11.625 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying: (/ a (- (acos a))) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.025 * [simplify]: Simplified to: (/ a (- (acos a))) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [backup-simplify]: Simplify -1 into -1 0.047 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (acos a) in a 0.048 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.048 * [taylor]: Taking taylor expansion of -1 in a 0.048 * [backup-simplify]: Simplify -1 into -1 0.048 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.048 * [taylor]: Taking taylor expansion of a in a 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify 1 into 1 0.048 * [taylor]: Taking taylor expansion of (acos a) in a 0.048 * [backup-simplify]: Simplify (acos a) into (acos a) 0.048 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.048 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.048 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.053 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [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 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [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 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.062 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.063 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.063 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.063 * [taylor]: Taking taylor expansion of -1 in a 0.063 * [backup-simplify]: Simplify -1 into -1 0.063 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.063 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.063 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.063 * [taylor]: Taking taylor expansion of a in a 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.063 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.064 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.064 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.064 * [taylor]: Taking taylor expansion of -1 in a 0.064 * [backup-simplify]: Simplify -1 into -1 0.064 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.064 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.064 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.064 * [taylor]: Taking taylor expansion of a in a 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 1 into 1 0.064 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.065 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.065 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) 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)))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.072 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.072 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.072 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.072 * [taylor]: Taking taylor expansion of a in a 0.072 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify 1 into 1 0.072 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.072 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.072 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.072 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.072 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.073 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.073 * [taylor]: Taking taylor expansion of a in a 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.073 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.073 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.073 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.073 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.080 * [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 0.080 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.083 * * * [progress]: simplifying candidates 0.084 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: Extracting # 4 : cost 0 0.086 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: Extracting # 1 : cost 0 0.131 * * [simplify]: Extracting # 2 : cost 0 0.131 * * [simplify]: Extracting # 3 : cost 0 0.132 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.163 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.165 * * [simplify]: Extracting # 2 : cost 0 0.166 * * [simplify]: Extracting # 3 : cost 0 0.166 * * [simplify]: Extracting # 4 : cost 0 0.167 * * [simplify]: iteration 2 : 333 enodes (cost 563 ) 0.330 * * [simplify]: Extracting # 0 : cost 0 0.331 * * [simplify]: Extracting # 1 : cost 0 0.331 * * [simplify]: Extracting # 2 : cost 0 0.332 * * [simplify]: Extracting # 3 : cost 0 0.333 * * [simplify]: Extracting # 4 : cost 0 0.333 * * [simplify]: iteration 3 : 587 enodes (cost 563 ) 0.626 * * [simplify]: Extracting # 0 : cost 0 0.628 * * [simplify]: Extracting # 1 : cost 0 0.629 * * [simplify]: Extracting # 2 : cost 0 0.629 * * [simplify]: Extracting # 3 : cost 0 0.630 * * [simplify]: Extracting # 4 : cost 0 0.631 * * [simplify]: iteration 4 : 1105 enodes (cost 563 ) 2.038 * * [simplify]: Extracting # 0 : cost 0 2.040 * * [simplify]: Extracting # 1 : cost 0 2.042 * * [simplify]: Extracting # 2 : cost 0 2.047 * * [simplify]: Extracting # 3 : cost 0 2.049 * * [simplify]: Extracting # 4 : cost 0 2.051 * * [simplify]: iteration 5 : 2150 enodes (cost 558 ) 4.692 * * [simplify]: Extracting # 0 : cost 0 4.699 * * [simplify]: Extracting # 1 : cost 0 4.703 * * [simplify]: Extracting # 2 : cost 0 4.709 * * [simplify]: Extracting # 3 : cost 0 4.713 * * [simplify]: Extracting # 4 : cost 0 4.718 * * [simplify]: iteration done: 5001 enodes (cost 558 ) 4.718 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 4.719 * * * [progress]: adding candidates to table 4.915 * * [progress]: iteration 2 / 4 4.915 * * * [progress]: picking best candidate 4.953 * * * * [pick]: Picked # 4.953 * * * [progress]: localizing error 4.967 * * * [progress]: generating rewritten candidates 4.967 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.999 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 5.026 * * * [progress]: generating series expansions 5.026 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.027 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 5.027 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.027 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.027 * [taylor]: Taking taylor expansion of -1 in a 5.027 * [backup-simplify]: Simplify -1 into -1 5.027 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.027 * [taylor]: Taking taylor expansion of a in a 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [taylor]: Taking taylor expansion of (acos a) in a 5.027 * [backup-simplify]: Simplify (acos a) into (acos a) 5.027 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.027 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.027 * [taylor]: Taking taylor expansion of -1 in a 5.027 * [backup-simplify]: Simplify -1 into -1 5.027 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.027 * [taylor]: Taking taylor expansion of a in a 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [taylor]: Taking taylor expansion of (acos a) in a 5.027 * [backup-simplify]: Simplify (acos a) into (acos a) 5.027 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.027 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.027 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.027 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.030 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.030 * [backup-simplify]: Simplify 0 into 0 5.030 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.031 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.033 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.035 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.035 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.035 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.035 * [taylor]: Taking taylor expansion of -1 in a 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.035 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.035 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.035 * [taylor]: Taking taylor expansion of a in a 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.036 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.036 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.036 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.036 * [taylor]: Taking taylor expansion of -1 in a 5.036 * [backup-simplify]: Simplify -1 into -1 5.036 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.036 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.036 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.036 * [taylor]: Taking taylor expansion of a in a 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.036 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.036 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.037 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.037 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.037 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.037 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.038 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.039 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.039 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.040 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.041 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.041 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.043 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.043 * [backup-simplify]: Simplify 0 into 0 5.043 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.043 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.043 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.043 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.043 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.044 * [taylor]: Taking taylor expansion of a in a 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.044 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.044 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.044 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.044 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.044 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.044 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.044 * [taylor]: Taking taylor expansion of a in a 5.044 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify 1 into 1 5.044 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.044 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.044 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.045 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.045 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.046 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.050 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.052 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 5.055 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 5.055 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 5.055 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.055 * [taylor]: Taking taylor expansion of (acos a) in a 5.055 * [backup-simplify]: Simplify (acos a) into (acos a) 5.055 * [taylor]: Taking taylor expansion of a in a 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.055 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.055 * [taylor]: Taking taylor expansion of (acos a) in a 5.055 * [backup-simplify]: Simplify (acos a) into (acos a) 5.056 * [taylor]: Taking taylor expansion of a in a 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.056 * [backup-simplify]: Simplify (acos a) into (acos a) 5.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.066 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 5.078 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 5.078 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 5.078 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.078 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.078 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.078 * [taylor]: Taking taylor expansion of a in a 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [backup-simplify]: Simplify 1 into 1 5.078 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.079 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.079 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.079 * [taylor]: Taking taylor expansion of a in a 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.080 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.080 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.082 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.086 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 5.088 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 5.088 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 5.088 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.088 * [taylor]: Taking taylor expansion of -1 in a 5.088 * [backup-simplify]: Simplify -1 into -1 5.088 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.088 * [taylor]: Taking taylor expansion of a in a 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.088 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.088 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.088 * [taylor]: Taking taylor expansion of -1 in a 5.088 * [backup-simplify]: Simplify -1 into -1 5.088 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.088 * [taylor]: Taking taylor expansion of a in a 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.088 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.089 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.089 * [backup-simplify]: Simplify (* -1 0) into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.090 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 5.090 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 5.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.092 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 5.092 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 5.095 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.099 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 5.099 * [backup-simplify]: Simplify 0 into 0 5.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 5.103 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 5.108 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 5.114 * * * [progress]: simplifying candidates 5.118 * [simplify]: Simplifying: (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (/ (* (* 1 1) 1) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (* (* (/ 1 (- (/ (acos a) a))) (/ 1 (- (/ (acos a) a)))) (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (- 1) (- (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (cbrt 1) (cbrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (* 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(* (cbrt a) (cbrt a)))) (/ 1 (- (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (- (/ (cbrt (acos a)) (sqrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (- (/ (cbrt (acos a)) a))) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (- (/ (sqrt (acos a)) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (- (/ (sqrt (acos a)) a))) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (- (/ (acos a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (- (/ (acos a) (sqrt a)))) (/ 1 (/ 1 1)) (/ 1 (- (/ (acos a) a))) (/ 1 1) (/ 1 (- (/ (acos a) a))) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (/ (acos a) a))) (/ (- (/ (acos a) a)) 1) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 1) (/ 1 -1) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ 1 (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (- (/ (sqrt (acos a)) 1))) (/ 1 (- (/ 1 (* (cbrt a) (cbrt a))))) (/ 1 (- (/ 1 (sqrt a)))) (/ 1 (- (/ 1 1))) (/ 1 (- 1)) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (- (log (acos a)) (log a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (* (* (acos a) (acos a)) (acos a)) (* (* a a) a)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a)) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (sqrt (acos a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) (/ 1 1) (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (/ (acos a) 1) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 5.126 * * [simplify]: Extracting # 0 : cost 0 5.127 * * [simplify]: Extracting # 1 : cost 0 5.128 * * [simplify]: Extracting # 2 : cost 0 5.128 * * [simplify]: Extracting # 3 : cost 0 5.129 * * [simplify]: Extracting # 4 : cost 0 5.129 * * [simplify]: Extracting # 5 : cost 0 5.130 * * [simplify]: Extracting # 6 : cost 0 5.130 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 5.297 * * [simplify]: Extracting # 0 : cost 0 5.297 * * [simplify]: Extracting # 1 : cost 0 5.298 * * [simplify]: Extracting # 2 : cost 0 5.298 * * [simplify]: iteration 1 : 472 enodes (cost 2004 ) 5.390 * * [simplify]: Extracting # 0 : cost 0 5.391 * * [simplify]: Extracting # 1 : cost 0 5.393 * * [simplify]: Extracting # 2 : cost 0 5.394 * * [simplify]: Extracting # 3 : cost 0 5.395 * * [simplify]: iteration 2 : 774 enodes (cost 1861 ) 5.789 * * [simplify]: Extracting # 0 : cost 0 5.791 * * [simplify]: Extracting # 1 : cost 0 5.792 * * [simplify]: Extracting # 2 : cost 0 5.793 * * [simplify]: Extracting # 3 : cost 0 5.794 * * [simplify]: Extracting # 4 : cost 0 5.795 * * [simplify]: iteration 3 : 1510 enodes (cost 1711 ) 7.045 * * [simplify]: Extracting # 0 : cost 0 7.048 * * [simplify]: Extracting # 1 : cost 0 7.050 * * [simplify]: Extracting # 2 : cost 0 7.052 * * [simplify]: Extracting # 3 : cost 0 7.054 * * [simplify]: Extracting # 4 : cost 0 7.056 * * [simplify]: iteration 4 : 2755 enodes (cost 1711 ) 11.150 * * [simplify]: Extracting # 0 : cost 0 11.155 * * [simplify]: Extracting # 1 : cost 0 11.159 * * [simplify]: Extracting # 2 : cost 0 11.162 * * [simplify]: Extracting # 3 : cost 0 11.168 * * [simplify]: Extracting # 4 : cost 0 11.171 * * [simplify]: iteration done: 5000 enodes (cost 1711 ) 11.172 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) -1 (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos 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(cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (/ (cbrt (acos a)) (cbrt a))) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (sqrt (acos a)) (/ (sqrt (acos a)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) 1 (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 11.174 * * * [progress]: adding candidates to table 11.418 * * [progress]: iteration 3 / 4 11.418 * * * [progress]: picking best candidate 11.439 * * * * [pick]: Picked # 11.439 * * * [progress]: localizing error 11.448 * * * [progress]: generating rewritten candidates 11.448 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 11.471 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 11.484 * * * [progress]: generating series expansions 11.484 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 11.484 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 11.484 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 11.484 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 11.484 * [taylor]: Taking taylor expansion of (acos a) in a 11.484 * [backup-simplify]: Simplify (acos a) into (acos a) 11.484 * [taylor]: Taking taylor expansion of a in a 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 11.484 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 11.484 * [taylor]: Taking taylor expansion of (acos a) in a 11.484 * [backup-simplify]: Simplify (acos a) into (acos a) 11.484 * [taylor]: Taking taylor expansion of a in a 11.484 * [backup-simplify]: Simplify 0 into 0 11.485 * [backup-simplify]: Simplify 1 into 1 11.485 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 11.485 * [backup-simplify]: Simplify (acos a) into (acos a) 11.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 11.486 * [backup-simplify]: Simplify 0 into 0 11.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.487 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.491 * [backup-simplify]: Simplify 0 into 0 11.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.493 * [backup-simplify]: Simplify 0 into 0 11.496 * [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 11.496 * [backup-simplify]: Simplify 0 into 0 11.497 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 11.497 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ 1 (/ 1 a))) into (* (acos (/ 1 a)) a) 11.497 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 11.497 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 11.497 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.497 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.497 * [taylor]: Taking taylor expansion of a in a 11.497 * [backup-simplify]: Simplify 0 into 0 11.497 * [backup-simplify]: Simplify 1 into 1 11.497 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 11.497 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.497 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.497 * [taylor]: Taking taylor expansion of a in a 11.497 * [backup-simplify]: Simplify 0 into 0 11.497 * [backup-simplify]: Simplify 1 into 1 11.497 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 11.497 * [backup-simplify]: Simplify 0 into 0 11.498 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 11.498 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.499 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 11.499 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.499 * [backup-simplify]: Simplify 0 into 0 11.500 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.500 * [backup-simplify]: Simplify 0 into 0 11.501 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.501 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.502 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 11.504 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 11.504 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 11.504 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 11.504 * [taylor]: Taking taylor expansion of -1 in a 11.504 * [backup-simplify]: Simplify -1 into -1 11.504 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.504 * [taylor]: Taking taylor expansion of a in a 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.504 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.504 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 11.504 * [taylor]: Taking taylor expansion of -1 in a 11.504 * [backup-simplify]: Simplify -1 into -1 11.504 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.504 * [taylor]: Taking taylor expansion of a in a 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.504 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.505 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 11.505 * [backup-simplify]: Simplify (* -1 0) into 0 11.505 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 11.506 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 11.506 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 11.507 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 11.508 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 11.508 * [backup-simplify]: Simplify 0 into 0 11.509 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 11.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 11.510 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 11.512 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 11.512 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 11.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 11.515 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 11.519 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 11.519 * [backup-simplify]: Simplify 0 into 0 11.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 11.523 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 11.523 * * * * [progress]: [ 2 / 2 ] generating series at (2) 11.523 * [backup-simplify]: Simplify (/ 1 (- (* (acos a) (/ 1 a)))) into (* -1 (/ a (acos a))) 11.523 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 11.523 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 11.523 * [taylor]: Taking taylor expansion of -1 in a 11.523 * [backup-simplify]: Simplify -1 into -1 11.523 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 11.523 * [taylor]: Taking taylor expansion of a in a 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 1 into 1 11.523 * [taylor]: Taking taylor expansion of (acos a) in a 11.523 * [backup-simplify]: Simplify (acos a) into (acos a) 11.524 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 11.524 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 11.524 * [taylor]: Taking taylor expansion of -1 in a 11.524 * [backup-simplify]: Simplify -1 into -1 11.524 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 11.524 * [taylor]: Taking taylor expansion of a in a 11.524 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify 1 into 1 11.524 * [taylor]: Taking taylor expansion of (acos a) in a 11.524 * [backup-simplify]: Simplify (acos a) into (acos a) 11.524 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 11.524 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 11.524 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 11.524 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 11.525 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 11.526 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 11.527 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.529 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 11.529 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 11.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 11.534 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 11.534 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))) into (/ -1 (* (acos (/ 1 a)) a)) 11.534 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 11.534 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 11.534 * [taylor]: Taking taylor expansion of -1 in a 11.534 * [backup-simplify]: Simplify -1 into -1 11.534 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 11.534 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.534 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.534 * [taylor]: Taking taylor expansion of a in a 11.534 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify 1 into 1 11.534 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 11.535 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 11.535 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.535 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 11.535 * [taylor]: Taking taylor expansion of -1 in a 11.535 * [backup-simplify]: Simplify -1 into -1 11.535 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 11.535 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 11.535 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 11.535 * [taylor]: Taking taylor expansion of a in a 11.535 * [backup-simplify]: Simplify 0 into 0 11.535 * [backup-simplify]: Simplify 1 into 1 11.535 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 11.536 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 11.536 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.536 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 11.537 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 11.537 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.538 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.538 * [backup-simplify]: Simplify 0 into 0 11.539 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.539 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.539 * [backup-simplify]: Simplify 0 into 0 11.540 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 11.541 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.541 * [backup-simplify]: Simplify 0 into 0 11.542 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 11.542 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 11.544 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 11.544 * [backup-simplify]: Simplify 0 into 0 11.544 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 11.544 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 11.544 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 11.544 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 11.544 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.545 * [taylor]: Taking taylor expansion of a in a 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.545 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.545 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 11.545 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 11.545 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.545 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 11.545 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 11.545 * [taylor]: Taking taylor expansion of a in a 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 11.545 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 11.546 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 11.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 11.546 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.546 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 11.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 11.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 11.548 * [backup-simplify]: Simplify 0 into 0 11.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 11.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.549 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 11.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.551 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 11.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.553 * [backup-simplify]: Simplify 0 into 0 11.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 11.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 11.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 11.558 * [backup-simplify]: Simplify 0 into 0 11.558 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 11.558 * * * [progress]: simplifying candidates 11.559 * [simplify]: Simplifying: (expm1 (* (acos a) (/ 1 a))) (log1p (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (acos a) (* (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) (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (log1p (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (log (- (* (acos a) (/ 1 a))))) (- 0 (log (- (* (acos a) (/ 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) (/ 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)) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (cbrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (/ 1 a))))) (/ (cbrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (* (acos a) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (sqrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 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))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 11.561 * * [simplify]: Extracting # 0 : cost 0 11.561 * * [simplify]: Extracting # 1 : cost 0 11.561 * * [simplify]: Extracting # 2 : cost 0 11.562 * * [simplify]: Extracting # 3 : cost 0 11.562 * * [simplify]: Extracting # 4 : cost 0 11.562 * * [simplify]: Extracting # 5 : cost 0 11.562 * * [simplify]: Extracting # 6 : cost 0 11.563 * * [simplify]: Extracting # 7 : cost 0 11.563 * * [simplify]: iteration 0 : 138 enodes (cost 989 ) 11.621 * * [simplify]: Extracting # 0 : cost 0 11.622 * * [simplify]: Extracting # 1 : cost 0 11.622 * * [simplify]: Extracting # 2 : cost 0 11.622 * * [simplify]: Extracting # 3 : cost 0 11.623 * * [simplify]: Extracting # 4 : cost 0 11.623 * * [simplify]: iteration 1 : 288 enodes (cost 700 ) 11.696 * * [simplify]: Extracting # 0 : cost 0 11.697 * * [simplify]: Extracting # 1 : cost 0 11.697 * * [simplify]: Extracting # 2 : cost 0 11.698 * * [simplify]: Extracting # 3 : cost 0 11.699 * * [simplify]: Extracting # 4 : cost 0 11.699 * * [simplify]: Extracting # 5 : cost 0 11.700 * * [simplify]: iteration 2 : 660 enodes (cost 619 ) 12.341 * * [simplify]: Extracting # 0 : cost 0 12.343 * * [simplify]: Extracting # 1 : cost 0 12.345 * * [simplify]: Extracting # 2 : cost 0 12.347 * * [simplify]: Extracting # 3 : cost 0 12.349 * * [simplify]: Extracting # 4 : cost 0 12.351 * * [simplify]: iteration 3 : 2163 enodes (cost 581 ) 14.247 * * [simplify]: Extracting # 0 : cost 0 14.256 * * [simplify]: Extracting # 1 : cost 0 14.263 * * [simplify]: Extracting # 2 : cost 0 14.267 * * [simplify]: iteration done: 5000 enodes (cost 581 ) 14.268 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt 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) (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) -1 (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (* (cbrt (- (/ a (acos a)))) (cbrt (- (/ a (acos a))))) (cbrt (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (sqrt (- (/ a (acos a)))) (sqrt (- (/ a (acos a)))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ -1 (acos 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))) 14.268 * * * [progress]: adding candidates to table 14.403 * * [progress]: iteration 4 / 4 14.404 * * * [progress]: picking best candidate 14.418 * * * * [pick]: Picked # 14.418 * * * [progress]: localizing error 14.428 * * * [progress]: generating rewritten candidates 14.428 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 14.450 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 14.466 * * * [progress]: generating series expansions 14.466 * * * * [progress]: [ 1 / 2 ] generating series at (2) 14.467 * [backup-simplify]: Simplify (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 14.467 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 14.467 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 14.468 * [taylor]: Taking taylor expansion of -1 in a 14.468 * [backup-simplify]: Simplify -1 into -1 14.468 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 14.468 * [taylor]: Taking taylor expansion of a in a 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 1 into 1 14.468 * [taylor]: Taking taylor expansion of (acos a) in a 14.468 * [backup-simplify]: Simplify (acos a) into (acos a) 14.468 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 14.468 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 14.468 * [taylor]: Taking taylor expansion of -1 in a 14.468 * [backup-simplify]: Simplify -1 into -1 14.468 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 14.468 * [taylor]: Taking taylor expansion of a in a 14.468 * [backup-simplify]: Simplify 0 into 0 14.468 * [backup-simplify]: Simplify 1 into 1 14.468 * [taylor]: Taking taylor expansion of (acos a) in a 14.468 * [backup-simplify]: Simplify (acos a) into (acos a) 14.468 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 14.468 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 14.468 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 14.468 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 14.469 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 14.469 * [backup-simplify]: Simplify 0 into 0 14.469 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 14.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 14.470 * [backup-simplify]: Simplify 0 into 0 14.470 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 14.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 14.471 * [backup-simplify]: Simplify 0 into 0 14.472 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 14.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 14.473 * [backup-simplify]: Simplify 0 into 0 14.473 * [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 14.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 14.475 * [backup-simplify]: Simplify 0 into 0 14.475 * [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 14.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 14.477 * [backup-simplify]: Simplify 0 into 0 14.477 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 14.477 * [backup-simplify]: Simplify (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 14.477 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 14.477 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 14.477 * [taylor]: Taking taylor expansion of -1 in a 14.478 * [backup-simplify]: Simplify -1 into -1 14.478 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.478 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.478 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.478 * [taylor]: Taking taylor expansion of a in a 14.478 * [backup-simplify]: Simplify 0 into 0 14.478 * [backup-simplify]: Simplify 1 into 1 14.478 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.478 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.478 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.478 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 14.478 * [taylor]: Taking taylor expansion of -1 in a 14.478 * [backup-simplify]: Simplify -1 into -1 14.478 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.478 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.479 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.479 * [taylor]: Taking taylor expansion of a in a 14.479 * [backup-simplify]: Simplify 0 into 0 14.479 * [backup-simplify]: Simplify 1 into 1 14.479 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.479 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.479 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.479 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 14.480 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 14.480 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 14.480 * [backup-simplify]: Simplify 0 into 0 14.481 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.481 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 14.481 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.482 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 14.482 * [backup-simplify]: Simplify 0 into 0 14.483 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.483 * [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 14.483 * [backup-simplify]: Simplify 0 into 0 14.484 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.484 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 14.484 * [backup-simplify]: Simplify 0 into 0 14.485 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 14.486 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 14.486 * [backup-simplify]: Simplify 0 into 0 14.486 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 14.487 * [backup-simplify]: Simplify (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 14.487 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 14.487 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 14.487 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.487 * [taylor]: Taking taylor expansion of a in a 14.487 * [backup-simplify]: Simplify 0 into 0 14.487 * [backup-simplify]: Simplify 1 into 1 14.487 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.487 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.487 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.487 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.488 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 14.488 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.488 * [taylor]: Taking taylor expansion of a in a 14.488 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify 1 into 1 14.488 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.488 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.488 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.488 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.488 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.488 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 14.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 14.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 14.489 * [backup-simplify]: Simplify 0 into 0 14.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 14.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 14.491 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 14.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 14.493 * [backup-simplify]: Simplify 0 into 0 14.494 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 14.495 * [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 14.495 * [backup-simplify]: Simplify 0 into 0 14.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 14.497 * [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 14.497 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 14.499 * [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 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 14.499 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 14.499 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 14.499 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 14.499 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 14.499 * [taylor]: Taking taylor expansion of (acos a) in a 14.499 * [backup-simplify]: Simplify (acos a) into (acos a) 14.499 * [taylor]: Taking taylor expansion of a in a 14.499 * [backup-simplify]: Simplify 0 into 0 14.499 * [backup-simplify]: Simplify 1 into 1 14.499 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 14.499 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 14.499 * [taylor]: Taking taylor expansion of (acos a) in a 14.500 * [backup-simplify]: Simplify (acos a) into (acos a) 14.500 * [taylor]: Taking taylor expansion of a in a 14.500 * [backup-simplify]: Simplify 0 into 0 14.500 * [backup-simplify]: Simplify 1 into 1 14.500 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 14.500 * [backup-simplify]: Simplify (acos a) into (acos a) 14.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 14.501 * [backup-simplify]: Simplify 0 into 0 14.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.502 * [backup-simplify]: Simplify 0 into 0 14.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.503 * [backup-simplify]: Simplify 0 into 0 14.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.505 * [backup-simplify]: Simplify 0 into 0 14.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.507 * [backup-simplify]: Simplify 0 into 0 14.509 * [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 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 14.509 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 14.509 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 14.509 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.509 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.509 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.509 * [taylor]: Taking taylor expansion of a in a 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 1 into 1 14.509 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 14.509 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 14.509 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.509 * [taylor]: Taking taylor expansion of a in a 14.509 * [backup-simplify]: Simplify 0 into 0 14.509 * [backup-simplify]: Simplify 1 into 1 14.509 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 14.509 * [backup-simplify]: Simplify 0 into 0 14.510 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 14.510 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 14.510 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.511 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.511 * [backup-simplify]: Simplify 0 into 0 14.512 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 14.512 * [backup-simplify]: Simplify 0 into 0 14.513 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 14.513 * [backup-simplify]: Simplify 0 into 0 14.513 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 14.513 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 14.514 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 14.515 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 14.515 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 14.515 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 14.515 * [taylor]: Taking taylor expansion of -1 in a 14.515 * [backup-simplify]: Simplify -1 into -1 14.515 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.515 * [taylor]: Taking taylor expansion of a in a 14.515 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify 1 into 1 14.515 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.515 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.515 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 14.515 * [taylor]: Taking taylor expansion of -1 in a 14.515 * [backup-simplify]: Simplify -1 into -1 14.515 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 14.515 * [taylor]: Taking taylor expansion of a in a 14.515 * [backup-simplify]: Simplify 0 into 0 14.515 * [backup-simplify]: Simplify 1 into 1 14.515 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 14.515 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 14.515 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 14.516 * [backup-simplify]: Simplify (* -1 0) into 0 14.516 * [backup-simplify]: Simplify 0 into 0 14.516 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 14.517 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 14.517 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 14.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 14.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 14.518 * [backup-simplify]: Simplify 0 into 0 14.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 14.520 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 14.520 * [backup-simplify]: Simplify 0 into 0 14.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 14.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 14.522 * [backup-simplify]: Simplify 0 into 0 14.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 14.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 14.524 * [backup-simplify]: Simplify 0 into 0 14.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 14.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 14.527 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 14.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 14.531 * [backup-simplify]: Simplify 0 into 0 14.531 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 14.531 * * * [progress]: simplifying candidates 14.532 * [simplify]: Simplifying: (expm1 (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (log1p (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (- (+ (log (cbrt 1)) (log (cbrt 1))) (log (- (/ (acos a) a)))) (- (log (* (cbrt 1) (cbrt 1))) (log (- (/ (acos a) a)))) (log (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (exp (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (/ (* 1 1) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (/ (* (* (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (* (cbrt 1) (cbrt 1))) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (* (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a))))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (* (* (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (- (/ (acos a) a)))) (- (* (cbrt 1) (cbrt 1))) (- (- (/ (acos a) a))) (/ (cbrt 1) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (cbrt 1) (cbrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (cbrt 1) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (cbrt 1) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (cbrt 1) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) 1))) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (cbrt 1) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (cbrt 1) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (cbrt 1) (- (/ 1 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (cbrt 1) (- 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (cbrt 1) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (cbrt 1) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (cbrt 1) (- (cbrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (- (/ (cbrt (acos a)) a))) (/ (cbrt 1) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (- (/ (sqrt (acos a)) a))) (/ (cbrt 1) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (acos a) (cbrt a)))) (/ (cbrt 1) (/ 1 (sqrt a))) (/ (cbrt 1) (- (/ (acos a) (sqrt a)))) (/ (cbrt 1) (/ 1 1)) (/ (cbrt 1) (- (/ (acos a) a))) (/ (cbrt 1) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (cbrt 1) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ 1 (- (/ (acos a) a))) (/ (- (/ (acos a) a)) (* (cbrt 1) (cbrt 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) 1))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (- (log (acos a)) (log a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (/ (* (* (acos a) (acos a)) (acos a)) (* (* a a) a)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (* (* (/ (acos a) a) (/ (acos a) a)) (/ (acos a) a)) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (sqrt (acos a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) (/ 1 1) (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (/ (acos a) 1) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 14.535 * * [simplify]: Extracting # 0 : cost 0 14.535 * * [simplify]: Extracting # 1 : cost 0 14.535 * * [simplify]: Extracting # 2 : cost 0 14.535 * * [simplify]: Extracting # 3 : cost 0 14.536 * * [simplify]: Extracting # 4 : cost 0 14.536 * * [simplify]: Extracting # 5 : cost 0 14.536 * * [simplify]: Extracting # 6 : cost 0 14.536 * * [simplify]: iteration 0 : 193 enodes (cost 1482 ) 14.625 * * [simplify]: Extracting # 0 : cost 0 14.626 * * [simplify]: Extracting # 1 : cost 0 14.626 * * [simplify]: Extracting # 2 : cost 0 14.627 * * [simplify]: iteration 1 : 388 enodes (cost 1126 ) 14.701 * * [simplify]: Extracting # 0 : cost 0 14.702 * * [simplify]: Extracting # 1 : cost 0 14.703 * * [simplify]: Extracting # 2 : cost 0 14.704 * * [simplify]: Extracting # 3 : cost 0 14.704 * * [simplify]: iteration 2 : 660 enodes (cost 1020 ) 14.898 * * [simplify]: Extracting # 0 : cost 0 14.900 * * [simplify]: Extracting # 1 : cost 0 14.901 * * [simplify]: Extracting # 2 : cost 0 14.902 * * [simplify]: Extracting # 3 : cost 0 14.903 * * [simplify]: iteration 3 : 1293 enodes (cost 945 ) 15.664 * * [simplify]: Extracting # 0 : cost 0 15.667 * * [simplify]: Extracting # 1 : cost 0 15.669 * * [simplify]: Extracting # 2 : cost 0 15.670 * * [simplify]: Extracting # 3 : cost 0 15.672 * * [simplify]: Extracting # 4 : cost 0 15.674 * * [simplify]: iteration 4 : 2417 enodes (cost 945 ) 18.141 * * [simplify]: Extracting # 0 : cost 0 18.145 * * [simplify]: Extracting # 1 : cost 0 18.148 * * [simplify]: Extracting # 2 : cost 0 18.151 * * [simplify]: Extracting # 3 : cost 0 18.153 * * [simplify]: Extracting # 4 : cost 0 18.156 * * [simplify]: iteration 5 : 4209 enodes (cost 945 ) 18.847 * * [simplify]: Extracting # 0 : cost 0 18.851 * * [simplify]: Extracting # 1 : cost 0 18.854 * * [simplify]: Extracting # 2 : cost 0 18.858 * * [simplify]: iteration done: 5001 enodes (cost 945 ) 18.859 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) -1 (/ (acos a) a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (- (cbrt (acos a)))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (/ (- (acos a)) a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (- (cbrt (acos a)))) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (/ (- (acos a)) a) (/ 1 (- (acos a))) (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ (/ PI 2) a) (/ (asin a) a) (* (/ (cbrt (acos a)) (* (cbrt a) (cbrt a))) (cbrt (acos 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) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) 18.859 * * * [progress]: adding candidates to table 19.101 * [progress]: [Phase 3 of 3] Extracting. 19.101 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 19.103 * * * [regime-changes]: Trying 1 branch expressions: ((/ a (- (acos a)))) 19.103 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # #) 19.141 * * * [regime]: Found split indices: #