20.433 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying: (/ a (- (acos a))) 0.045 * * [simplify]: iteration 0: 4 enodes 0.046 * * [simplify]: iteration complete: 4 enodes 0.046 * * [simplify]: Extracting #0: cost 1 inf + 0 0.046 * * [simplify]: Extracting #1: cost 3 inf + 0 0.046 * * [simplify]: Extracting #2: cost 3 inf + 1 0.046 * * [simplify]: Extracting #3: cost 0 inf + 11 0.046 * [simplify]: Simplified to: (/ a (- (acos a))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.078 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.078 * [taylor]: Taking taylor expansion of -1 in a 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.078 * [taylor]: Taking taylor expansion of a in a 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (acos a) in a 0.078 * [backup-simplify]: Simplify (acos a) into (acos a) 0.078 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.079 * [taylor]: Taking taylor expansion of -1 in a 0.079 * [backup-simplify]: Simplify -1 into -1 0.079 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.079 * [taylor]: Taking taylor expansion of a in a 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of (acos a) in a 0.079 * [backup-simplify]: Simplify (acos a) into (acos a) 0.079 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.079 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.079 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.079 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [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 0.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [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 0.088 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [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 0.090 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.091 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.091 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.091 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.091 * [taylor]: Taking taylor expansion of -1 in a 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.091 * [taylor]: Taking taylor expansion of a in a 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.091 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.091 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.091 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.091 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.091 * [taylor]: Taking taylor expansion of -1 in a 0.091 * [backup-simplify]: Simplify -1 into -1 0.091 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.091 * [taylor]: Taking taylor expansion of a in a 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.091 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.091 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.092 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.092 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.093 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.094 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.095 * [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 0.095 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.096 * [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 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.098 * [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 0.098 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.100 * [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 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.100 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.100 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.100 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.100 * [taylor]: Taking taylor expansion of a in a 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.100 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.100 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.101 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.101 * [taylor]: Taking taylor expansion of a in a 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.101 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.101 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.102 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.106 * [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 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.107 * [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 0.107 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.109 * [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 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.110 * * * [progress]: simplifying candidates 0.110 * [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))) 0.111 * * [simplify]: iteration 0: 96 enodes 0.129 * * [simplify]: iteration 1: 173 enodes 0.164 * * [simplify]: iteration 2: 466 enodes 0.417 * * [simplify]: iteration 3: 2093 enodes 1.240 * * [simplify]: iteration complete: 5000 enodes 1.240 * * [simplify]: Extracting #0: cost 65 inf + 0 1.243 * * [simplify]: Extracting #1: cost 663 inf + 5 1.251 * * [simplify]: Extracting #2: cost 1308 inf + 415 1.262 * * [simplify]: Extracting #3: cost 640 inf + 6918 1.273 * * [simplify]: Extracting #4: cost 41 inf + 11192 1.283 * * [simplify]: Extracting #5: cost 4 inf + 11512 1.298 * * [simplify]: Extracting #6: cost 0 inf + 11536 1.310 * [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 (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (/ (sqrt (- (acos a))) (cbrt 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 (acos a))) (cbrt (acos a))) (cbrt 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) (sqrt (acos a))) (cbrt 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))) 1.311 * * * [progress]: adding candidates to table 1.490 * * [progress]: iteration 2 / 4 1.490 * * * [progress]: picking best candidate 1.511 * * * * [pick]: Picked # 1.511 * * * [progress]: localizing error 1.521 * * * [progress]: generating rewritten candidates 1.521 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.527 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.527 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.529 * * * [progress]: generating series expansions 1.529 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.529 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 1.529 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.529 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.529 * [taylor]: Taking taylor expansion of -1 in a 1.529 * [backup-simplify]: Simplify -1 into -1 1.529 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.529 * [taylor]: Taking taylor expansion of a in a 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.530 * [taylor]: Taking taylor expansion of (acos a) in a 1.530 * [backup-simplify]: Simplify (acos a) into (acos a) 1.530 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.530 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.530 * [taylor]: Taking taylor expansion of -1 in a 1.530 * [backup-simplify]: Simplify -1 into -1 1.530 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.530 * [taylor]: Taking taylor expansion of a in a 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [taylor]: Taking taylor expansion of (acos a) in a 1.530 * [backup-simplify]: Simplify (acos a) into (acos a) 1.530 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.530 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.530 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.530 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [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 1.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [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 1.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [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 1.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.537 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 1.537 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.537 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.537 * [taylor]: Taking taylor expansion of -1 in a 1.537 * [backup-simplify]: Simplify -1 into -1 1.537 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.537 * [taylor]: Taking taylor expansion of a in a 1.537 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.538 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.538 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.538 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.538 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.538 * [taylor]: Taking taylor expansion of -1 in a 1.538 * [backup-simplify]: Simplify -1 into -1 1.538 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.538 * [taylor]: Taking taylor expansion of a in a 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 1 into 1 1.538 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.538 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.538 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.539 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.539 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.539 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.540 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.540 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.543 * [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 1.543 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.549 * [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 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.551 * [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 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.551 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 1.551 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.551 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.551 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.551 * [taylor]: Taking taylor expansion of a in a 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.551 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.551 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.552 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.552 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.552 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.552 * [taylor]: Taking taylor expansion of a in a 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.552 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.552 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.552 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.552 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.554 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.557 * [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 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.560 * [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 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.560 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.561 * [backup-simplify]: Simplify (expm1 (/ a (- (acos a)))) into (expm1 (* -1 (/ a (acos a)))) 1.561 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 1.561 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.561 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.561 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.561 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.561 * [taylor]: Taking taylor expansion of -1 in a 1.561 * [backup-simplify]: Simplify -1 into -1 1.561 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.561 * [taylor]: Taking taylor expansion of a in a 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of (acos a) in a 1.561 * [backup-simplify]: Simplify (acos a) into (acos a) 1.561 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.561 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.561 * [backup-simplify]: Simplify (exp 0) into 1 1.561 * [taylor]: Taking taylor expansion of 1 in a 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.561 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.561 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.561 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.561 * [taylor]: Taking taylor expansion of -1 in a 1.561 * [backup-simplify]: Simplify -1 into -1 1.561 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.561 * [taylor]: Taking taylor expansion of a in a 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 1 into 1 1.561 * [taylor]: Taking taylor expansion of (acos a) in a 1.561 * [backup-simplify]: Simplify (acos a) into (acos a) 1.561 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.561 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.561 * [backup-simplify]: Simplify (exp 0) into 1 1.561 * [taylor]: Taking taylor expansion of 1 in a 1.561 * [backup-simplify]: Simplify 1 into 1 1.562 * [backup-simplify]: Simplify (- 1) into -1 1.562 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 1.563 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 1.563 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 1.563 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.564 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.565 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 1.565 * [backup-simplify]: Simplify (- 0) into 0 1.565 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 1.566 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.568 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 1.569 * [backup-simplify]: Simplify (- 0) into 0 1.569 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.569 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.570 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 1.571 * [backup-simplify]: Simplify (expm1 (/ (/ 1 a) (- (acos (/ 1 a))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 1.571 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 1.571 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.571 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.571 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.571 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.571 * [taylor]: Taking taylor expansion of -1 in a 1.571 * [backup-simplify]: Simplify -1 into -1 1.571 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.571 * [taylor]: Taking taylor expansion of a in a 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.571 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.571 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.572 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.572 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.572 * [taylor]: Taking taylor expansion of 1 in a 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.572 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.572 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.572 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.572 * [taylor]: Taking taylor expansion of -1 in a 1.572 * [backup-simplify]: Simplify -1 into -1 1.572 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.572 * [taylor]: Taking taylor expansion of a in a 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.573 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.573 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.573 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.573 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.573 * [taylor]: Taking taylor expansion of 1 in a 1.573 * [backup-simplify]: Simplify 1 into 1 1.574 * [backup-simplify]: Simplify (- 1) into -1 1.574 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.574 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (- 0) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 1.580 * [backup-simplify]: Simplify (expm1 (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 1.580 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 1.580 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.580 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.580 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.580 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.580 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.580 * [taylor]: Taking taylor expansion of a in a 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.580 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.580 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.581 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.581 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.581 * [taylor]: Taking taylor expansion of 1 in a 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.581 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.581 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.581 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.581 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.581 * [taylor]: Taking taylor expansion of a in a 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.582 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.582 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.582 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.583 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.583 * [taylor]: Taking taylor expansion of 1 in a 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (- 1) into -1 1.583 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.583 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.584 * [backup-simplify]: Simplify (- 0) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (- 0) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (- 0) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 1.589 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.590 * [backup-simplify]: Simplify (log1p (expm1 (/ a (- (acos a))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 1.590 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 1.590 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 1.590 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 1.590 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 1.590 * [taylor]: Taking taylor expansion of 1 in a 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.590 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.590 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.590 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.590 * [taylor]: Taking taylor expansion of -1 in a 1.590 * [backup-simplify]: Simplify -1 into -1 1.590 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.590 * [taylor]: Taking taylor expansion of a in a 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [taylor]: Taking taylor expansion of (acos a) in a 1.590 * [backup-simplify]: Simplify (acos a) into (acos a) 1.591 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.591 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.591 * [backup-simplify]: Simplify (exp 0) into 1 1.591 * [taylor]: Taking taylor expansion of 1 in a 1.591 * [backup-simplify]: Simplify 1 into 1 1.591 * [backup-simplify]: Simplify (- 1) into -1 1.592 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.592 * [backup-simplify]: Simplify (+ 1 0) into 1 1.592 * [backup-simplify]: Simplify (log 1) into 0 1.593 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 1.593 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 1.593 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 1.593 * [taylor]: Taking taylor expansion of 1 in a 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 1.593 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 1.593 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 1.593 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.593 * [taylor]: Taking taylor expansion of -1 in a 1.593 * [backup-simplify]: Simplify -1 into -1 1.593 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.593 * [taylor]: Taking taylor expansion of a in a 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [taylor]: Taking taylor expansion of (acos a) in a 1.593 * [backup-simplify]: Simplify (acos a) into (acos a) 1.593 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.593 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.593 * [backup-simplify]: Simplify (exp 0) into 1 1.593 * [taylor]: Taking taylor expansion of 1 in a 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (- 1) into -1 1.594 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.595 * [backup-simplify]: Simplify (+ 1 0) into 1 1.595 * [backup-simplify]: Simplify (log 1) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 1.596 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 1.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 1.597 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.597 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.598 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.599 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.600 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.600 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 1.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.605 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 1.605 * [backup-simplify]: Simplify (- 0) into 0 1.605 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.606 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 1.608 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.615 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 1.615 * [backup-simplify]: Simplify (- 0) into 0 1.615 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 1.616 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 1.620 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [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 1.623 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.627 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 1.628 * [backup-simplify]: Simplify (- 0) into 0 1.628 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 1.628 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 1.635 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 1.635 * [backup-simplify]: Simplify 0 into 0 1.636 * [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 1.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.646 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.647 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 1.647 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 1.657 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [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 1.661 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.672 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 1.673 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 1.689 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.690 * [backup-simplify]: Simplify (log1p (expm1 (/ (/ 1 a) (- (acos (/ 1 a)))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 1.690 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 1.690 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.690 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 1.690 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.690 * [taylor]: Taking taylor expansion of 1 in a 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.690 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.690 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.690 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.690 * [taylor]: Taking taylor expansion of -1 in a 1.691 * [backup-simplify]: Simplify -1 into -1 1.691 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.691 * [taylor]: Taking taylor expansion of a in a 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.691 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.691 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.692 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.692 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.692 * [taylor]: Taking taylor expansion of 1 in a 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (- 1) into -1 1.692 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.693 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.693 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 1.693 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.693 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 1.693 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 1.693 * [taylor]: Taking taylor expansion of 1 in a 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 1.693 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.693 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 1.693 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.693 * [taylor]: Taking taylor expansion of -1 in a 1.693 * [backup-simplify]: Simplify -1 into -1 1.693 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.693 * [taylor]: Taking taylor expansion of a in a 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.694 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.694 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.694 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.695 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.695 * [taylor]: Taking taylor expansion of 1 in a 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (- 1) into -1 1.695 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 1.696 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 1.696 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 1.696 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 1.697 * [backup-simplify]: Simplify (- 0) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.701 * [backup-simplify]: Simplify (+ 0 0) into 0 1.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (- 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.707 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- 0) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 1.744 * [backup-simplify]: Simplify (log1p (expm1 (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 1.744 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 1.744 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.745 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 1.745 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.745 * [taylor]: Taking taylor expansion of 1 in a 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.745 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.745 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.745 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.745 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.745 * [taylor]: Taking taylor expansion of a in a 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.745 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.746 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.746 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.747 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.747 * [taylor]: Taking taylor expansion of 1 in a 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [backup-simplify]: Simplify (- 1) into -1 1.747 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.747 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.748 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 1.748 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.748 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 1.748 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 1.748 * [taylor]: Taking taylor expansion of 1 in a 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 1.748 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.748 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 1.748 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.748 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.748 * [taylor]: Taking taylor expansion of a in a 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.748 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.748 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.749 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.749 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.749 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.749 * [taylor]: Taking taylor expansion of 1 in a 1.749 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (- 1) into -1 1.750 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 1.750 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 1.750 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 1.751 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.752 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.754 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (- 0) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.757 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 1.793 * * * [progress]: simplifying candidates 1.795 * [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) (exp (/ a (- (acos a)))) (expm1 (expm1 (/ a (- (acos a))))) (log1p (expm1 (/ a (- (acos a))))) (log (expm1 (/ a (- (acos a))))) (exp (expm1 (/ a (- (acos a))))) (* (cbrt (expm1 (/ a (- (acos a))))) (cbrt (expm1 (/ a (- (acos a)))))) (cbrt (expm1 (/ a (- (acos a))))) (* (* (expm1 (/ a (- (acos a)))) (expm1 (/ a (- (acos a))))) (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (+ 1 (expm1 (/ a (- (acos a))))) (expm1 (log1p (expm1 (/ a (- (acos a)))))) (log1p (log1p (expm1 (/ a (- (acos a)))))) (log (log1p (expm1 (/ a (- (acos a)))))) (exp (log1p (expm1 (/ a (- (acos a)))))) (* (cbrt (log1p (expm1 (/ a (- (acos a)))))) (cbrt (log1p (expm1 (/ a (- (acos a))))))) (cbrt (log1p (expm1 (/ a (- (acos a)))))) (* (* (log1p (expm1 (/ a (- (acos a))))) (log1p (expm1 (/ a (- (acos a)))))) (log1p (expm1 (/ a (- (acos a)))))) (sqrt (log1p (expm1 (/ a (- (acos a)))))) (sqrt (log1p (expm1 (/ a (- (acos a)))))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) (- (exp (* -1 (/ a (acos a)))) 1) (- (exp (* -1 (/ a (acos a)))) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 1.798 * * [simplify]: iteration 0: 131 enodes 1.845 * * [simplify]: iteration 1: 253 enodes 1.920 * * [simplify]: iteration 2: 910 enodes 2.305 * * [simplify]: iteration complete: 5000 enodes 2.305 * * [simplify]: Extracting #0: cost 76 inf + 0 2.306 * * [simplify]: Extracting #1: cost 443 inf + 11 2.311 * * [simplify]: Extracting #2: cost 990 inf + 698 2.322 * * [simplify]: Extracting #3: cost 1562 inf + 4952 2.336 * * [simplify]: Extracting #4: cost 693 inf + 12161 2.358 * * [simplify]: Extracting #5: cost 251 inf + 14676 2.373 * * [simplify]: Extracting #6: cost 5 inf + 16376 2.386 * * [simplify]: Extracting #7: cost 0 inf + 16406 2.395 * [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 3) (pow (- (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) -1) (cbrt a)) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (- (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (cbrt a) (sqrt (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ (cbrt a) (sqrt (acos a))) (cbrt 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)) (exp (/ a (- (acos a)))) (expm1 (expm1 (/ a (- (acos a))))) (/ a (- (acos a))) (log (expm1 (/ a (- (acos a))))) (exp (expm1 (/ a (- (acos a))))) (* (cbrt (expm1 (/ a (- (acos a))))) (cbrt (expm1 (/ a (- (acos a)))))) (cbrt (expm1 (/ a (- (acos a))))) (pow (expm1 (/ a (- (acos a)))) 3) (sqrt (expm1 (/ a (- (acos a))))) (sqrt (expm1 (/ a (- (acos a))))) (+ (expm1 (/ a (- (acos a)))) 1) (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (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))) (- (/ a (acos a))) (- (/ a (acos a))) (fma (/ (* a a) (pow (acos a) 2)) 1/2 (- (fma 1/6 (/ (pow a 3) (pow (acos a) 3)) (/ a (acos a))))) (expm1 (- (/ a (acos a)))) (expm1 (- (/ a (acos a)))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 2.395 * * * [progress]: adding candidates to table 2.764 * * [progress]: iteration 3 / 4 2.764 * * * [progress]: picking best candidate 2.799 * * * * [pick]: Picked # 2.799 * * * [progress]: localizing error 2.812 * * * [progress]: generating rewritten candidates 2.812 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.824 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.837 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.837 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.851 * * * [progress]: generating series expansions 2.852 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.852 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 2.852 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.852 * [taylor]: Taking taylor expansion of -1 in a 2.852 * [backup-simplify]: Simplify -1 into -1 2.852 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.852 * [taylor]: Taking taylor expansion of a in a 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [taylor]: Taking taylor expansion of (acos a) in a 2.852 * [backup-simplify]: Simplify (acos a) into (acos a) 2.852 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.852 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.852 * [taylor]: Taking taylor expansion of -1 in a 2.852 * [backup-simplify]: Simplify -1 into -1 2.852 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.852 * [taylor]: Taking taylor expansion of a in a 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [taylor]: Taking taylor expansion of (acos a) in a 2.852 * [backup-simplify]: Simplify (acos a) into (acos a) 2.852 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.852 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.852 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.852 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.853 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.859 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.859 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 2.860 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.860 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.860 * [taylor]: Taking taylor expansion of -1 in a 2.860 * [backup-simplify]: Simplify -1 into -1 2.860 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.860 * [taylor]: Taking taylor expansion of a in a 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.860 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.860 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.860 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.860 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.860 * [taylor]: Taking taylor expansion of -1 in a 2.860 * [backup-simplify]: Simplify -1 into -1 2.860 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.860 * [taylor]: Taking taylor expansion of a in a 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.860 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.860 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.861 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.861 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.862 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.863 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.865 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.867 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.869 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.869 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 2.869 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.869 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.869 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.869 * [taylor]: Taking taylor expansion of a in a 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.869 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.869 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.870 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.870 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.870 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.870 * [taylor]: Taking taylor expansion of a in a 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.870 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.870 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.870 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.870 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.871 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.879 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 2.879 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 2.879 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.879 * [taylor]: Taking taylor expansion of (acos a) in a 2.879 * [backup-simplify]: Simplify (acos a) into (acos a) 2.879 * [taylor]: Taking taylor expansion of a in a 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.879 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.879 * [taylor]: Taking taylor expansion of (acos a) in a 2.879 * [backup-simplify]: Simplify (acos a) into (acos a) 2.879 * [taylor]: Taking taylor expansion of a in a 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.879 * [backup-simplify]: Simplify (acos a) into (acos a) 2.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 2.890 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* a (acos (/ 1 a))) 2.890 * [approximate]: Taking taylor expansion of (* a (acos (/ 1 a))) in (a) around 0 2.890 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.890 * [taylor]: Taking taylor expansion of a in a 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.890 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.890 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.890 * [taylor]: Taking taylor expansion of a in a 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.891 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.891 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.891 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.893 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 2.903 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 2.903 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 2.903 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.903 * [taylor]: Taking taylor expansion of -1 in a 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.903 * [taylor]: Taking taylor expansion of a in a 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.903 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.903 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 2.903 * [taylor]: Taking taylor expansion of -1 in a 2.903 * [backup-simplify]: Simplify -1 into -1 2.903 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.903 * [taylor]: Taking taylor expansion of a in a 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.903 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.903 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.904 * [backup-simplify]: Simplify (* -1 0) into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.905 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 2.905 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.907 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.909 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 2.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.927 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos a) a)))) into (expm1 (* -1 (/ a (acos a)))) 2.927 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 2.927 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.927 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.927 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.927 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.927 * [taylor]: Taking taylor expansion of -1 in a 2.927 * [backup-simplify]: Simplify -1 into -1 2.927 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.927 * [taylor]: Taking taylor expansion of a in a 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (acos a) in a 2.927 * [backup-simplify]: Simplify (acos a) into (acos a) 2.927 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.927 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.927 * [backup-simplify]: Simplify (exp 0) into 1 2.927 * [taylor]: Taking taylor expansion of 1 in a 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.928 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.928 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.928 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.928 * [taylor]: Taking taylor expansion of -1 in a 2.928 * [backup-simplify]: Simplify -1 into -1 2.928 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.928 * [taylor]: Taking taylor expansion of a in a 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [taylor]: Taking taylor expansion of (acos a) in a 2.928 * [backup-simplify]: Simplify (acos a) into (acos a) 2.928 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.928 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.928 * [backup-simplify]: Simplify (exp 0) into 1 2.928 * [taylor]: Taking taylor expansion of 1 in a 2.928 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (- 1) into -1 2.929 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 2.930 * [backup-simplify]: Simplify (- 0) into 0 2.930 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 2.930 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 2.930 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.931 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.932 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 2.932 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 2.933 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.934 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.935 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.936 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.937 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 2.937 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 2.937 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 2.937 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.937 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.937 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.937 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.937 * [taylor]: Taking taylor expansion of -1 in a 2.937 * [backup-simplify]: Simplify -1 into -1 2.937 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.937 * [taylor]: Taking taylor expansion of a in a 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.938 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.938 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.938 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.938 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.939 * [taylor]: Taking taylor expansion of 1 in a 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 2.939 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.939 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 2.939 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.939 * [taylor]: Taking taylor expansion of -1 in a 2.939 * [backup-simplify]: Simplify -1 into -1 2.939 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.939 * [taylor]: Taking taylor expansion of a in a 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.939 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.939 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.940 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.940 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 2.940 * [taylor]: Taking taylor expansion of 1 in a 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (- 1) into -1 2.940 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.941 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 2.941 * [backup-simplify]: Simplify (- 0) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (- 0) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 2.950 * [backup-simplify]: Simplify (expm1 (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a)))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 2.950 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 2.950 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.950 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.950 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.950 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.950 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.950 * [taylor]: Taking taylor expansion of a in a 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.950 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.950 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.950 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.951 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.951 * [taylor]: Taking taylor expansion of 1 in a 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 2.951 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.951 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 2.951 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.951 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.951 * [taylor]: Taking taylor expansion of a in a 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.951 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.951 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.951 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.951 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 2.951 * [taylor]: Taking taylor expansion of 1 in a 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (- 1) into -1 2.952 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.952 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 2.952 * [backup-simplify]: Simplify (- 0) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 2.955 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.955 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos a) a))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 2.955 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 2.955 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 2.955 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 2.955 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 2.955 * [taylor]: Taking taylor expansion of 1 in a 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.955 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.955 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.955 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.955 * [taylor]: Taking taylor expansion of -1 in a 2.955 * [backup-simplify]: Simplify -1 into -1 2.955 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.955 * [taylor]: Taking taylor expansion of a in a 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (acos a) in a 2.956 * [backup-simplify]: Simplify (acos a) into (acos a) 2.956 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.956 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.956 * [backup-simplify]: Simplify (exp 0) into 1 2.956 * [taylor]: Taking taylor expansion of 1 in a 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (- 1) into -1 2.956 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.956 * [backup-simplify]: Simplify (+ 1 0) into 1 2.957 * [backup-simplify]: Simplify (log 1) into 0 2.957 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 2.957 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 2.957 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 2.957 * [taylor]: Taking taylor expansion of 1 in a 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 2.957 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 2.957 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 2.957 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.957 * [taylor]: Taking taylor expansion of -1 in a 2.957 * [backup-simplify]: Simplify -1 into -1 2.957 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.957 * [taylor]: Taking taylor expansion of a in a 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of (acos a) in a 2.957 * [backup-simplify]: Simplify (acos a) into (acos a) 2.957 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.957 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.957 * [backup-simplify]: Simplify (exp 0) into 1 2.957 * [taylor]: Taking taylor expansion of 1 in a 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (- 1) into -1 2.958 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.958 * [backup-simplify]: Simplify (+ 1 0) into 1 2.958 * [backup-simplify]: Simplify (log 1) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 2.959 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 2.959 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.959 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.960 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.960 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.961 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.961 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 2.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.963 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.964 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 2.965 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.967 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.968 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.969 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 2.969 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 2.971 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.975 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.976 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 2.976 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 2.981 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.984 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.991 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 2.992 * [backup-simplify]: Simplify (- 0) into 0 2.992 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 2.993 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 3.004 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.005 * [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 3.007 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 3.013 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 3.014 * [backup-simplify]: Simplify (- 0) into 0 3.014 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 3.014 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 3.023 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 3.023 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 3.023 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 3.023 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 3.024 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 3.024 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 3.024 * [taylor]: Taking taylor expansion of 1 in a 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 3.024 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 3.024 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 3.024 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.024 * [taylor]: Taking taylor expansion of -1 in a 3.024 * [backup-simplify]: Simplify -1 into -1 3.024 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.024 * [taylor]: Taking taylor expansion of a in a 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.024 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.024 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.024 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.024 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 3.024 * [taylor]: Taking taylor expansion of 1 in a 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (- 1) into -1 3.025 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 3.025 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 3.025 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 3.025 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 3.025 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 3.025 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 3.025 * [taylor]: Taking taylor expansion of 1 in a 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 3.025 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 3.025 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 3.025 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.025 * [taylor]: Taking taylor expansion of -1 in a 3.025 * [backup-simplify]: Simplify -1 into -1 3.025 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.025 * [taylor]: Taking taylor expansion of a in a 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.025 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.025 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.025 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.026 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.026 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 3.026 * [taylor]: Taking taylor expansion of 1 in a 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (- 1) into -1 3.026 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 3.026 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 3.027 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 3.027 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 3.027 * [backup-simplify]: Simplify (- 0) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (- 0) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.032 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (- 0) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (+ 0 0) into 0 3.038 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (- 0) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (- 0) into 0 3.049 * [backup-simplify]: Simplify (+ 0 0) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 3.064 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 3.064 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 3.064 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 3.064 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 3.065 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 3.065 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 3.065 * [taylor]: Taking taylor expansion of 1 in a 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 3.065 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 3.065 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 3.065 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.065 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.065 * [taylor]: Taking taylor expansion of a in a 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.065 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.065 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.065 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.065 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 3.065 * [taylor]: Taking taylor expansion of 1 in a 3.065 * [backup-simplify]: Simplify 1 into 1 3.066 * [backup-simplify]: Simplify (- 1) into -1 3.066 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 3.066 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 3.066 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 3.066 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 3.066 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 3.066 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 3.066 * [taylor]: Taking taylor expansion of 1 in a 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 3.066 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 3.066 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 3.066 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.066 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.066 * [taylor]: Taking taylor expansion of a in a 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 1 into 1 3.066 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.066 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.066 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.067 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.067 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 3.067 * [taylor]: Taking taylor expansion of 1 in a 3.067 * [backup-simplify]: Simplify 1 into 1 3.067 * [backup-simplify]: Simplify (- 1) into -1 3.067 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 3.067 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 3.068 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 3.068 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 3.068 * [backup-simplify]: Simplify (- 0) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.068 * [backup-simplify]: Simplify (+ 0 0) into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 3.069 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (- 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify (- 0) into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.072 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 3.074 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (- 0) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.075 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (- 0) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.079 * [backup-simplify]: Simplify (+ 0 0) into 0 3.084 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (- 0) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 3.095 * * * [progress]: simplifying candidates 3.098 * [simplify]: Simplifying: (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) (- 1) (- (log (- (/ (acos a) a)))) (- 0 (log (- (/ (acos a) a)))) (- (log 1) (log (- (/ (acos a) a)))) (log (/ 1 (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (/ (* (* 1 1) 1) (* (* (- (/ (acos a) a)) (- (/ (acos a) a))) (- (/ (acos a) a)))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (* (* (/ 1 (- (/ (acos a) a))) (/ 1 (- (/ (acos a) a)))) (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) (- 1) (- (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ (cbrt 1) (cbrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (acos a) a)))) (/ (cbrt 1) (sqrt (- (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ (cbrt 1) (cbrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (/ (acos a) a)))) (/ (cbrt 1) (sqrt (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ (sqrt (acos a)) 1))) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ (cbrt 1) (- (cbrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (acos a) a))) (/ (cbrt 1) (- (sqrt (/ (acos a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (- (/ (cbrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ (cbrt 1) (- (/ (cbrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) (sqrt a))) (/ (cbrt 1) (- (/ (sqrt (acos a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (acos a)) 1)) (/ (cbrt 1) (- (/ (sqrt (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (/ (acos a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (- (/ (acos a) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (/ (acos a) a))) (/ (* (cbrt 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(cbrt (acos 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)))) (* -1 (* (cbrt a) (cbrt a))) (* -1 (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ (/ 1 (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (* (/ 1 (cbrt (acos a))) (/ (sqrt a) (cbrt (acos 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) 3) (pow a 3)) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (- (acos a)) (- a) (/ PI (* a 2)) (/ (asin a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (cbrt (acos a)) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (/ (cbrt (acos a)) a) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (/ (sqrt (acos a)) (cbrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (sqrt (acos a)) (/ (sqrt (acos a)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ 1 (sqrt a)) (/ (acos a) (sqrt a)) 1 (/ (acos a) a) (/ 1 a) (/ a (acos a)) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (exp (/ 1 (/ (- (acos a)) a))) (expm1 (expm1 (/ 1 (/ (- (acos a)) a)))) (/ 1 (/ (- (acos a)) a)) (log (expm1 (/ 1 (/ (- (acos a)) a)))) (exp (expm1 (/ 1 (/ (- (acos a)) a)))) (* (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a))))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (pow (expm1 (/ 1 (/ (- (acos a)) a))) 3) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (+ (expm1 (/ 1 (/ (- (acos a)) a))) 1) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (* (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))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ (* (* a a) 1/2) (pow (acos a) 2)) (fma 1/6 (/ (pow a 3) (pow (acos a) 3)) (/ a (acos a)))) (expm1 (/ (- a) (acos a))) (expm1 (/ (- a) (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 4.360 * * * [progress]: adding candidates to table 5.064 * * [progress]: iteration 4 / 4 5.064 * * * [progress]: picking best candidate 5.094 * * * * [pick]: Picked # 5.094 * * * [progress]: localizing error 5.107 * * * [progress]: generating rewritten candidates 5.108 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 5.120 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.144 * * * [progress]: generating series expansions 5.144 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 5.144 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 5.144 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 5.144 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.144 * [taylor]: Taking taylor expansion of (acos a) in a 5.144 * [backup-simplify]: Simplify (acos a) into (acos a) 5.144 * [taylor]: Taking taylor expansion of a in a 5.144 * [backup-simplify]: Simplify 0 into 0 5.144 * [backup-simplify]: Simplify 1 into 1 5.144 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.144 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.144 * [taylor]: Taking taylor expansion of (acos a) in a 5.144 * [backup-simplify]: Simplify (acos a) into (acos a) 5.145 * [taylor]: Taking taylor expansion of a in a 5.145 * [backup-simplify]: Simplify 0 into 0 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.145 * [backup-simplify]: Simplify (acos a) into (acos a) 5.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify 0 into 0 5.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.148 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.150 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.159 * [backup-simplify]: Simplify 0 into 0 5.159 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 5.159 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ 1 (/ 1 a))) into (* a (acos (/ 1 a))) 5.159 * [approximate]: Taking taylor expansion of (* a (acos (/ 1 a))) in (a) around 0 5.159 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.159 * [taylor]: Taking taylor expansion of a in a 5.159 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.160 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.160 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.160 * [taylor]: Taking taylor expansion of a in a 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.160 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.160 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.160 * [backup-simplify]: Simplify 0 into 0 5.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.161 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 5.163 * [backup-simplify]: Simplify 0 into 0 5.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 5.165 * [backup-simplify]: Simplify 0 into 0 5.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 5.167 * [backup-simplify]: Simplify 0 into 0 5.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 5.169 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 5.172 * [backup-simplify]: Simplify 0 into 0 5.172 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 5.173 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 5.173 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 5.173 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.173 * [taylor]: Taking taylor expansion of -1 in a 5.173 * [backup-simplify]: Simplify -1 into -1 5.173 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.173 * [taylor]: Taking taylor expansion of a in a 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.173 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.173 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.173 * [taylor]: Taking taylor expansion of -1 in a 5.173 * [backup-simplify]: Simplify -1 into -1 5.173 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.173 * [taylor]: Taking taylor expansion of a in a 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.173 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.173 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.174 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.174 * [backup-simplify]: Simplify (* -1 0) into 0 5.174 * [backup-simplify]: Simplify 0 into 0 5.175 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.175 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 5.175 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 5.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 5.177 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 5.179 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.183 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 5.183 * [backup-simplify]: Simplify 0 into 0 5.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 5.187 * [backup-simplify]: Simplify 0 into 0 5.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 5.192 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 5.198 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.198 * [backup-simplify]: Simplify (/ 1 (- (* (acos a) (/ 1 a)))) into (* -1 (/ a (acos a))) 5.198 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.198 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.198 * [taylor]: Taking taylor expansion of -1 in a 5.198 * [backup-simplify]: Simplify -1 into -1 5.198 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.198 * [taylor]: Taking taylor expansion of a in a 5.198 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [taylor]: Taking taylor expansion of (acos a) in a 5.199 * [backup-simplify]: Simplify (acos a) into (acos a) 5.199 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.199 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.199 * [taylor]: Taking taylor expansion of -1 in a 5.199 * [backup-simplify]: Simplify -1 into -1 5.199 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.199 * [taylor]: Taking taylor expansion of a in a 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [taylor]: Taking taylor expansion of (acos a) in a 5.199 * [backup-simplify]: Simplify (acos a) into (acos a) 5.199 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.199 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.199 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.200 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.201 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.201 * [backup-simplify]: Simplify 0 into 0 5.201 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.203 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.203 * [backup-simplify]: Simplify 0 into 0 5.203 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.205 * [backup-simplify]: Simplify 0 into 0 5.205 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.207 * [backup-simplify]: Simplify 0 into 0 5.207 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.210 * [backup-simplify]: Simplify 0 into 0 5.210 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.212 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))) into (/ -1 (* a (acos (/ 1 a)))) 5.212 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 5.212 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.212 * [taylor]: Taking taylor expansion of -1 in a 5.212 * [backup-simplify]: Simplify -1 into -1 5.212 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.212 * [taylor]: Taking taylor expansion of a in a 5.212 * [backup-simplify]: Simplify 0 into 0 5.212 * [backup-simplify]: Simplify 1 into 1 5.212 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.212 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.212 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.213 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.213 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.213 * [taylor]: Taking taylor expansion of -1 in a 5.213 * [backup-simplify]: Simplify -1 into -1 5.213 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.213 * [taylor]: Taking taylor expansion of a in a 5.213 * [backup-simplify]: Simplify 0 into 0 5.213 * [backup-simplify]: Simplify 1 into 1 5.213 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.213 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.213 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.213 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.213 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 5.214 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.214 * [backup-simplify]: Simplify 0 into 0 5.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 5.215 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.216 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 5.217 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.217 * [backup-simplify]: Simplify 0 into 0 5.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 5.218 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.218 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 5.222 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.222 * [backup-simplify]: Simplify 0 into 0 5.222 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.223 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 5.223 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.223 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.223 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.223 * [taylor]: Taking taylor expansion of a in a 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.223 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.223 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.223 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.223 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.223 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.223 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.223 * [taylor]: Taking taylor expansion of a in a 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.223 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.223 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.224 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.224 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.225 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.227 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.228 * [backup-simplify]: Simplify 0 into 0 5.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.230 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.232 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.233 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) into (expm1 (* -1 (/ a (acos a)))) 5.233 * [approximate]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in (a) around 0 5.233 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 5.233 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 5.233 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 5.233 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.233 * [taylor]: Taking taylor expansion of -1 in a 5.233 * [backup-simplify]: Simplify -1 into -1 5.233 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.233 * [taylor]: Taking taylor expansion of a in a 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [taylor]: Taking taylor expansion of (acos a) in a 5.233 * [backup-simplify]: Simplify (acos a) into (acos a) 5.233 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.233 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.233 * [backup-simplify]: Simplify (exp 0) into 1 5.233 * [taylor]: Taking taylor expansion of 1 in a 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 5.233 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 5.233 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 5.233 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.233 * [taylor]: Taking taylor expansion of -1 in a 5.233 * [backup-simplify]: Simplify -1 into -1 5.233 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.233 * [taylor]: Taking taylor expansion of a in a 5.233 * [backup-simplify]: Simplify 0 into 0 5.233 * [backup-simplify]: Simplify 1 into 1 5.233 * [taylor]: Taking taylor expansion of (acos a) in a 5.233 * [backup-simplify]: Simplify (acos a) into (acos a) 5.233 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.233 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.233 * [backup-simplify]: Simplify (exp 0) into 1 5.233 * [taylor]: Taking taylor expansion of 1 in a 5.233 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (- 1) into -1 5.234 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 5.235 * [backup-simplify]: Simplify (- 0) into 0 5.235 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 5.235 * [backup-simplify]: Simplify (- (/ 1 (acos a))) into (- (/ 1 (acos a))) 5.235 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.235 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.236 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 5.236 * [backup-simplify]: Simplify (- 0) into 0 5.236 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 5.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow (acos a) 2))) into (/ 1/2 (pow (acos a) 2)) 5.237 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.240 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 5.240 * [backup-simplify]: Simplify (- 0) into 0 5.240 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 5.241 * [backup-simplify]: Simplify (- (* 1/6 (/ 1 (pow (acos a) 3)))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 5.242 * [backup-simplify]: Simplify (+ (* (- (* 1/6 (/ 1 (pow (acos a) 3)))) (pow a 3)) (+ (* (/ 1/2 (pow (acos a) 2)) (pow a 2)) (* (- (/ 1 (acos a))) a))) into (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) 5.242 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a)))))) into (expm1 (/ -1 (* a (acos (/ 1 a))))) 5.242 * [approximate]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in (a) around 0 5.242 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 5.243 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.243 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 5.243 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.243 * [taylor]: Taking taylor expansion of -1 in a 5.243 * [backup-simplify]: Simplify -1 into -1 5.243 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.243 * [taylor]: Taking taylor expansion of a in a 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 1 into 1 5.243 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.243 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.243 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.244 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.244 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.244 * [taylor]: Taking taylor expansion of 1 in a 5.244 * [backup-simplify]: Simplify 1 into 1 5.244 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 5.244 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.244 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 5.244 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.244 * [taylor]: Taking taylor expansion of -1 in a 5.244 * [backup-simplify]: Simplify -1 into -1 5.245 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.245 * [taylor]: Taking taylor expansion of a in a 5.245 * [backup-simplify]: Simplify 0 into 0 5.245 * [backup-simplify]: Simplify 1 into 1 5.245 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.245 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.245 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.246 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.246 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.246 * [taylor]: Taking taylor expansion of 1 in a 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [backup-simplify]: Simplify (- 1) into -1 5.247 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.247 * [backup-simplify]: Simplify (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.247 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify (- 0) into 0 5.248 * [backup-simplify]: Simplify (+ 0 0) into 0 5.248 * [backup-simplify]: Simplify 0 into 0 5.249 * [backup-simplify]: Simplify (- 0) into 0 5.249 * [backup-simplify]: Simplify (+ 0 0) into 0 5.249 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify (- 0) into 0 5.250 * [backup-simplify]: Simplify (+ 0 0) into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.251 * [backup-simplify]: Simplify (+ 0 0) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- 0) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify (- (exp (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a)))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 5.252 * [backup-simplify]: Simplify (expm1 (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a))))))) into (expm1 (/ 1 (* a (acos (/ -1 a))))) 5.252 * [approximate]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in (a) around 0 5.253 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 5.253 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.253 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 5.253 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.253 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.253 * [taylor]: Taking taylor expansion of a in a 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.253 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.253 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.254 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.254 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.254 * [taylor]: Taking taylor expansion of 1 in a 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 5.254 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.254 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 5.254 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.254 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.254 * [taylor]: Taking taylor expansion of a in a 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.254 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.254 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.254 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.255 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.255 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.255 * [taylor]: Taking taylor expansion of 1 in a 5.255 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (- 1) into -1 5.255 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.255 * [backup-simplify]: Simplify (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.256 * [backup-simplify]: Simplify (+ 0 0) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.256 * [backup-simplify]: Simplify (+ 0 0) into 0 5.256 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (- 0) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (- 0) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (- 0) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a))))))) 1) into (- (exp (* -1 (/ a (acos a)))) 1) 5.259 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.259 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) into (log1p (expm1 (* -1 (/ a (acos a))))) 5.259 * [approximate]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in (a) around 0 5.259 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 5.259 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 5.259 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 5.259 * [taylor]: Taking taylor expansion of 1 in a 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 5.259 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 5.259 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 5.259 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.259 * [taylor]: Taking taylor expansion of -1 in a 5.259 * [backup-simplify]: Simplify -1 into -1 5.259 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.259 * [taylor]: Taking taylor expansion of a in a 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [taylor]: Taking taylor expansion of (acos a) in a 5.259 * [backup-simplify]: Simplify (acos a) into (acos a) 5.259 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.259 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.259 * [backup-simplify]: Simplify (exp 0) into 1 5.259 * [taylor]: Taking taylor expansion of 1 in a 5.259 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (- 1) into -1 5.260 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.260 * [backup-simplify]: Simplify (+ 1 0) into 1 5.260 * [backup-simplify]: Simplify (log 1) into 0 5.260 * [taylor]: Taking taylor expansion of (log1p (expm1 (* -1 (/ a (acos a))))) in a 5.261 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (* -1 (/ a (acos a)))))) 5.261 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (* -1 (/ a (acos a))))) in a 5.261 * [taylor]: Taking taylor expansion of 1 in a 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [taylor]: Taking taylor expansion of (expm1 (* -1 (/ a (acos a)))) in a 5.261 * [taylor]: Rewrote expression to (- (exp (* -1 (/ a (acos a)))) 1) 5.261 * [taylor]: Taking taylor expansion of (exp (* -1 (/ a (acos a)))) in a 5.261 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.261 * [taylor]: Taking taylor expansion of -1 in a 5.261 * [backup-simplify]: Simplify -1 into -1 5.261 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.261 * [taylor]: Taking taylor expansion of a in a 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [taylor]: Taking taylor expansion of (acos a) in a 5.261 * [backup-simplify]: Simplify (acos a) into (acos a) 5.261 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.261 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.261 * [backup-simplify]: Simplify (exp 0) into 1 5.261 * [taylor]: Taking taylor expansion of 1 in a 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (- 1) into -1 5.261 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.262 * [backup-simplify]: Simplify (+ 1 0) into 1 5.262 * [backup-simplify]: Simplify (log 1) into 0 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 1) 1)))) into (/ -1 (acos a)) 5.262 * [backup-simplify]: Simplify (- 0) into 0 5.263 * [backup-simplify]: Simplify (+ (/ -1 (acos a)) 0) into (- (/ 1 (acos a))) 5.263 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (acos a)))) into (- (/ 1 (acos a))) 5.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1)) (pow 1 1)))) 1) into (/ -1 (acos a)) 5.263 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.263 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.264 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.264 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/2 (pow (acos a) 2)) 5.264 * [backup-simplify]: Simplify (- 0) into 0 5.265 * [backup-simplify]: Simplify (+ (/ 1/2 (pow (acos a) 2)) 0) into (* 1/2 (/ 1 (pow (acos a) 2))) 5.265 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow (acos a) 2)))) into (* 1/2 (/ 1 (pow (acos a) 2))) 5.266 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 1)))) 2) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.267 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/6 (pow (acos a) 3)) 5.268 * [backup-simplify]: Simplify (- 0) into 0 5.268 * [backup-simplify]: Simplify (+ (/ -1/6 (pow (acos a) 3)) 0) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 5.268 * [backup-simplify]: Simplify (+ 0 (- (* 1/6 (/ 1 (pow (acos a) 3))))) into (- (* 1/6 (/ 1 (pow (acos a) 3)))) 5.272 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 1)))) 6) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 4) 24)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/24 (pow (acos a) 4)) 5.275 * [backup-simplify]: Simplify (- 0) into 0 5.275 * [backup-simplify]: Simplify (+ (/ 1/24 (pow (acos a) 4)) 0) into (* 1/24 (/ 1 (pow (acos a) 4))) 5.275 * [backup-simplify]: Simplify (+ 0 (* 1/24 (/ 1 (pow (acos a) 4)))) into (* 1/24 (/ 1 (pow (acos a) 4))) 5.278 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 1)))) 24) into 0 5.278 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.282 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 5) 120)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/120 (pow (acos a) 5)) 5.282 * [backup-simplify]: Simplify (- 0) into 0 5.282 * [backup-simplify]: Simplify (+ (/ -1/120 (pow (acos a) 5)) 0) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 5.282 * [backup-simplify]: Simplify (+ 0 (- (* 1/120 (/ 1 (pow (acos a) 5))))) into (- (* 1/120 (/ 1 (pow (acos a) 5)))) 5.289 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 1)))) 120) into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.292 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.299 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 6) 720)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (/ 1/720 (pow (acos a) 6)) 5.299 * [backup-simplify]: Simplify (- 0) into 0 5.299 * [backup-simplify]: Simplify (+ (/ 1/720 (pow (acos a) 6)) 0) into (* 1/720 (/ 1 (pow (acos a) 6))) 5.300 * [backup-simplify]: Simplify (+ 0 (* 1/720 (/ 1 (pow (acos a) 6)))) into (* 1/720 (/ 1 (pow (acos a) 6))) 5.306 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 1)))) 720) into 0 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.314 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (/ -1 (acos a)) 7) 5040)) (* (/ (pow (/ -1 (acos a)) 5) 120) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 3) 6)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (/ -1 (acos a)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (/ -1/5040 (pow (acos a) 7)) 5.315 * [backup-simplify]: Simplify (- 0) into 0 5.315 * [backup-simplify]: Simplify (+ (/ -1/5040 (pow (acos a) 7)) 0) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 5.315 * [backup-simplify]: Simplify (+ 0 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) into (- (* 1/5040 (/ 1 (pow (acos a) 7)))) 5.324 * [backup-simplify]: Simplify (/ (+ (* 720 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 5) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 4) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 3) 1 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 2) (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 2) 1 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 (- (* 1/6 (/ 1 (pow (acos a) 3))))) 1) (pow (* 24 (* 1/24 (/ 1 (pow (acos a) 4)))) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow (acos a) 2)))) 1) 1 1 (pow (* 120 (- (* 1/120 (/ 1 (pow (acos a) 5))))) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 (- (/ 1 (acos a)))) 1) 1 1 1 1 (pow (* 720 (* 1/720 (/ 1 (pow (acos a) 6)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 (- (* 1/5040 (/ 1 (pow (acos a) 7))))) 1)) (pow 1 1)))) 5040) into 0 5.324 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.324 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))))) into (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) 5.324 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in (a) around 0 5.325 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 5.325 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 5.325 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 5.325 * [taylor]: Taking taylor expansion of 1 in a 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 5.325 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.325 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 5.325 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.325 * [taylor]: Taking taylor expansion of -1 in a 5.325 * [backup-simplify]: Simplify -1 into -1 5.325 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.325 * [taylor]: Taking taylor expansion of a in a 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.325 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.325 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.325 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.325 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.325 * [taylor]: Taking taylor expansion of 1 in a 5.325 * [backup-simplify]: Simplify 1 into 1 5.326 * [backup-simplify]: Simplify (- 1) into -1 5.326 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.326 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.326 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 5.326 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 5.326 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a))))))) 5.326 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ -1 (* a (acos (/ 1 a)))))) in a 5.326 * [taylor]: Taking taylor expansion of 1 in a 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of (expm1 (/ -1 (* a (acos (/ 1 a))))) in a 5.326 * [taylor]: Rewrote expression to (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.326 * [taylor]: Taking taylor expansion of (exp (/ -1 (* a (acos (/ 1 a))))) in a 5.326 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.326 * [taylor]: Taking taylor expansion of -1 in a 5.326 * [backup-simplify]: Simplify -1 into -1 5.326 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.326 * [taylor]: Taking taylor expansion of a in a 5.327 * [backup-simplify]: Simplify 0 into 0 5.327 * [backup-simplify]: Simplify 1 into 1 5.327 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.327 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.327 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.327 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.327 * [backup-simplify]: Simplify (exp (/ -1 (* a (acos (/ 1 a))))) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.328 * [taylor]: Taking taylor expansion of 1 in a 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [backup-simplify]: Simplify (- 1) into -1 5.328 * [backup-simplify]: Simplify (+ (exp (/ -1 (* a (acos (/ 1 a))))) -1) into (- (exp (/ -1 (* a (acos (/ 1 a))))) 1) 5.328 * [backup-simplify]: Simplify (+ 1 (- (exp (/ -1 (* a (acos (/ 1 a))))) 1)) into (exp (/ -1 (* a (acos (/ 1 a))))) 5.329 * [backup-simplify]: Simplify (log (exp (/ -1 (* a (acos (/ 1 a)))))) into (/ -1 (* a (acos (/ 1 a)))) 5.329 * [backup-simplify]: Simplify (/ -1 (* a (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 5.329 * [backup-simplify]: Simplify (- 0) into 0 5.329 * [backup-simplify]: Simplify (+ 0 0) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.331 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 1) into 0 5.331 * [backup-simplify]: Simplify 0 into 0 5.331 * [backup-simplify]: Simplify (- 0) into 0 5.332 * [backup-simplify]: Simplify (+ 0 0) into 0 5.332 * [backup-simplify]: Simplify (+ 0 0) into 0 5.334 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 2) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify (- 0) into 0 5.335 * [backup-simplify]: Simplify (+ 0 0) into 0 5.335 * [backup-simplify]: Simplify (+ 0 0) into 0 5.339 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 6) into 0 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify (- 0) into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 24) into 0 5.344 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify (- 0) into 0 5.345 * [backup-simplify]: Simplify (+ 0 0) into 0 5.345 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 120) into 0 5.350 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (- 0) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.351 * [backup-simplify]: Simplify (+ 0 0) into 0 5.360 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ -1 (* a (acos (/ 1 a))))) 1)))) 720) into 0 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify (/ -1 (* (/ 1 a) (acos (/ 1 (/ 1 a))))) into (* -1 (/ a (acos a))) 5.360 * [backup-simplify]: Simplify (log1p (expm1 (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))))) into (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) 5.360 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in (a) around 0 5.360 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 5.360 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 5.360 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 5.360 * [taylor]: Taking taylor expansion of 1 in a 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 5.360 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.360 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 5.360 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.360 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.360 * [taylor]: Taking taylor expansion of a in a 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.360 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.360 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.361 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.361 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.361 * [taylor]: Taking taylor expansion of 1 in a 5.361 * [backup-simplify]: Simplify 1 into 1 5.361 * [backup-simplify]: Simplify (- 1) into -1 5.361 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.361 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.362 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 5.362 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 5.362 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a))))))) 5.362 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1 (* a (acos (/ -1 a)))))) in a 5.362 * [taylor]: Taking taylor expansion of 1 in a 5.362 * [backup-simplify]: Simplify 1 into 1 5.362 * [taylor]: Taking taylor expansion of (expm1 (/ 1 (* a (acos (/ -1 a))))) in a 5.362 * [taylor]: Rewrote expression to (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.362 * [taylor]: Taking taylor expansion of (exp (/ 1 (* a (acos (/ -1 a))))) in a 5.362 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.362 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.362 * [taylor]: Taking taylor expansion of a in a 5.362 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify 1 into 1 5.362 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.362 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.362 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.362 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.363 * [backup-simplify]: Simplify (exp (/ 1 (* a (acos (/ -1 a))))) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.363 * [taylor]: Taking taylor expansion of 1 in a 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (- 1) into -1 5.363 * [backup-simplify]: Simplify (+ (exp (/ 1 (* a (acos (/ -1 a))))) -1) into (- (exp (/ 1 (* a (acos (/ -1 a))))) 1) 5.363 * [backup-simplify]: Simplify (+ 1 (- (exp (/ 1 (* a (acos (/ -1 a))))) 1)) into (exp (/ 1 (* a (acos (/ -1 a))))) 5.363 * [backup-simplify]: Simplify (log (exp (/ 1 (* a (acos (/ -1 a)))))) into (/ 1 (* a (acos (/ -1 a)))) 5.363 * [backup-simplify]: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) 5.364 * [backup-simplify]: Simplify (- 0) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 1) into 0 5.365 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify (- 0) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.365 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 2) into 0 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify (- 0) into 0 5.367 * [backup-simplify]: Simplify (+ 0 0) into 0 5.367 * [backup-simplify]: Simplify (+ 0 0) into 0 5.369 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 6) into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify (- 0) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.370 * [backup-simplify]: Simplify (+ 0 0) into 0 5.376 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 24) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify (- 0) into 0 5.376 * [backup-simplify]: Simplify (+ 0 0) into 0 5.377 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 120) into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (- 0) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.396 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ 1 (* a (acos (/ -1 a))))) 1)))) 720) into 0 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- a)) (acos (/ -1 (/ 1 (- a)))))) into (* -1 (/ a (acos a))) 5.397 * * * [progress]: simplifying candidates 5.398 * [simplify]: Simplifying: (expm1 (* (acos a) (/ 1 a))) (log1p (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (acos a) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt 1) (sqrt a))) (* (acos a) (/ (sqrt 1) 1)) (* (acos a) (/ 1 (* (cbrt a) (cbrt a)))) (* (acos a) (/ 1 (sqrt a))) (* (acos a) (/ 1 1)) (* (acos a) 1) (* (acos a) 1) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (acos a) 1) (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (log1p (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (log (- (* (acos a) (/ 1 a))))) (- 0 (log (- (* (acos a) (/ 1 a))))) (- (log 1) (log (- (* (acos a) (/ 1 a))))) (log (/ 1 (- (* (acos a) (/ 1 a))))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (/ (* (* 1 1) 1) (* (* (- (* (acos a) (/ 1 a))) (- (* (acos a) (/ 1 a)))) (- (* (acos a) (/ 1 a))))) (* (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (* (* (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 (- (* (acos a) (/ 1 a))))) (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (cbrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (/ 1 a))))) (/ (cbrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (* (acos a) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (sqrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (* (acos a) (/ 1 a))) (cbrt 1)) (/ (- (* (acos a) (/ 1 a))) (sqrt 1)) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (- (acos a))) (/ 1 (- (* (acos a) 1))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (expm1 (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (exp (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (* (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (cbrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (* (* (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (sqrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (sqrt (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (+ 1 (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (expm1 (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log1p (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (exp (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (* (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))))) (cbrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (* (* (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a)))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (sqrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (sqrt (log1p (expm1 (/ 1 (- (* (acos a) (/ 1 a))))))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (- (* 1/2 (/ (pow a 2) (pow (acos a) 2))) (+ (* 1/6 (/ (pow a 3) (pow (acos a) 3))) (/ a (acos a)))) (- (exp (* -1 (/ a (acos a)))) 1) (- (exp (* -1 (/ a (acos a)))) 1) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 5.400 * * [simplify]: iteration 0: 173 enodes 5.465 * * [simplify]: iteration 1: 403 enodes 6.131 * * [simplify]: iteration 2: 3602 enodes 11.097 * * [simplify]: iteration complete: 5000 enodes 11.097 * * [simplify]: Extracting #0: cost 52 inf + 0 11.098 * * [simplify]: Extracting #1: cost 748 inf + 3 11.102 * * [simplify]: Extracting #2: cost 1231 inf + 1152 11.107 * * [simplify]: Extracting #3: cost 447 inf + 6294 11.112 * * [simplify]: Extracting #4: cost 10 inf + 9668 11.119 * * [simplify]: Extracting #5: cost 0 inf + 9732 11.128 * * [simplify]: Extracting #6: cost 0 inf + 9729 11.141 * [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) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (* (* (cbrt (/ 1 a)) (acos a)) (cbrt (/ 1 a))) (* (acos a) (sqrt (/ 1 a))) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (acos a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (acos a) (expm1 (/ 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))) (exp (/ 1 (/ (- (acos a)) a))) (/ 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 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 (/ 1 (/ (- (acos a)) a)) -1 (* (/ 1 (acos a)) a) (/ 1 (- (acos a))) a (/ 1 (acos a)) (* -1 a) (/ 1 (/ (- (acos a)) a)) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) 1 -1 (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (exp (/ 1 (/ (- (acos a)) a))) (expm1 (expm1 (/ 1 (/ (- (acos a)) a)))) (/ 1 (/ (- (acos a)) a)) (log (expm1 (/ 1 (/ (- (acos a)) a)))) (exp (expm1 (/ 1 (/ (- (acos a)) a)))) (* (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a))))) (cbrt (expm1 (/ 1 (/ (- (acos a)) a)))) (pow (expm1 (/ 1 (/ (- (acos a)) a))) 3) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (sqrt (expm1 (/ 1 (/ (- (acos a)) a)))) (+ 1 (expm1 (/ 1 (/ (- (acos a)) a)))) (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- (log (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (* (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))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (fma 1/2 (/ (* a a) (pow (acos a) 2)) (- (fma (/ (pow a 3) (pow (acos a) 3)) 1/6 (/ a (acos a))))) (expm1 (/ (- a) (acos a))) (expm1 (/ (- a) (acos a))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 11.142 * * * [progress]: adding candidates to table 11.625 * [progress]: [Phase 3 of 3] Extracting. 11.625 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 11.628 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 11.629 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # #) 11.732 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # #) 11.805 * * * [regime]: Found split indices: #