20.215 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ a (- (acos a))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.030 * [simplify]: Simplified to: (/ a (- (acos a))) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.047 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.047 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.047 * [taylor]: Taking taylor expansion of -1 in a 0.047 * [backup-simplify]: Simplify -1 into -1 0.047 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.047 * [taylor]: Taking taylor expansion of a in a 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (acos a) in a 0.047 * [backup-simplify]: Simplify (acos a) into (acos a) 0.047 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 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 0.047 * [backup-simplify]: Simplify (acos a) into (acos a) 0.047 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.047 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.047 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.048 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.048 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.054 * [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))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.056 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.056 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.056 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.056 * [taylor]: Taking taylor expansion of -1 in a 0.056 * [backup-simplify]: Simplify -1 into -1 0.056 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.056 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.056 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.056 * [taylor]: Taking taylor expansion of a in a 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify 1 into 1 0.056 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.057 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.057 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.057 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.057 * [taylor]: Taking taylor expansion of -1 in a 0.057 * [backup-simplify]: Simplify -1 into -1 0.057 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.057 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.057 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.057 * [taylor]: Taking taylor expansion of a in a 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.057 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.057 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.057 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.058 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.058 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.058 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.060 * [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 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.062 * [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 0.062 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.063 * [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 0.063 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.073 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.073 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.073 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.073 * [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 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.074 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.074 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.074 * [taylor]: Taking taylor expansion of a in a 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.074 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.074 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.074 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.075 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 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 (acos (/ -1 a)))))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 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 (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)))))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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)))))) 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 (acos (/ -1 a))))))))) into 0 0.082 * [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 0.082 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.085 * * * [progress]: simplifying candidates 0.086 * [simplify]: Simplifying: (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))) 0.087 * * [simplify]: Extracting # 0 : cost 0 0.087 * * [simplify]: Extracting # 1 : cost 0 0.087 * * [simplify]: Extracting # 2 : cost 0 0.088 * * [simplify]: Extracting # 3 : cost 0 0.088 * * [simplify]: Extracting # 4 : cost 0 0.088 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.122 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: Extracting # 1 : cost 0 0.122 * * [simplify]: Extracting # 2 : cost 0 0.122 * * [simplify]: Extracting # 3 : cost 0 0.122 * * [simplify]: iteration 1 : 173 enodes (cost 581 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.160 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: iteration 2 : 463 enodes (cost 563 ) 0.377 * * [simplify]: Extracting # 0 : cost 0 0.384 * * [simplify]: Extracting # 1 : cost 0 0.387 * * [simplify]: Extracting # 2 : cost 0 0.389 * * [simplify]: Extracting # 3 : cost 0 0.391 * * [simplify]: Extracting # 4 : cost 0 0.394 * * [simplify]: iteration 3 : 2074 enodes (cost 563 ) 1.322 * * [simplify]: Extracting # 0 : cost 0 1.331 * * [simplify]: Extracting # 1 : cost 0 1.338 * * [simplify]: Extracting # 2 : cost 0 1.348 * * [simplify]: Extracting # 3 : cost 0 1.357 * * [simplify]: Extracting # 4 : cost 0 1.366 * * [simplify]: Extracting # 5 : cost 0 1.380 * * [simplify]: iteration done: 5000 enodes (cost 563 ) 1.381 * [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 -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 1.382 * * * [progress]: adding candidates to table 1.514 * * [progress]: iteration 2 / 4 1.514 * * * [progress]: picking best candidate 1.541 * * * * [pick]: Picked # 1.542 * * * [progress]: localizing error 1.559 * * * [progress]: generating rewritten candidates 1.559 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.586 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.621 * * * [progress]: generating series expansions 1.621 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.621 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.621 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.621 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.621 * [taylor]: Taking taylor expansion of -1 in a 1.621 * [backup-simplify]: Simplify -1 into -1 1.621 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.621 * [taylor]: Taking taylor expansion of a in a 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of (acos a) in a 1.621 * [backup-simplify]: Simplify (acos a) into (acos a) 1.621 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.621 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.621 * [taylor]: Taking taylor expansion of -1 in a 1.621 * [backup-simplify]: Simplify -1 into -1 1.621 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.621 * [taylor]: Taking taylor expansion of a in a 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [taylor]: Taking taylor expansion of (acos a) in a 1.621 * [backup-simplify]: Simplify (acos a) into (acos a) 1.621 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.621 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.622 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.622 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.622 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [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 1.626 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [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 1.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [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 1.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.629 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 1.629 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.629 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.629 * [taylor]: Taking taylor expansion of -1 in a 1.629 * [backup-simplify]: Simplify -1 into -1 1.629 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.629 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.630 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.630 * [taylor]: Taking taylor expansion of a in a 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.630 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.630 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 1.630 * [taylor]: Taking taylor expansion of -1 in a 1.630 * [backup-simplify]: Simplify -1 into -1 1.630 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.630 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.630 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.630 * [taylor]: Taking taylor expansion of a in a 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.631 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.631 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.631 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.631 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.632 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.633 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.634 * [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 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.635 * [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 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.636 * [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 1.636 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.638 * [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 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.638 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.638 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.638 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.638 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.638 * [taylor]: Taking taylor expansion of a in a 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.638 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.638 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.639 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.639 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.639 * [taylor]: Taking taylor expansion of a in a 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.639 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.639 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.639 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.639 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.646 * [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 1.646 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.649 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.649 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.649 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.649 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.649 * [taylor]: Taking taylor expansion of -1 in a 1.649 * [backup-simplify]: Simplify -1 into -1 1.649 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.649 * [taylor]: Taking taylor expansion of (acos a) in a 1.649 * [backup-simplify]: Simplify (acos a) into (acos a) 1.649 * [taylor]: Taking taylor expansion of a in a 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.649 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.649 * [taylor]: Taking taylor expansion of -1 in a 1.649 * [backup-simplify]: Simplify -1 into -1 1.649 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.649 * [taylor]: Taking taylor expansion of (acos a) in a 1.649 * [backup-simplify]: Simplify (acos a) into (acos a) 1.649 * [taylor]: Taking taylor expansion of a in a 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.649 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.649 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.669 * [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 1.671 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.671 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* (acos (/ 1 a)) a)) 1.671 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 1.671 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.671 * [taylor]: Taking taylor expansion of -1 in a 1.671 * [backup-simplify]: Simplify -1 into -1 1.671 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.671 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.671 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.671 * [taylor]: Taking taylor expansion of a in a 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 1.671 * [taylor]: Taking taylor expansion of -1 in a 1.671 * [backup-simplify]: Simplify -1 into -1 1.671 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 1.671 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.671 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.671 * [taylor]: Taking taylor expansion of a in a 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 1.672 * [backup-simplify]: Simplify (* -1 0) into 0 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 1.673 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.673 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.673 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 1.674 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.681 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.684 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.684 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.684 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.684 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.684 * [taylor]: Taking taylor expansion of a in a 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.684 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.684 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.684 * [taylor]: Taking taylor expansion of a in a 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.684 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.685 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.685 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.685 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.687 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.689 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.692 * * * [progress]: simplifying candidates 1.696 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) 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(/ 1 (/ (acos a) (cbrt a))) (/ 1 (/ (- 1) (sqrt a))) (/ 1 (/ (acos a) (sqrt a))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (- (cbrt (acos a))) a)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ (- (sqrt (acos a))) a)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (acos a)) (cbrt a))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ (- (acos a)) (sqrt a))) (/ 1 (/ 1 1)) (/ 1 (/ (- (acos a)) a)) (/ 1 1) (/ 1 (/ (- (acos a)) a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (/ (- (acos a)) a)) (/ (/ (- (acos a)) a) 1) (/ 1 (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (/ (* 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(acos a)))) 1) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) 1) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) (/ -1 1) (/ (acos a) a) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) 1) (/ (sqrt (acos a)) a) (/ (- 1) (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ (- 1) (sqrt a)) (/ (acos a) (sqrt a)) (/ (- 1) 1) (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1) (/ (- (cbrt (acos a))) a) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) 1) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) (/ 1 1) (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) 1) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) 1.701 * * [simplify]: Extracting # 0 : cost 0 1.701 * * [simplify]: Extracting # 1 : cost 0 1.702 * * [simplify]: Extracting # 2 : cost 0 1.702 * * [simplify]: Extracting # 3 : cost 0 1.703 * * [simplify]: Extracting # 4 : cost 0 1.703 * * [simplify]: Extracting # 5 : cost 0 1.704 * * [simplify]: iteration 0 : 292 enodes (cost 3194 ) 1.954 * * [simplify]: Extracting # 0 : cost 0 1.955 * * [simplify]: Extracting # 1 : cost 0 1.956 * * [simplify]: Extracting # 2 : cost 0 1.957 * * [simplify]: Extracting # 3 : cost 0 1.958 * * [simplify]: iteration 1 : 790 enodes (cost 2648 ) 2.504 * * [simplify]: Extracting # 0 : cost 0 2.514 * * [simplify]: Extracting # 1 : cost 0 2.524 * * [simplify]: Extracting # 2 : cost 0 2.533 * * [simplify]: Extracting # 3 : cost 0 2.543 * * [simplify]: Extracting # 4 : cost 0 2.552 * * [simplify]: iteration 2 : 3997 enodes (cost 2582 ) 3.854 * * [simplify]: Extracting # 0 : cost 0 3.864 * * [simplify]: Extracting # 1 : cost 0 3.875 * * [simplify]: Extracting # 2 : cost 0 3.886 * * [simplify]: iteration done: 5000 enodes (cost 2578 ) 3.889 * [simplify]: Simplified to: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) -1 (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ 1 (pow (/ (- (acos a)) a) 3)) (/ 1 (pow (/ (- (acos a)) a) 3)) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (pow (* (/ 1 (- (acos a))) a) 3) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 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 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (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 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (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 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (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 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 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 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (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 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (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 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (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 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 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 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (- (acos a))) (sqrt a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (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 (/ (sqrt (- (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (/ (cbrt (acos a)) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (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 (/ (sqrt (acos a)) a)) (- (* (cbrt a) (cbrt a))) (/ 1 (/ (acos a) (cbrt a))) (- (sqrt a)) (/ 1 (/ (acos a) (sqrt a))) -1 (/ 1 (/ (acos a) a)) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (- (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (- (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 (/ (- (sqrt (acos a))) a)) (* (cbrt a) (cbrt a)) (/ 1 (/ (- (acos a)) (cbrt a))) (sqrt a) (/ 1 (/ (- (acos a)) (sqrt a))) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (- (acos a))) a (* (/ 1 (- (acos a))) a) (/ (- (acos a)) 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 (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (- (acos a))) (sqrt a))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt 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) 0 (/ (acos a) a) (/ (cbrt (- (acos a))) (/ (* (cbrt a) (cbrt a)) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (/ (sqrt (- (acos a))) (cbrt a)) (cbrt a)) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (/ (- (sqrt (acos a))) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (- (cbrt (acos a))) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (- (sqrt (acos a))) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) 3.900 * * * [progress]: adding candidates to table 4.370 * * [progress]: iteration 3 / 4 4.370 * * * [progress]: picking best candidate 4.390 * * * * [pick]: Picked # 4.390 * * * [progress]: localizing error 4.399 * * * [progress]: generating rewritten candidates 4.400 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.445 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.559 * * * [progress]: generating series expansions 4.559 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.560 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 4.560 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 4.560 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.560 * [taylor]: Taking taylor expansion of -1 in a 4.560 * [backup-simplify]: Simplify -1 into -1 4.560 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.560 * [taylor]: Taking taylor expansion of a in a 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (acos a) in a 4.560 * [backup-simplify]: Simplify (acos a) into (acos a) 4.560 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.560 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 4.560 * [taylor]: Taking taylor expansion of -1 in a 4.560 * [backup-simplify]: Simplify -1 into -1 4.560 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 4.560 * [taylor]: Taking taylor expansion of a in a 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (acos a) in a 4.560 * [backup-simplify]: Simplify (acos a) into (acos a) 4.560 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 4.561 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 4.561 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.561 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 4.563 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.565 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 4.567 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.569 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 4.574 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* (acos (/ 1 a)) a)) 4.574 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 4.574 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.574 * [taylor]: Taking taylor expansion of -1 in a 4.574 * [backup-simplify]: Simplify -1 into -1 4.574 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.574 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.574 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.574 * [taylor]: Taking taylor expansion of a in a 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.575 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.575 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.575 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 4.575 * [taylor]: Taking taylor expansion of -1 in a 4.575 * [backup-simplify]: Simplify -1 into -1 4.575 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 4.575 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.575 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.575 * [taylor]: Taking taylor expansion of a in a 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 4.576 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 4.576 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.577 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.578 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 4.578 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.580 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.583 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.584 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.586 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.586 * [backup-simplify]: Simplify 0 into 0 4.587 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.588 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 4.588 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 4.588 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 4.588 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.588 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.588 * [taylor]: Taking taylor expansion of a in a 4.588 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify 1 into 1 4.588 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.588 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.588 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.589 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.589 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 4.589 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 4.589 * [taylor]: Taking taylor expansion of a in a 4.589 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify 1 into 1 4.589 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.589 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.589 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 4.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 4.590 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.590 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 4.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 4.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 4.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.592 * [backup-simplify]: Simplify 0 into 0 4.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 4.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.594 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 4.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.596 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 4.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.598 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 4.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 4.601 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.601 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 4.601 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 4.601 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.601 * [taylor]: Taking taylor expansion of -1 in a 4.601 * [backup-simplify]: Simplify -1 into -1 4.601 * [taylor]: Taking taylor expansion of (acos a) in a 4.601 * [backup-simplify]: Simplify (acos a) into (acos a) 4.601 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.601 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 4.601 * [taylor]: Taking taylor expansion of -1 in a 4.601 * [backup-simplify]: Simplify -1 into -1 4.601 * [taylor]: Taking taylor expansion of (acos a) in a 4.601 * [backup-simplify]: Simplify (acos a) into (acos a) 4.601 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.602 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.602 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.602 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.603 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 4.604 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 4.604 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 4.604 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.604 * [taylor]: Taking taylor expansion of -1 in a 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.604 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.604 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.604 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 4.604 * [taylor]: Taking taylor expansion of -1 in a 4.604 * [backup-simplify]: Simplify -1 into -1 4.604 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 4.604 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 4.605 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.605 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 4.605 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 4.605 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.607 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.608 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 4.609 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 4.609 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 4.609 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.609 * [taylor]: Taking taylor expansion of -1 in a 4.609 * [backup-simplify]: Simplify -1 into -1 4.609 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.609 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.609 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.609 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 4.609 * [taylor]: Taking taylor expansion of -1 in a 4.609 * [backup-simplify]: Simplify -1 into -1 4.609 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 4.610 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 4.610 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.610 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 4.610 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.612 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 4.614 * * * [progress]: simplifying candidates 4.631 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (/ (* (* 1 1) 1) (* (* a a) a))) (/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a)))) (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) (* (* (/ (/ 1 (- (acos a))) (/ 1 a)) (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) (- (/ 1 (- (acos a)))) (- (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (sqrt (/ 1 a))) (/ (cbrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (cbrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ (sqrt 1) a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (cbrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 (sqrt a))) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 (sqrt a))) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (/ 1 1)) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) 1) (/ (cbrt (/ 1 (- (acos a)))) (/ 1 a)) (/ (sqrt (/ 1 (- (acos a)))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (sqrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (cbrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (/ (sqrt (/ 1 (- (acos a)))) (/ (cbrt 1) (sqrt a))) (/ (sqrt (/ 1 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(acos a)) (cbrt (acos a)))) (sqrt a)) (* (/ 1 (- (cbrt (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (- (cbrt (acos a)))) a) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (cbrt (acos a)))) (cbrt a)) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (* (/ 1 (- (cbrt (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (- (cbrt (acos a)))) a) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (cbrt (acos a)))) (cbrt a)) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (* (/ 1 (- (cbrt (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (- (cbrt (acos a)))) a) (/ (/ 1 (sqrt (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (sqrt (acos a)))) (cbrt (/ 1 a))) (/ (/ 1 (sqrt (acos a))) (sqrt (/ 1 a))) (/ (/ 1 (- (sqrt (acos a)))) (sqrt (/ 1 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 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (sqrt (acos a)))) (cbrt a)) (* (/ 1 (sqrt (acos a))) (sqrt a)) (* (/ 1 (- (sqrt (acos a)))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) (/ 1 (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (cbrt (/ 1 a))) (/ 1 (sqrt (/ 1 a))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) (* (cbrt a) (cbrt a)) (* (/ 1 (- (acos a))) (cbrt a)) (sqrt a) (* (/ 1 (- (acos a))) (sqrt a)) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) 1 (* (/ 1 (- (acos a))) a) a (* (/ 1 a) (- (acos a))) (/ (/ 1 (- (acos a))) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (/ (/ 1 (- (acos a))) (sqrt (/ 1 a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (* (/ 1 (- (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (- (acos a))) (sqrt a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (/ (/ 1 a) (cbrt (/ 1 (- (acos a))))) (/ (/ 1 a) (sqrt (/ 1 (- (acos a))))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (cbrt (- (acos a)))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (cbrt (acos a))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) (acos a)) (* (/ 1 a) (- (cbrt (acos a)))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (expm1 (/ 1 (- (acos a)))) (log1p (/ 1 (- (acos a)))) -1 (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (- (log (- (acos a)))) (exp (/ 1 (- (acos a)))) (/ 1 (pow (- (acos a)) 3)) (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))) (cbrt (/ 1 (- (acos a)))) (pow (/ 1 (- (acos a))) 3) (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 (- (acos a)))) -1 (acos a) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 (/ 1 (- (acos a))) -1 (/ 1 (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) -1 (/ 1 (acos a)) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) 1 (/ 1 (- (acos a))) (/ 1 (- (acos a))) (- (acos a)) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) 1 -1 (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ 1 (- (sqrt (acos a)))) -1 (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (sqrt (acos a))) 1 (- (acos a)) (- (acos a)) (- (acos a)) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 7.324 * * * [progress]: adding candidates to table 7.829 * * [progress]: iteration 4 / 4 7.829 * * * [progress]: picking best candidate 7.853 * * * * [pick]: Picked # 7.854 * * * [progress]: localizing error 7.874 * * * [progress]: generating rewritten candidates 7.874 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.917 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.972 * * * [progress]: generating series expansions 7.972 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.972 * [backup-simplify]: Simplify (* (/ 1 a) (- (acos a))) into (* -1 (/ (acos a) a)) 7.972 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 7.972 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.972 * [taylor]: Taking taylor expansion of -1 in a 7.972 * [backup-simplify]: Simplify -1 into -1 7.972 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.972 * [taylor]: Taking taylor expansion of (acos a) in a 7.972 * [backup-simplify]: Simplify (acos a) into (acos a) 7.972 * [taylor]: Taking taylor expansion of a in a 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.973 * [taylor]: Taking taylor expansion of -1 in a 7.973 * [backup-simplify]: Simplify -1 into -1 7.973 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.973 * [taylor]: Taking taylor expansion of (acos a) in a 7.973 * [backup-simplify]: Simplify (acos a) into (acos a) 7.973 * [taylor]: Taking taylor expansion of a in a 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.973 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.973 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 7.975 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 7.978 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 7.990 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 7.994 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.000 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.006 * [backup-simplify]: Simplify (* (/ 1 (/ 1 a)) (- (acos (/ 1 a)))) into (* -1 (* (acos (/ 1 a)) a)) 8.006 * [approximate]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.006 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 8.006 * [taylor]: Taking taylor expansion of -1 in a 8.006 * [backup-simplify]: Simplify -1 into -1 8.006 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.006 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.006 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.006 * [taylor]: Taking taylor expansion of a in a 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [taylor]: Taking taylor expansion of (* -1 (* (acos (/ 1 a)) a)) in a 8.006 * [taylor]: Taking taylor expansion of -1 in a 8.006 * [backup-simplify]: Simplify -1 into -1 8.006 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.006 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.006 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.006 * [taylor]: Taking taylor expansion of a in a 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.007 * [backup-simplify]: Simplify (* -1 0) into 0 8.007 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.008 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 8.008 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 8.009 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 8.010 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 8.010 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.013 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 8.013 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 8.016 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 8.029 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- a))) (- (acos (/ 1 (- a))))) into (* a (acos (/ -1 a))) 8.029 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 8.029 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.029 * [taylor]: Taking taylor expansion of a in a 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 1 into 1 8.029 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.029 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.029 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.029 * [taylor]: Taking taylor expansion of a in a 8.029 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify 1 into 1 8.029 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.029 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.029 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.029 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.030 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.031 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.033 * [backup-simplify]: Simplify 0 into 0 8.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.034 * [backup-simplify]: Simplify 0 into 0 8.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.037 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.039 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.043 * [backup-simplify]: Simplify 0 into 0 8.043 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 8.043 * * * * [progress]: [ 2 / 2 ] generating series at (2) 8.044 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 a) (- (acos a)))) into (* -1 (/ a (acos a))) 8.044 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 8.044 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.044 * [taylor]: Taking taylor expansion of -1 in a 8.044 * [backup-simplify]: Simplify -1 into -1 8.044 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.044 * [taylor]: Taking taylor expansion of a in a 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [taylor]: Taking taylor expansion of (acos a) in a 8.044 * [backup-simplify]: Simplify (acos a) into (acos a) 8.044 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.044 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 8.044 * [taylor]: Taking taylor expansion of -1 in a 8.044 * [backup-simplify]: Simplify -1 into -1 8.044 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 8.044 * [taylor]: Taking taylor expansion of a in a 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [taylor]: Taking taylor expansion of (acos a) in a 8.045 * [backup-simplify]: Simplify (acos a) into (acos a) 8.045 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 8.045 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 8.045 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 8.045 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 8.046 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 8.047 * [backup-simplify]: Simplify 0 into 0 8.048 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 8.049 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.051 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 8.051 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 8.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 8.057 * [backup-simplify]: Simplify 0 into 0 8.057 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 8.058 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 (/ 1 a)) (- (acos (/ 1 a))))) into (/ -1 (* (acos (/ 1 a)) a)) 8.058 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 8.058 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.058 * [taylor]: Taking taylor expansion of -1 in a 8.058 * [backup-simplify]: Simplify -1 into -1 8.058 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.058 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.058 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.058 * [taylor]: Taking taylor expansion of a in a 8.058 * [backup-simplify]: Simplify 0 into 0 8.058 * [backup-simplify]: Simplify 1 into 1 8.058 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.059 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.059 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.059 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 8.059 * [taylor]: Taking taylor expansion of -1 in a 8.059 * [backup-simplify]: Simplify -1 into -1 8.059 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 8.059 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 8.059 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 8.059 * [taylor]: Taking taylor expansion of a in a 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.059 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 8.060 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 8.060 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.060 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 8.061 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 8.061 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 8.061 * [backup-simplify]: Simplify 0 into 0 8.062 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.062 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.062 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.064 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.064 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.066 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.068 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.071 * [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 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 8.072 * [backup-simplify]: Simplify (/ (/ 1 1) (* (/ 1 (/ 1 (- a))) (- (acos (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 8.072 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 8.072 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.072 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.072 * [taylor]: Taking taylor expansion of a in a 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.072 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.073 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.073 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.073 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 8.073 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 8.073 * [taylor]: Taking taylor expansion of a in a 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 8.074 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 8.074 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 8.074 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 8.074 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.075 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 8.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 8.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 8.075 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.078 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 8.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.079 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 8.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 8.081 * [backup-simplify]: Simplify 0 into 0 8.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 8.083 * [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 8.083 * [backup-simplify]: Simplify 0 into 0 8.084 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 8.084 * * * [progress]: simplifying candidates 8.085 * [simplify]: Simplifying: (expm1 (* (/ 1 a) (- (acos a)))) (log1p (* (/ 1 a) (- (acos a)))) (* (/ 1 a) (- (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)))) (log (* (/ 1 a) (- (acos a)))) (exp (* (/ 1 a) (- (acos a)))) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (* (/ 1 a) (- (acos a)))) (cbrt (* (/ 1 a) (- (acos a))))) (cbrt (* (/ 1 a) (- (acos a)))) (* (* (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a)))) (* (/ 1 a) (- (acos a)))) (sqrt (* (/ 1 a) (- (acos a)))) (sqrt (* (/ 1 a) (- (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)) (sqrt (- (acos a)))) (* (/ 1 a) (acos a)) (* (/ 1 a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (/ 1 a) (sqrt (- (acos a)))) (* (/ 1 a) 1) (* (/ 1 a) -1) (* (/ 1 a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ 1 a) (- (sqrt (acos a)))) (* (/ 1 a) (- 1)) (* (/ 1 a) (* (cbrt (acos a)) (cbrt (acos a)))) (* (/ 1 a) (sqrt (acos a))) (* (/ 1 a) 1) (* (cbrt (/ 1 a)) (- (acos a))) (* (sqrt (/ 1 a)) (- (acos a))) (* (/ (cbrt 1) (cbrt a)) (- (acos a))) (* (/ (cbrt 1) (sqrt a)) (- (acos a))) (* (/ (cbrt 1) a) (- (acos a))) (* (/ (sqrt 1) (cbrt a)) (- (acos a))) (* (/ (sqrt 1) (sqrt a)) (- (acos a))) (* (/ (sqrt 1) a) (- (acos a))) (* (/ 1 (cbrt a)) (- (acos a))) (* (/ 1 (sqrt a)) (- (acos a))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a))) (* 1 (- (acos a))) (expm1 (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (log1p (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (- (- 0) (+ (- (log a)) (log (- (acos a))))) (- (- 0) (+ (- 0 (log a)) (log (- (acos a))))) (- (- 0) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- 0) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- 0) (log (* (/ 1 a) (- (acos a))))) (- (- (log 1)) (+ (- (log a)) (log (- (acos a))))) (- (- (log 1)) (+ (- 0 (log a)) (log (- (acos a))))) (- (- (log 1)) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- (log 1)) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- (log 1)) (log (* (/ 1 a) (- (acos a))))) (- (- 0 0) (+ (- (log a)) (log (- (acos a))))) (- (- 0 0) (+ (- 0 (log a)) (log (- (acos a))))) (- (- 0 0) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- 0 0) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- 0 0) (log (* (/ 1 a) (- (acos a))))) (- (- 0 (log 1)) (+ (- (log a)) (log (- (acos a))))) (- (- 0 (log 1)) (+ (- 0 (log a)) (log (- (acos a))))) (- (- 0 (log 1)) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- 0 (log 1)) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- 0 (log 1)) (log (* (/ 1 a) (- (acos a))))) (- (- (log 1) 0) (+ (- (log a)) (log (- (acos a))))) (- (- (log 1) 0) (+ (- 0 (log a)) (log (- (acos a))))) (- (- (log 1) 0) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- (log 1) 0) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- (log 1) 0) (log (* (/ 1 a) (- (acos a))))) (- (- (log 1) (log 1)) (+ (- (log a)) (log (- (acos a))))) (- (- (log 1) (log 1)) (+ (- 0 (log a)) (log (- (acos a))))) (- (- (log 1) (log 1)) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (- (log 1) (log 1)) (+ (log (/ 1 a)) (log (- (acos a))))) (- (- (log 1) (log 1)) (log (* (/ 1 a) (- (acos a))))) (- (log (/ 1 1)) (+ (- (log a)) (log (- (acos a))))) (- (log (/ 1 1)) (+ (- 0 (log a)) (log (- (acos a))))) (- (log (/ 1 1)) (+ (- (log 1) (log a)) (log (- (acos a))))) (- (log (/ 1 1)) (+ (log (/ 1 a)) (log (- (acos a))))) (- (log (/ 1 1)) (log (* (/ 1 a) (- (acos a))))) (log (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (exp (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (- (acos a)) (- (acos a))) (- (acos a))))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (- (acos a)) (- (acos a))) (- (acos a))))) (/ (/ (* (* 1 1) 1) (* (* 1 1) 1)) (* (* (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a)))) (* (/ 1 a) (- (acos a))))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (/ (* (* 1 1) 1) (* (* a a) a)) (* (* (- (acos a)) (- (acos a))) (- (acos a))))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ 1 a) (/ 1 a)) (/ 1 a)) (* (* (- (acos a)) (- (acos a))) (- (acos a))))) (/ (* (* (/ 1 1) (/ 1 1)) (/ 1 1)) (* (* (* (/ 1 a) (- (acos a))) (* (/ 1 a) (- (acos a)))) (* (/ 1 a) (- (acos a))))) (* (cbrt (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (cbrt (/ (/ 1 1) (* (/ 1 a) (- (acos a)))))) (cbrt (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (* (* (/ (/ 1 1) (* (/ 1 a) (- (acos a)))) (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (sqrt (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (sqrt (/ (/ 1 1) (* (/ 1 a) (- (acos a))))) (- (/ 1 1)) (- (* (/ 1 a) (- (acos a)))) (/ (* (cbrt (/ 1 1)) (cbrt (/ 1 1))) (/ 1 a)) (/ (cbrt (/ 1 1)) (- (acos a))) (/ (sqrt (/ 1 1)) (/ 1 a)) (/ (sqrt (/ 1 1)) (- (acos a))) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (cbrt 1))) (/ 1 a)) (/ (/ (cbrt 1) (cbrt 1)) (- (acos a))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 a)) (/ (/ (cbrt 1) (sqrt 1)) (- (acos a))) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 a)) (/ (/ (cbrt 1) 1) (- (acos a))) (/ (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (/ 1 a)) (/ (/ (sqrt 1) (cbrt 1)) (- (acos a))) (/ (/ (sqrt 1) (sqrt 1)) (/ 1 a)) (/ (/ (sqrt 1) (sqrt 1)) (- (acos a))) (/ (/ (sqrt 1) 1) (/ 1 a)) (/ (/ (sqrt 1) 1) (- (acos a))) (/ (/ 1 (* (cbrt 1) (cbrt 1))) (/ 1 a)) (/ (/ 1 (cbrt 1)) (- (acos a))) (/ (/ 1 (sqrt 1)) (/ 1 a)) (/ (/ 1 (sqrt 1)) (- (acos a))) (/ (/ 1 1) (/ 1 a)) (/ (/ 1 1) (- (acos a))) (/ 1 (/ 1 a)) (/ (/ 1 1) (- (acos a))) (/ 1 (/ 1 a)) (/ (/ 1 1) (- (acos a))) (/ 1 (* (/ 1 a) (- (acos a)))) (/ (* (/ 1 a) (- (acos a))) (/ 1 1)) (/ (/ 1 1) (/ 1 a)) (/ (* (/ 1 a) (- (acos a))) (cbrt (/ 1 1))) (/ (* (/ 1 a) (- (acos a))) (sqrt (/ 1 1))) (/ (* (/ 1 a) (- (acos a))) (/ (cbrt 1) (cbrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ (cbrt 1) (sqrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ (cbrt 1) 1)) (/ (* (/ 1 a) (- (acos a))) (/ (sqrt 1) (cbrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ (sqrt 1) (sqrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ (sqrt 1) 1)) (/ (* (/ 1 a) (- (acos a))) (/ 1 (cbrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ 1 (sqrt 1))) (/ (* (/ 1 a) (- (acos a))) (/ 1 1)) (/ (* (/ 1 a) (- (acos a))) (/ 1 1)) (/ (* (/ 1 a) (- (acos a))) (/ 1 1)) (/ (/ 1 1) (* 1 (- (acos a)))) (* (* (/ 1 a) (- (acos a))) 1) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 8.088 * * [simplify]: Extracting # 0 : cost 0 8.089 * * [simplify]: Extracting # 1 : cost 0 8.089 * * [simplify]: Extracting # 2 : cost 0 8.089 * * [simplify]: Extracting # 3 : cost 0 8.089 * * [simplify]: Extracting # 4 : cost 0 8.090 * * [simplify]: Extracting # 5 : cost 0 8.090 * * [simplify]: Extracting # 6 : cost 0 8.090 * * [simplify]: Extracting # 7 : cost 0 8.090 * * [simplify]: iteration 0 : 208 enodes (cost 1738 ) 8.241 * * [simplify]: Extracting # 0 : cost 0 8.245 * * [simplify]: Extracting # 1 : cost 0 8.246 * * [simplify]: Extracting # 2 : cost 0 8.247 * * [simplify]: Extracting # 3 : cost 0 8.248 * * [simplify]: iteration 1 : 743 enodes (cost 1083 ) 9.328 * * [simplify]: Extracting # 0 : cost 0 9.343 * * [simplify]: Extracting # 1 : cost 0 9.352 * * [simplify]: Extracting # 2 : cost 0 9.358 * * [simplify]: Extracting # 3 : cost 0 9.362 * * [simplify]: Extracting # 4 : cost 0 9.367 * * [simplify]: Extracting # 5 : cost 0 9.372 * * [simplify]: Extracting # 6 : cost 0 9.376 * * [simplify]: iteration 2 : 4619 enodes (cost 835 ) 14.716 * * [simplify]: Extracting # 0 : cost 0 14.724 * * [simplify]: Extracting # 1 : cost 0 14.729 * * [simplify]: Extracting # 2 : cost 0 14.735 * * [simplify]: iteration done: 5000 enodes (cost 835 ) 14.736 * [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)) 3) (pow a 3)) (* (pow (- (acos a)) 3) (pow (/ 1 a) 3)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- 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(log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (/ 1 (pow (/ 1 a) 3)) (pow (- (acos a)) 3)) (/ 1 (pow (/ (- (acos a)) a) 3)) (/ (pow a 3) (pow (- (acos a)) 3)) (/ (/ 1 (pow (/ 1 a) 3)) (pow (- (acos a)) 3)) (/ 1 (pow (/ (- (acos a)) 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 (* (/ 1 a) (acos a)) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) (/ a (- (acos a))) (/ (- (acos a)) a) a (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 14.737 * * * [progress]: adding candidates to table 15.007 * [progress]: [Phase 3 of 3] Extracting. 15.007 * * [regime]: Finding splitpoints for: (# # # # # # # #) 15.008 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 15.008 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 15.071 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 15.117 * * * [regime]: Found split indices: #