]: Extracting # 4 : cost 0 13.706 * * [simplify]: iteration 2 : 1135 enodes (cost 2356 ) 14.609 * * [simplify]: Extracting # 0 : cost 0 14.612 * * [simplify]: Extracting # 1 : cost 0 14.614 * * [simplify]: Extracting # 2 : cost 0 14.616 * * [simplify]: Extracting # 3 : cost 0 14.618 * * [simplify]: Extracting # 4 : cost 0 14.621 * * [simplify]: iteration 3 : 2752 enodes (cost 2260 ) 15.748 * * [simplify]: Extracting # 0 : cost 0 15.754 * * [simplify]: Extracting # 1 : cost 0 15.758 * * [simplify]: Extracting # 2 : cost 0 15.763 * * [simplify]: iteration done: 5000 enodes (cost 2260 ) 15.764 * [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 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(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)) 15.766 * * * [progress]: adding candidates to table 16.115 * * [progress]: iteration 4 / 4 16.115 * * * [progress]: picking best candidate 16.125 * * * * [pick]: Picked # 16.126 * * * [progress]: localizing error 16.140 * * * [progress]: generating rewritten candidates 16.140 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 16.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 16.236 * * * [progress]: generating series expansions 16.236 * * * * [progress]: [ 1 / 2 ] generating series at (2) 16.236 * [backup-simplify]: Simplify (/ (/ 1 (acos a)) (/ 1 (- a))) into (* -1 (/ a (acos a))) 16.236 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 16.236 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.236 * [taylor]: Taking taylor expansion of -1 in a 16.236 * [backup-simplify]: Simplify -1 into -1 16.236 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.236 * [taylor]: Taking taylor expansion of a in a 16.236 * [backup-simplify]: Simplify 0 into 0 16.236 * [backup-simplify]: Simplify 1 into 1 16.236 * [taylor]: Taking taylor expansion of (acos a) in a 16.237 * [backup-simplify]: Simplify (acos a) into (acos a) 16.237 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.237 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 16.237 * [taylor]: Taking taylor expansion of -1 in a 16.237 * [backup-simplify]: Simplify -1 into -1 16.237 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 16.237 * [taylor]: Taking taylor expansion of a in a 16.237 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify 1 into 1 16.237 * [taylor]: Taking taylor expansion of (acos a) in a 16.237 * [backup-simplify]: Simplify (acos a) into (acos a) 16.237 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.237 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 16.237 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 16.237 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.238 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 16.238 * [backup-simplify]: Simplify 0 into 0 16.238 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 16.239 * [backup-simplify]: Simplify 0 into 0 16.239 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 16.240 * [backup-simplify]: Simplify 0 into 0 16.240 * [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 16.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 16.242 * [backup-simplify]: Simplify 0 into 0 16.242 * [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 16.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 16.244 * [backup-simplify]: Simplify 0 into 0 16.244 * [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 16.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 16.247 * [backup-simplify]: Simplify 0 into 0 16.247 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 16.247 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 a))) (/ 1 (- (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 16.247 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 16.247 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.247 * [taylor]: Taking taylor expansion of -1 in a 16.247 * [backup-simplify]: Simplify -1 into -1 16.247 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.247 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.247 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.247 * [taylor]: Taking taylor expansion of a in a 16.248 * [backup-simplify]: Simplify 0 into 0 16.248 * [backup-simplify]: Simplify 1 into 1 16.248 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.248 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.248 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.248 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 16.248 * [taylor]: Taking taylor expansion of -1 in a 16.248 * [backup-simplify]: Simplify -1 into -1 16.248 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 16.248 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.249 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.249 * [taylor]: Taking taylor expansion of a in a 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.249 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 16.249 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 16.249 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.250 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 16.250 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 16.251 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.251 * [backup-simplify]: Simplify 0 into 0 16.252 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 16.252 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.252 * [backup-simplify]: Simplify 0 into 0 16.253 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 16.254 * [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 16.254 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 16.256 * [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 16.256 * [backup-simplify]: Simplify 0 into 0 16.257 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 16.258 * [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 16.258 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 16.259 * [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 16.260 * [backup-simplify]: Simplify 0 into 0 16.260 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 16.260 * [backup-simplify]: Simplify (/ (/ 1 (acos (/ 1 (- a)))) (/ 1 (- (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 16.260 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 16.260 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.260 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.260 * [taylor]: Taking taylor expansion of a in a 16.260 * [backup-simplify]: Simplify 0 into 0 16.260 * [backup-simplify]: Simplify 1 into 1 16.260 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.260 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.260 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.261 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.261 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 16.261 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 16.261 * [taylor]: Taking taylor expansion of a in a 16.261 * [backup-simplify]: Simplify 0 into 0 16.261 * [backup-simplify]: Simplify 1 into 1 16.261 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.261 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.261 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 16.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 16.261 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.261 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 16.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.262 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 16.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.263 * [backup-simplify]: Simplify 0 into 0 16.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 16.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.264 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 16.266 * [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 16.266 * [backup-simplify]: Simplify 0 into 0 16.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 16.268 * [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 16.268 * [backup-simplify]: Simplify 0 into 0 16.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 16.270 * [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 16.270 * [backup-simplify]: Simplify 0 into 0 16.270 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 16.270 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 16.270 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.270 * [approximate]: Taking taylor expansion of (/ 1 (acos a)) in (a) around 0 16.270 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.270 * [taylor]: Taking taylor expansion of (acos a) in a 16.270 * [backup-simplify]: Simplify (acos a) into (acos a) 16.270 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.270 * [taylor]: Taking taylor expansion of (/ 1 (acos a)) in a 16.270 * [taylor]: Taking taylor expansion of (acos a) in a 16.270 * [backup-simplify]: Simplify (acos a) into (acos a) 16.270 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.270 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 16.270 * [backup-simplify]: Simplify 0 into 0 16.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.271 * [backup-simplify]: Simplify 0 into 0 16.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.271 * [backup-simplify]: Simplify 0 into 0 16.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.271 * [backup-simplify]: Simplify 0 into 0 16.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.271 * [backup-simplify]: Simplify 0 into 0 16.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 16.272 * [backup-simplify]: Simplify 0 into 0 16.272 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 16.272 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.272 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in (a) around 0 16.272 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.272 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.272 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.272 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.272 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ 1 a))) in a 16.272 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 16.272 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 16.272 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.272 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 a))) into (/ 1 (acos (/ 1 a))) 16.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 16.272 * [backup-simplify]: Simplify 0 into 0 16.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.273 * [backup-simplify]: Simplify 0 into 0 16.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 16.273 * [backup-simplify]: Simplify 0 into 0 16.273 * [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 16.273 * [backup-simplify]: Simplify 0 into 0 16.273 * [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 16.273 * [backup-simplify]: Simplify 0 into 0 16.274 * [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 16.274 * [backup-simplify]: Simplify 0 into 0 16.274 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (/ 1 a)))) into (/ 1 (acos a)) 16.274 * [backup-simplify]: Simplify (/ 1 (acos (/ 1 (- a)))) into (/ 1 (acos (/ -1 a))) 16.274 * [approximate]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in (a) around 0 16.274 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.274 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.274 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.274 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.274 * [taylor]: Taking taylor expansion of (/ 1 (acos (/ -1 a))) in a 16.274 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 16.274 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 16.274 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.274 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 16.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 16.275 * [backup-simplify]: Simplify 0 into 0 16.275 * [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 16.275 * [backup-simplify]: Simplify 0 into 0 16.276 * [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 16.276 * [backup-simplify]: Simplify 0 into 0 16.276 * [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 16.276 * [backup-simplify]: Simplify 0 into 0 16.276 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 (/ 1 (- a))))) into (/ 1 (acos a)) 16.276 * * * [progress]: simplifying candidates 16.297 * [simplify]: Simplifying: (- (- (log (acos a))) (- (log (- a)))) (- (- (log (acos a))) (- 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cost 0 16.329 * * [simplify]: Extracting # 4 : cost 0 16.331 * * [simplify]: Extracting # 5 : cost 0 16.332 * * [simplify]: Extracting # 6 : cost 0 16.335 * * [simplify]: iteration 0 : 805 enodes (cost 12210 ) 17.403 * * [simplify]: Extracting # 0 : cost 0 17.412 * * [simplify]: Extracting # 1 : cost 0 17.414 * * [simplify]: Extracting # 2 : cost 0 17.416 * * [simplify]: Extracting # 3 : cost 0 17.420 * * [simplify]: iteration 1 : 2273 enodes (cost 8248 ) 17.780 * * [simplify]: Extracting # 0 : cost 0 17.782 * * [simplify]: Extracting # 1 : cost 0 17.785 * * [simplify]: Extracting # 2 : cost 0 17.787 * * [simplify]: Extracting # 3 : cost 0 17.789 * * [simplify]: iteration 2 : 3256 enodes (cost 7104 ) 18.746 * * [simplify]: Extracting # 0 : cost 0 18.756 * * [simplify]: Extracting # 1 : cost 0 18.762 * * [simplify]: Extracting # 2 : cost 0 18.767 * * [simplify]: Extracting # 3 : cost 0 18.773 * * [simplify]: Extracting # 4 : cost 0 18.778 * * [simplify]: Extracting # 5 : cost 0 18.784 * 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(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)) (- (* (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 (/ (- a) (acos a)) (- a) (/ (acos a) (- a)) (/ (/ 1 (acos a)) (* (cbrt (/ 1 (- a))) (cbrt (/ 1 (- a))))) (/ (/ 1 (acos a)) (sqrt (/ 1 (- 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 (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 (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 (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)) (/ (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)) -1 (- (log (acos a))) (- (log (acos a))) (- (log (acos a))) (- (log (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)) (/ (/ 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 (acos a)) (acos a) (/ (/ 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)) 18.802 * * * [progress]: adding candidates to table 19.226 * [progress]: [Phase 3 of 3] Extracting. 19.226 * * [regime]: Finding splitpoints for: (# # # # # #) 19.226 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 19.226 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 19.255 * * * * [regimes]: Trying to branch on a from (# # # # # #) 19.281 * * * [regime]: Found split indices: #