69.253 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (/ a (- (acos a))) 0.024 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.024 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.024 * * [simplify]: Extracting # 2 : cost 3 inf + 1 0.024 * * [simplify]: Extracting # 3 : cost 0 inf + 394 0.024 * * [simplify]: iteration 0 : 4 enodes (cost 171 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 inf + 394 0.024 * * [simplify]: iteration complete: 4 enodes (cost 171 ) 0.024 * [simplify]: Simplified to: (/ a (- (acos a))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.045 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.045 * [taylor]: Taking taylor expansion of -1 in a 0.045 * [backup-simplify]: Simplify -1 into -1 0.045 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [taylor]: Taking taylor expansion of (acos a) in a 0.045 * [backup-simplify]: Simplify (acos a) into (acos a) 0.045 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.045 * [taylor]: Taking taylor expansion of -1 in a 0.045 * [backup-simplify]: Simplify -1 into -1 0.045 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.045 * [taylor]: Taking taylor expansion of a in a 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.046 * [taylor]: Taking taylor expansion of (acos a) in a 0.046 * [backup-simplify]: Simplify (acos a) into (acos a) 0.046 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.046 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.046 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.047 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.048 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [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 0.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.055 * [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))) (* 0 (/ 0 (acos a))))) into 0 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.058 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.058 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.059 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.059 * [taylor]: Taking taylor expansion of -1 in a 0.059 * [backup-simplify]: Simplify -1 into -1 0.059 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.059 * [taylor]: Taking taylor expansion of a in a 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.059 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.059 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.060 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.060 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.060 * [taylor]: Taking taylor expansion of -1 in a 0.060 * [backup-simplify]: Simplify -1 into -1 0.060 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.060 * [taylor]: Taking taylor expansion of a in a 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.060 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.060 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.061 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.062 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.066 * [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 0.066 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.068 * [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 0.068 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) 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 0.076 * [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 0.080 * [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 0.082 * [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 0.086 * [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 0.089 * [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 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.093 * [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 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.093 * * * [progress]: simplifying candidates 0.095 * [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))) 0.097 * * [simplify]: Extracting # 0 : cost 69 inf + 0 0.097 * * [simplify]: Extracting # 1 : cost 92 inf + 0 0.097 * * [simplify]: Extracting # 2 : cost 90 inf + 74 0.098 * * [simplify]: Extracting # 3 : cost 64 inf + 3645 0.100 * * [simplify]: Extracting # 4 : cost 8 inf + 16633 0.102 * * [simplify]: Extracting # 5 : cost 0 inf + 18882 0.105 * * [simplify]: iteration 0 : 94 enodes (cost 19112 ) 0.152 * * [simplify]: Extracting # 0 : cost 0 inf + 18882 0.155 * * [simplify]: Extracting # 1 : cost 31 inf + 18368 0.158 * * [simplify]: Extracting # 2 : cost 0 inf + 25263 0.163 * * [simplify]: Extracting # 3 : cost 0 inf + 25223 0.167 * * [simplify]: iteration 1 : 171 enodes (cost 18312 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 inf + 25223 0.220 * * [simplify]: Extracting # 1 : cost 102 inf + 25182 0.224 * * [simplify]: Extracting # 2 : cost 0 inf + 45303 0.230 * * [simplify]: iteration 2 : 448 enodes (cost 18272 ) 0.357 * * [simplify]: Extracting # 0 : cost 0 inf + 45303 0.365 * * [simplify]: Extracting # 1 : cost 358 inf + 44650 0.380 * * [simplify]: Extracting # 2 : cost 6 inf + 119961 0.404 * * [simplify]: Extracting # 3 : cost 3 inf + 119405 0.445 * * [simplify]: Extracting # 4 : cost 0 inf + 120309 0.479 * * [simplify]: iteration 3 : 1308 enodes (cost 18232 ) 1.224 * * [simplify]: Extracting # 0 : cost 0 inf + 120309 1.289 * * [simplify]: Extracting # 1 : cost 1621 inf + 116990 1.443 * * [simplify]: Extracting # 2 : cost 16 inf + 429321 1.620 * * [simplify]: Extracting # 3 : cost 11 inf + 428882 1.748 * * [simplify]: Extracting # 4 : cost 0 inf + 431470 1.879 * * [simplify]: iteration complete: 5000 enodes (cost 18232 ) 1.880 * [simplify]: Simplified to: (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.885 * * * [progress]: adding candidates to table 2.076 * * [progress]: iteration 2 / 4 2.076 * * * [progress]: picking best candidate 2.108 * * * * [pick]: Picked # 2.108 * * * [progress]: localizing error 2.125 * * * [progress]: generating rewritten candidates 2.125 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 2.134 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.163 * * * [progress]: generating series expansions 2.163 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 2.163 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.163 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.163 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.163 * [taylor]: Taking taylor expansion of -1 in a 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.163 * [taylor]: Taking taylor expansion of (acos a) in a 2.163 * [backup-simplify]: Simplify (acos a) into (acos a) 2.163 * [taylor]: Taking taylor expansion of a in a 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.163 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.163 * [taylor]: Taking taylor expansion of -1 in a 2.163 * [backup-simplify]: Simplify -1 into -1 2.163 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.163 * [taylor]: Taking taylor expansion of (acos a) in a 2.163 * [backup-simplify]: Simplify (acos a) into (acos a) 2.163 * [taylor]: Taking taylor expansion of a in a 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.164 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.164 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.174 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.179 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.179 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.179 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.179 * [taylor]: Taking taylor expansion of -1 in a 2.179 * [backup-simplify]: Simplify -1 into -1 2.179 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.179 * [taylor]: Taking taylor expansion of a in a 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.179 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.179 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.179 * [taylor]: Taking taylor expansion of -1 in a 2.179 * [backup-simplify]: Simplify -1 into -1 2.179 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.179 * [taylor]: Taking taylor expansion of a in a 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.179 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.179 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.180 * [backup-simplify]: Simplify (* -1 0) into 0 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.180 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.181 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.182 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.185 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.188 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.191 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.194 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.194 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.194 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.194 * [taylor]: Taking taylor expansion of a in a 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.195 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.195 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.195 * [taylor]: Taking taylor expansion of a in a 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.195 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.195 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.195 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.197 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.202 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.202 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.202 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.202 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.202 * [taylor]: Taking taylor expansion of -1 in a 2.202 * [backup-simplify]: Simplify -1 into -1 2.202 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.202 * [taylor]: Taking taylor expansion of a in a 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of (acos a) in a 2.202 * [backup-simplify]: Simplify (acos a) into (acos a) 2.202 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.202 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.202 * [taylor]: Taking taylor expansion of -1 in a 2.202 * [backup-simplify]: Simplify -1 into -1 2.202 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.202 * [taylor]: Taking taylor expansion of a in a 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of (acos a) in a 2.203 * [backup-simplify]: Simplify (acos a) into (acos a) 2.203 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.203 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.203 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.203 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.203 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.206 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.212 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.212 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.212 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.212 * [taylor]: Taking taylor expansion of -1 in a 2.212 * [backup-simplify]: Simplify -1 into -1 2.212 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.213 * [taylor]: Taking taylor expansion of a in a 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.213 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.213 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.213 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.213 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.213 * [taylor]: Taking taylor expansion of -1 in a 2.213 * [backup-simplify]: Simplify -1 into -1 2.214 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.214 * [taylor]: Taking taylor expansion of a in a 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.214 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.214 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.214 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.215 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.216 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.222 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.225 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.225 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.229 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.229 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.229 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.229 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.229 * [taylor]: Taking taylor expansion of a in a 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.229 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.229 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.230 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.230 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.230 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.230 * [taylor]: Taking taylor expansion of a in a 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.230 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.230 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.231 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.231 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.244 * * * [progress]: simplifying candidates 2.250 * [simplify]: Simplifying: (- (log (- (acos a))) (log a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (- (- (acos a))) (- a) (/ 0 a) (/ (acos a) a) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (/ (- (cbrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (/ (- (sqrt (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (sqrt 1) (cbrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (sqrt (/ (- (acos a)) a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (- (acos a))) a)) (/ (sqrt 1) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (- (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (- (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (/ -1 (* (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) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (sqrt 1) (/ (cbrt (acos a)) a)) (/ (sqrt 1) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) 1)) (/ (sqrt 1) (/ (sqrt (acos a)) a)) (/ (sqrt 1) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (acos a) (cbrt a))) (/ (sqrt 1) (/ (- 1) (sqrt a))) (/ (sqrt 1) (/ (acos a) (sqrt a))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (acos a) a)) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (sqrt 1) (/ (- (cbrt (acos a))) a)) (/ (sqrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (cbrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt 1) (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt 1) (/ (sqrt (acos a)) 1)) (/ (sqrt 1) (/ (- (sqrt (acos a))) a)) (/ (sqrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (sqrt 1) (/ (- (acos a)) (cbrt a))) (/ (sqrt 1) (/ 1 (sqrt a))) (/ (sqrt 1) (/ (- (acos a)) (sqrt a))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (- (acos a)) a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (cbrt (- (acos a))) a)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (cbrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ (sqrt (- (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (cbrt (acos a)) a)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) a)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ 1 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (/ (sqrt (- (acos a))) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ -1 (* (cbrt a) (cbrt a)))) (/ 1 (/ -1 (sqrt a))) (/ 1 (/ -1 1)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) 1)) (/ 1 (/ (- 1) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (- (acos a))) (/ (/ (- (acos a)) a) (cbrt 1)) (/ (/ (- (acos a)) a) (sqrt 1)) (/ (/ (- (acos a)) a) 1) (/ 1 (- (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 2.257 * * [simplify]: Extracting # 0 : cost 256 inf + 0 2.257 * * [simplify]: Extracting # 1 : cost 285 inf + 0 2.259 * * [simplify]: Extracting # 2 : cost 253 inf + 5272 2.264 * * [simplify]: Extracting # 3 : cost 123 inf + 35954 2.276 * * [simplify]: Extracting # 4 : cost 28 inf + 66818 2.281 * * [simplify]: Extracting # 5 : cost 2 inf + 76971 2.286 * * [simplify]: Extracting # 6 : cost 0 inf + 77995 2.291 * * [simplify]: iteration 0 : 288 enodes (cost 97190 ) 2.511 * * [simplify]: Extracting # 0 : cost 0 inf + 77995 2.532 * * [simplify]: Extracting # 1 : cost 165 inf + 69748 2.559 * * [simplify]: Extracting # 2 : cost 0 inf + 102232 2.588 * * [simplify]: Extracting # 3 : cost 0 inf + 101113 2.624 * * [simplify]: Extracting # 4 : cost 0 inf + 101032 2.658 * * [simplify]: iteration 1 : 767 enodes (cost 80637 ) 2.949 * * [simplify]: Extracting # 0 : cost 0 inf + 101032 2.978 * * [simplify]: Extracting # 1 : cost 288 inf + 99231 3.021 * * [simplify]: Extracting # 2 : cost 0 inf + 154494 3.073 * * [simplify]: Extracting # 3 : cost 0 inf + 154054 3.125 * * [simplify]: Extracting # 4 : cost 0 inf + 154014 3.152 * * [simplify]: iteration 2 : 1549 enodes (cost 80099 ) 4.033 * * [simplify]: Extracting # 0 : cost 0 inf + 154014 4.077 * * [simplify]: Extracting # 1 : cost 674 inf + 146605 4.180 * * [simplify]: Extracting # 2 : cost 55 inf + 264730 4.327 * * [simplify]: Extracting # 3 : cost 3 inf + 276762 4.474 * * [simplify]: Extracting # 4 : cost 0 inf + 277258 4.595 * * [simplify]: iteration 3 : 3733 enodes (cost 74888 ) 5.443 * * [simplify]: Extracting # 0 : cost 0 inf + 277258 5.581 * * [simplify]: Extracting # 1 : cost 646 inf + 277005 5.729 * * [simplify]: Extracting # 2 : cost 0 inf + 408714 5.877 * * [simplify]: Extracting # 3 : cost 0 inf + 408583 6.048 * * [simplify]: iteration complete: 5159 enodes (cost 74888 ) 6.050 * [simplify]: Simplified to: (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a)) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a)) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (- (/ (acos a) a)) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (* (cbrt (acos a)) (- (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (- (/ (acos a) a)) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* (/ a (acos a)) (/ a (acos a))) a) (- (acos a))) (/ (* (* (/ a (acos a)) (/ a (acos a))) a) (- (acos a))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (/ (* (* (/ a (acos a)) (/ a (acos a))) a) (- (acos a))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) -1 (/ (acos a) a) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (cbrt a) (cbrt (acos a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (cbrt a) (cbrt (acos a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ (cbrt a) (cbrt (acos a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (sqrt a) (cbrt (acos a))) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (- (/ (acos a) a)) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (- (cbrt (acos a))))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt a)) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 6.062 * * * [progress]: adding candidates to table 6.717 * * [progress]: iteration 3 / 4 6.717 * * * [progress]: picking best candidate 6.750 * * * * [pick]: Picked # 6.750 * * * [progress]: localizing error 6.765 * * * [progress]: generating rewritten candidates 6.765 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.781 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 6.816 * * * [progress]: generating series expansions 6.817 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.817 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 6.817 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 6.817 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 6.817 * [taylor]: Taking taylor expansion of -1 in a 6.817 * [backup-simplify]: Simplify -1 into -1 6.817 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 6.817 * [taylor]: Taking taylor expansion of (acos a) in a 6.817 * [backup-simplify]: Simplify (acos a) into (acos a) 6.817 * [taylor]: Taking taylor expansion of a in a 6.817 * [backup-simplify]: Simplify 0 into 0 6.817 * [backup-simplify]: Simplify 1 into 1 6.817 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 6.817 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 6.817 * [taylor]: Taking taylor expansion of -1 in a 6.817 * [backup-simplify]: Simplify -1 into -1 6.817 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 6.817 * [taylor]: Taking taylor expansion of (acos a) in a 6.818 * [backup-simplify]: Simplify (acos a) into (acos a) 6.818 * [taylor]: Taking taylor expansion of a in a 6.818 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify 1 into 1 6.818 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 6.818 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 6.818 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 6.820 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.827 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 6.827 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 6.830 * [backup-simplify]: Simplify 0 into 0 6.832 * [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 6.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 6.833 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 6.833 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 6.833 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 6.833 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 6.833 * [taylor]: Taking taylor expansion of -1 in a 6.833 * [backup-simplify]: Simplify -1 into -1 6.833 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.833 * [taylor]: Taking taylor expansion of a in a 6.833 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.834 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.834 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 6.834 * [taylor]: Taking taylor expansion of -1 in a 6.834 * [backup-simplify]: Simplify -1 into -1 6.834 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.834 * [taylor]: Taking taylor expansion of a in a 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify 1 into 1 6.834 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.834 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.834 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 6.834 * [backup-simplify]: Simplify (* -1 0) into 0 6.834 * [backup-simplify]: Simplify 0 into 0 6.834 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 6.835 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 6.835 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 6.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 6.836 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 6.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 6.837 * [backup-simplify]: Simplify 0 into 0 6.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 6.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 6.839 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 6.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 6.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 6.845 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 6.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 6.848 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 6.848 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 6.848 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.848 * [taylor]: Taking taylor expansion of a in a 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.848 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.848 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.848 * [taylor]: Taking taylor expansion of a in a 6.848 * [backup-simplify]: Simplify 0 into 0 6.848 * [backup-simplify]: Simplify 1 into 1 6.848 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.848 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.848 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 6.848 * [backup-simplify]: Simplify 0 into 0 6.849 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 6.849 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 6.849 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 6.850 * [backup-simplify]: Simplify 0 into 0 6.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 6.851 * [backup-simplify]: Simplify 0 into 0 6.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 6.856 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 6.859 * * * * [progress]: [ 2 / 2 ] generating series at (2) 6.859 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 6.859 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 6.859 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.859 * [taylor]: Taking taylor expansion of -1 in a 6.859 * [backup-simplify]: Simplify -1 into -1 6.859 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.859 * [taylor]: Taking taylor expansion of a in a 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 1 into 1 6.859 * [taylor]: Taking taylor expansion of (acos a) in a 6.859 * [backup-simplify]: Simplify (acos a) into (acos a) 6.859 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 6.859 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 6.860 * [taylor]: Taking taylor expansion of -1 in a 6.860 * [backup-simplify]: Simplify -1 into -1 6.860 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 6.860 * [taylor]: Taking taylor expansion of a in a 6.860 * [backup-simplify]: Simplify 0 into 0 6.860 * [backup-simplify]: Simplify 1 into 1 6.860 * [taylor]: Taking taylor expansion of (acos a) in a 6.860 * [backup-simplify]: Simplify (acos a) into (acos a) 6.860 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 6.860 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 6.860 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 6.860 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 6.861 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 6.861 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.862 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [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 6.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [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 6.868 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 6.868 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 6.871 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 6.872 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 6.872 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 6.872 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 6.872 * [taylor]: Taking taylor expansion of -1 in a 6.872 * [backup-simplify]: Simplify -1 into -1 6.872 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.872 * [taylor]: Taking taylor expansion of a in a 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 1 into 1 6.872 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.872 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.872 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 6.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.873 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 6.873 * [taylor]: Taking taylor expansion of -1 in a 6.873 * [backup-simplify]: Simplify -1 into -1 6.873 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 6.873 * [taylor]: Taking taylor expansion of a in a 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 6.873 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 6.873 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 6.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 6.873 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.874 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 6.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 6.875 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 6.876 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 6.878 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 6.878 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 6.881 * [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 6.881 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 6.884 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 6.887 * [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 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 6.887 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 6.887 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 6.887 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.887 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.887 * [taylor]: Taking taylor expansion of a in a 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.888 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.888 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 6.888 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 6.888 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.888 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 6.888 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 6.888 * [taylor]: Taking taylor expansion of a in a 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 6.889 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 6.889 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 6.889 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.889 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 6.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 6.890 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 6.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 6.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 6.896 * [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 6.896 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 6.903 * [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 6.903 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 6.906 * [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 6.906 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 6.907 * * * [progress]: simplifying candidates 6.911 * [simplify]: Simplifying: (* (- (acos a)) (/ 1 a)) (+ (log (- (acos a))) (- (log a))) (+ (log (- (acos a))) (- 0 (log a))) (+ (log (- (acos a))) (- (log 1) (log a))) (+ (log (- (acos a))) (log (/ 1 a))) (log (* (- (acos a)) (/ 1 a))) (exp (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (- (acos a)) (/ 1 a))) (cbrt (* (- (acos a)) (/ 1 a)))) (cbrt (* (- (acos a)) (/ 1 a))) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (sqrt (* (- (acos a)) (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ (sqrt 1) (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (sqrt (- (acos a))) (/ 1 (sqrt a))) (* (acos a) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 6.913 * * [simplify]: Extracting # 0 : cost 74 inf + 0 6.914 * * [simplify]: Extracting # 1 : cost 114 inf + 0 6.914 * * [simplify]: Extracting # 2 : cost 118 inf + 85 6.915 * * [simplify]: Extracting # 3 : cost 94 inf + 3681 6.917 * * [simplify]: Extracting # 4 : cost 41 inf + 16246 6.920 * * [simplify]: Extracting # 5 : cost 11 inf + 25565 6.924 * * [simplify]: Extracting # 6 : cost 4 inf + 27510 6.927 * * [simplify]: Extracting # 7 : cost 0 inf + 29278 6.931 * * [simplify]: iteration 0 : 125 enodes (cost 26997 ) 7.011 * * [simplify]: Extracting # 0 : cost 0 inf + 29278 7.019 * * [simplify]: Extracting # 1 : cost 62 inf + 25131 7.029 * * [simplify]: Extracting # 2 : cost 1 inf + 36784 7.041 * * [simplify]: Extracting # 3 : cost 0 inf + 36256 7.054 * * [simplify]: Extracting # 4 : cost 0 inf + 34792 7.066 * * [simplify]: Extracting # 5 : cost 0 inf + 34671 7.077 * * [simplify]: iteration 1 : 346 enodes (cost 21345 ) 7.167 * * [simplify]: Extracting # 0 : cost 0 inf + 34671 7.177 * * [simplify]: Extracting # 1 : cost 219 inf + 32639 7.188 * * [simplify]: Extracting # 2 : cost 4 inf + 74276 7.201 * * [simplify]: Extracting # 3 : cost 5 inf + 73915 7.223 * * [simplify]: Extracting # 4 : cost 1 inf + 74575 7.247 * * [simplify]: Extracting # 5 : cost 0 inf + 75068 7.260 * * [simplify]: iteration 2 : 889 enodes (cost 20364 ) 8.200 * * [simplify]: Extracting # 0 : cost 0 inf + 75068 8.227 * * [simplify]: Extracting # 1 : cost 346 inf + 67349 8.284 * * [simplify]: Extracting # 2 : cost 38 inf + 127026 8.348 * * [simplify]: Extracting # 3 : cost 6 inf + 134677 8.439 * * [simplify]: Extracting # 4 : cost 0 inf + 136852 8.536 * * [simplify]: iteration 3 : 2544 enodes (cost 18954 ) 9.391 * * [simplify]: Extracting # 0 : cost 0 inf + 136852 9.545 * * [simplify]: Extracting # 1 : cost 941 inf + 133531 9.758 * * [simplify]: Extracting # 2 : cost 0 inf + 343879 10.087 * * [simplify]: iteration complete: 5066 enodes (cost 18954 ) 10.088 * [simplify]: Simplified to: (/ (- (acos a)) a) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (log (/ (- (acos a)) a)) (exp (/ (- (acos a)) a)) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a)) (- (* (/ (acos a) a) (* (/ (acos a) a) (/ (acos a) a)))) (sqrt (/ (- (acos a)) a)) (sqrt (/ (- (acos a)) a)) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (* (sqrt (- (acos a))) (sqrt (/ 1 a))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (/ (- (acos a)) a) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (- (/ (cbrt (acos a)) a)) (- (/ (sqrt (acos a)) a)) (/ (- (acos a)) a) (- (acos a)) -1 -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 10.091 * * * [progress]: adding candidates to table 10.405 * * [progress]: iteration 4 / 4 10.405 * * * [progress]: picking best candidate 10.444 * * * * [pick]: Picked # 10.445 * * * [progress]: localizing error 10.463 * * * [progress]: generating rewritten candidates 10.463 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 10.512 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 10.605 * * * [progress]: generating series expansions 10.605 * * * * [progress]: [ 1 / 2 ] generating series at (2) 10.605 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 10.605 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 10.605 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.605 * [taylor]: Taking taylor expansion of -1 in a 10.605 * [backup-simplify]: Simplify -1 into -1 10.605 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.605 * [taylor]: Taking taylor expansion of a in a 10.605 * [backup-simplify]: Simplify 0 into 0 10.605 * [backup-simplify]: Simplify 1 into 1 10.605 * [taylor]: Taking taylor expansion of (acos a) in a 10.605 * [backup-simplify]: Simplify (acos a) into (acos a) 10.605 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.605 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 10.606 * [taylor]: Taking taylor expansion of -1 in a 10.606 * [backup-simplify]: Simplify -1 into -1 10.606 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 10.606 * [taylor]: Taking taylor expansion of a in a 10.606 * [backup-simplify]: Simplify 0 into 0 10.606 * [backup-simplify]: Simplify 1 into 1 10.606 * [taylor]: Taking taylor expansion of (acos a) in a 10.606 * [backup-simplify]: Simplify (acos a) into (acos a) 10.606 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 10.606 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 10.606 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.606 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 10.607 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 10.607 * [backup-simplify]: Simplify 0 into 0 10.607 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 10.608 * [backup-simplify]: Simplify 0 into 0 10.608 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 10.609 * [backup-simplify]: Simplify 0 into 0 10.610 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 10.611 * [backup-simplify]: Simplify 0 into 0 10.612 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.616 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 10.616 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 10.616 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 10.616 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 10.616 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 10.616 * [taylor]: Taking taylor expansion of -1 in a 10.616 * [backup-simplify]: Simplify -1 into -1 10.616 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 10.616 * [taylor]: Taking taylor expansion of a in a 10.616 * [backup-simplify]: Simplify 0 into 0 10.616 * [backup-simplify]: Simplify 1 into 1 10.616 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.616 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.617 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 10.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 10.617 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.617 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 10.617 * [taylor]: Taking taylor expansion of -1 in a 10.617 * [backup-simplify]: Simplify -1 into -1 10.617 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 10.617 * [taylor]: Taking taylor expansion of a in a 10.617 * [backup-simplify]: Simplify 0 into 0 10.617 * [backup-simplify]: Simplify 1 into 1 10.617 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.617 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.617 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 10.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 10.618 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.618 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 10.619 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.619 * [backup-simplify]: Simplify 0 into 0 10.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 10.621 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.621 * [backup-simplify]: Simplify 0 into 0 10.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 10.623 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 10.625 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.625 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 10.628 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.628 * [backup-simplify]: Simplify 0 into 0 10.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 10.631 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.631 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 10.632 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 10.632 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 10.632 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.632 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.632 * [taylor]: Taking taylor expansion of a in a 10.632 * [backup-simplify]: Simplify 0 into 0 10.632 * [backup-simplify]: Simplify 1 into 1 10.632 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.632 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.632 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.633 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.633 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 10.633 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 10.633 * [taylor]: Taking taylor expansion of a in a 10.633 * [backup-simplify]: Simplify 0 into 0 10.633 * [backup-simplify]: Simplify 1 into 1 10.633 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.633 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.633 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 10.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 10.634 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.634 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 10.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 10.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.635 * [backup-simplify]: Simplify 0 into 0 10.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 10.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.637 * [backup-simplify]: Simplify 0 into 0 10.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 10.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.639 * [backup-simplify]: Simplify 0 into 0 10.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 10.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.641 * [backup-simplify]: Simplify 0 into 0 10.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 10.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.644 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 10.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.648 * [backup-simplify]: Simplify 0 into 0 10.648 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 10.648 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 10.648 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 10.648 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 10.648 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.648 * [taylor]: Taking taylor expansion of -1 in a 10.648 * [backup-simplify]: Simplify -1 into -1 10.648 * [taylor]: Taking taylor expansion of (acos a) in a 10.648 * [backup-simplify]: Simplify (acos a) into (acos a) 10.648 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.648 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 10.648 * [taylor]: Taking taylor expansion of -1 in a 10.648 * [backup-simplify]: Simplify -1 into -1 10.648 * [taylor]: Taking taylor expansion of (acos a) in a 10.648 * [backup-simplify]: Simplify (acos a) into (acos a) 10.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.649 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.649 * [backup-simplify]: Simplify 0 into 0 10.650 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.650 * [backup-simplify]: Simplify 0 into 0 10.650 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.650 * [backup-simplify]: Simplify 0 into 0 10.651 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.651 * [backup-simplify]: Simplify 0 into 0 10.651 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 10.651 * [backup-simplify]: Simplify 0 into 0 10.651 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 10.652 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 10.652 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 10.652 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.652 * [taylor]: Taking taylor expansion of -1 in a 10.652 * [backup-simplify]: Simplify -1 into -1 10.652 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.652 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.652 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.652 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 10.652 * [taylor]: Taking taylor expansion of -1 in a 10.652 * [backup-simplify]: Simplify -1 into -1 10.652 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 10.652 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 10.652 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.652 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 10.653 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 10.653 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.653 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.654 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.654 * [backup-simplify]: Simplify 0 into 0 10.655 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.655 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 10.656 * [backup-simplify]: Simplify 0 into 0 10.656 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 10.656 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 10.656 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 10.656 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.656 * [taylor]: Taking taylor expansion of -1 in a 10.657 * [backup-simplify]: Simplify -1 into -1 10.657 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.657 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.657 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.657 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 10.657 * [taylor]: Taking taylor expansion of -1 in a 10.657 * [backup-simplify]: Simplify -1 into -1 10.657 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 10.657 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 10.657 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.657 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 10.657 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 10.658 * [backup-simplify]: Simplify 0 into 0 10.658 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.658 * [backup-simplify]: Simplify 0 into 0 10.658 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.659 * [backup-simplify]: Simplify 0 into 0 10.659 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.659 * [backup-simplify]: Simplify 0 into 0 10.660 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.660 * [backup-simplify]: Simplify 0 into 0 10.661 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 10.661 * [backup-simplify]: Simplify 0 into 0 10.661 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 10.661 * * * [progress]: simplifying candidates 10.681 * [simplify]: Simplifying: (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt 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(* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt 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(acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 1) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) 1) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (sqrt (- (acos a)))) (/ 1 1) (/ 1 -1) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) (/ 1 (- 1)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 1) (/ (- (acos a)) (cbrt 1)) (/ (- (acos a)) (sqrt 1)) (/ (- (acos a)) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 10.697 * * [simplify]: Extracting # 0 : cost 751 inf + 0 10.699 * * [simplify]: Extracting # 1 : cost 797 inf + 0 10.701 * * [simplify]: Extracting # 2 : cost 800 inf + 246 10.705 * * [simplify]: Extracting # 3 : cost 743 inf + 8612 10.721 * * [simplify]: Extracting # 4 : cost 473 inf + 89022 10.741 * * [simplify]: Extracting # 5 : cost 90 inf + 243413 10.773 * * [simplify]: Extracting # 6 : cost 0 inf + 285753 10.805 * * [simplify]: iteration 0 : 807 enodes (cost 365174 ) 11.792 * * [simplify]: Extracting # 0 : cost 0 inf + 285753 11.858 * * [simplify]: Extracting # 1 : cost 412 inf + 228401 11.955 * * [simplify]: Extracting # 2 : cost 0 inf + 321389 12.062 * * [simplify]: Extracting # 3 : cost 0 inf + 318429 12.183 * * [simplify]: Extracting # 4 : cost 0 inf + 317509 12.279 * * [simplify]: iteration 1 : 2680 enodes (cost 270001 ) 13.295 * * [simplify]: Extracting # 0 : cost 0 inf + 317509 13.403 * * [simplify]: Extracting # 1 : cost 718 inf + 303056 13.547 * * [simplify]: Extracting # 2 : cost 12 inf + 464446 13.742 * * [simplify]: Extracting # 3 : cost 0 inf + 459221 13.923 * * [simplify]: iteration 2 : 4850 enodes (cost 250395 ) 14.581 * * [simplify]: Extracting # 0 : cost 0 inf + 459221 14.777 * * [simplify]: Extracting # 1 : cost 65 inf + 459141 14.956 * * [simplify]: Extracting # 2 : cost 0 inf + 479005 15.139 * * [simplify]: iteration complete: 5002 enodes (cost 250395 ) 15.143 * [simplify]: Simplified to: (- (log (/ (- (acos a)) 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(sqrt (acos a)))) -1 (* (/ 1 (cbrt (acos a))) (/ 1 (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)) 15.196 * * * [progress]: adding candidates to table 15.992 * [progress]: [Phase 3 of 3] Extracting. 15.992 * * [regime]: Finding splitpoints for: (# # # # # #) 15.994 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 15.994 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # #) 16.075 * * * * [regimes]: Trying to branch on a from (# # # # # #) 16.139 * * * [regime]: Found split indices: #