71.598 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (/ a (- (acos a))) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: Extracting # 3 : cost 0 0.026 * * [simplify]: Extracting # 4 : cost 0 0.026 * * [simplify]: iteration 0 : 4 enodes (cost 5 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: iteration done: 4 enodes (cost 5 ) 0.026 * [simplify]: Simplified to: (/ a (- (acos a))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.049 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.049 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.049 * [taylor]: Taking taylor expansion of -1 in a 0.049 * [backup-simplify]: Simplify -1 into -1 0.049 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.049 * [taylor]: Taking taylor expansion of a in a 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (acos a) in a 0.050 * [backup-simplify]: Simplify (acos a) into (acos a) 0.050 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.050 * [taylor]: Taking taylor expansion of -1 in a 0.050 * [backup-simplify]: Simplify -1 into -1 0.050 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.050 * [taylor]: Taking taylor expansion of a in a 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 1 into 1 0.050 * [taylor]: Taking taylor expansion of (acos a) in a 0.050 * [backup-simplify]: Simplify (acos a) into (acos a) 0.050 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.051 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.051 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.051 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.052 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (- (/ 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 0.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.066 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 0.066 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.066 * [taylor]: Taking taylor expansion of -1 in a 0.066 * [backup-simplify]: Simplify -1 into -1 0.066 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.066 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.066 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.066 * [taylor]: Taking taylor expansion of a in a 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.067 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.067 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 0.067 * [taylor]: Taking taylor expansion of -1 in a 0.067 * [backup-simplify]: Simplify -1 into -1 0.067 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 0.067 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.067 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.068 * [taylor]: Taking taylor expansion of a in a 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 0.068 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 0.068 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.068 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.069 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 0.069 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.069 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.070 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.071 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.071 * [backup-simplify]: Simplify 0 into 0 0.072 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.074 * [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 0.074 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.076 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.076 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.076 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.076 * [taylor]: Taking taylor expansion of a in a 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.076 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.076 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.076 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.077 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.077 * [taylor]: Taking taylor expansion of a in a 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.077 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.077 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.078 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.095 * [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 0.095 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.097 * [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 0.097 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.098 * * * [progress]: simplifying candidates 0.099 * [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))) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.100 * * [simplify]: Extracting # 1 : cost 0 0.100 * * [simplify]: Extracting # 2 : cost 0 0.100 * * [simplify]: Extracting # 3 : cost 0 0.100 * * [simplify]: Extracting # 4 : cost 0 0.101 * * [simplify]: iteration 0 : 96 enodes (cost 613 ) 0.135 * * [simplify]: Extracting # 0 : cost 0 0.136 * * [simplify]: Extracting # 1 : cost 0 0.136 * * [simplify]: Extracting # 2 : cost 0 0.136 * * [simplify]: Extracting # 3 : cost 0 0.137 * * [simplify]: iteration 1 : 166 enodes (cost 581 ) 0.202 * * [simplify]: Extracting # 0 : cost 0 0.203 * * [simplify]: Extracting # 1 : cost 0 0.203 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.205 * * [simplify]: Extracting # 4 : cost 0 0.206 * * [simplify]: iteration 2 : 333 enodes (cost 563 ) 0.349 * * [simplify]: Extracting # 0 : cost 0 0.350 * * [simplify]: Extracting # 1 : cost 0 0.351 * * [simplify]: Extracting # 2 : cost 0 0.353 * * [simplify]: Extracting # 3 : cost 0 0.354 * * [simplify]: Extracting # 4 : cost 0 0.355 * * [simplify]: iteration 3 : 587 enodes (cost 563 ) 0.651 * * [simplify]: Extracting # 0 : cost 0 0.654 * * [simplify]: Extracting # 1 : cost 0 0.655 * * [simplify]: Extracting # 2 : cost 0 0.656 * * [simplify]: Extracting # 3 : cost 0 0.657 * * [simplify]: Extracting # 4 : cost 0 0.658 * * [simplify]: iteration 4 : 1105 enodes (cost 563 ) 2.064 * * [simplify]: Extracting # 0 : cost 0 2.067 * * [simplify]: Extracting # 1 : cost 0 2.068 * * [simplify]: Extracting # 2 : cost 0 2.070 * * [simplify]: Extracting # 3 : cost 0 2.072 * * [simplify]: Extracting # 4 : cost 0 2.073 * * [simplify]: iteration 5 : 2150 enodes (cost 558 ) 4.972 * * [simplify]: Extracting # 0 : cost 0 4.980 * * [simplify]: Extracting # 1 : cost 0 4.985 * * [simplify]: Extracting # 2 : cost 0 4.991 * * [simplify]: Extracting # 3 : cost 0 4.999 * * [simplify]: Extracting # 4 : cost 0 5.008 * * [simplify]: iteration done: 5001 enodes (cost 558 ) 5.009 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (pow (/ a (- (acos a))) 3) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ -1 (cbrt (acos a))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ -1 (sqrt (acos a))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ -1 (acos a)) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (- a) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (- a) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (/ a (- (acos a))) (/ a (- (acos a))) (/ a (- (acos a))) 5.009 * * * [progress]: adding candidates to table 5.160 * * [progress]: iteration 2 / 4 5.160 * * * [progress]: picking best candidate 5.183 * * * * [pick]: Picked # 5.183 * * * [progress]: localizing error 5.195 * * * [progress]: generating rewritten candidates 5.195 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 5.206 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.247 * * * [progress]: generating series expansions 5.247 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 5.247 * [backup-simplify]: Simplify (/ (acos a) a) into (/ (acos a) a) 5.247 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 5.247 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.247 * [taylor]: Taking taylor expansion of (acos a) in a 5.247 * [backup-simplify]: Simplify (acos a) into (acos a) 5.247 * [taylor]: Taking taylor expansion of a in a 5.247 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.248 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 5.248 * [taylor]: Taking taylor expansion of (acos a) in a 5.248 * [backup-simplify]: Simplify (acos a) into (acos a) 5.248 * [taylor]: Taking taylor expansion of a in a 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 5.248 * [backup-simplify]: Simplify (acos a) into (acos a) 5.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.269 * [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 5.269 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 5.270 * [backup-simplify]: Simplify (/ (acos (/ 1 a)) (/ 1 a)) into (* (acos (/ 1 a)) a) 5.270 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 5.270 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.270 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.270 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.270 * [taylor]: Taking taylor expansion of a in a 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.270 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.270 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.270 * [taylor]: Taking taylor expansion of a in a 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.270 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.271 * [backup-simplify]: Simplify 0 into 0 5.271 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.271 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.272 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.273 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.274 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.278 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 5.279 * [backup-simplify]: Simplify (/ (acos (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (acos (/ -1 a)))) 5.279 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 5.279 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.279 * [taylor]: Taking taylor expansion of -1 in a 5.279 * [backup-simplify]: Simplify -1 into -1 5.279 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.279 * [taylor]: Taking taylor expansion of a in a 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.279 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.279 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 5.279 * [taylor]: Taking taylor expansion of -1 in a 5.279 * [backup-simplify]: Simplify -1 into -1 5.279 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.279 * [taylor]: Taking taylor expansion of a in a 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify 1 into 1 5.279 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.279 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.280 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.280 * [backup-simplify]: Simplify (* -1 0) into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.281 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 5.281 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 5.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 5.284 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 5.286 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 5.289 * [backup-simplify]: Simplify 0 into 0 5.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 5.293 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.297 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 5.297 * [backup-simplify]: Simplify 0 into 0 5.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 5.303 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.303 * [backup-simplify]: Simplify (/ 1 (- (/ (acos a) a))) into (* -1 (/ a (acos a))) 5.303 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.303 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.303 * [taylor]: Taking taylor expansion of -1 in a 5.303 * [backup-simplify]: Simplify -1 into -1 5.303 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.303 * [taylor]: Taking taylor expansion of a in a 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [taylor]: Taking taylor expansion of (acos a) in a 5.303 * [backup-simplify]: Simplify (acos a) into (acos a) 5.303 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.304 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.304 * [taylor]: Taking taylor expansion of -1 in a 5.304 * [backup-simplify]: Simplify -1 into -1 5.304 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.304 * [taylor]: Taking taylor expansion of a in a 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [taylor]: Taking taylor expansion of (acos a) in a 5.304 * [backup-simplify]: Simplify (acos a) into (acos a) 5.304 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.304 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.304 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.304 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.305 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.306 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.306 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 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 (/ 1 (acos a)))))) into 0 5.308 * [backup-simplify]: Simplify 0 into 0 5.309 * [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 5.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.310 * [backup-simplify]: Simplify 0 into 0 5.311 * [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 5.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.313 * [backup-simplify]: Simplify 0 into 0 5.313 * [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 5.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.316 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 a)) (/ 1 a)))) into (/ -1 (* (acos (/ 1 a)) a)) 5.316 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 5.316 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.316 * [taylor]: Taking taylor expansion of -1 in a 5.316 * [backup-simplify]: Simplify -1 into -1 5.316 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.316 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.316 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.316 * [taylor]: Taking taylor expansion of a in a 5.316 * [backup-simplify]: Simplify 0 into 0 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.317 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.317 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.317 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 5.317 * [taylor]: Taking taylor expansion of -1 in a 5.317 * [backup-simplify]: Simplify -1 into -1 5.317 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 5.317 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.317 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.317 * [taylor]: Taking taylor expansion of a in a 5.317 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 5.318 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 5.318 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.318 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.319 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 5.320 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.320 * [backup-simplify]: Simplify 0 into 0 5.321 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.321 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.321 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.322 * [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 5.323 * [backup-simplify]: Simplify 0 into 0 5.324 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.324 * [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 5.324 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.326 * [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 5.326 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.328 * [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 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.329 * [backup-simplify]: Simplify (/ 1 (- (/ (acos (/ 1 (- a))) (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 5.329 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.329 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.329 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.329 * [taylor]: Taking taylor expansion of a in a 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.329 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.329 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.329 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.330 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.330 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.330 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.330 * [taylor]: Taking taylor expansion of a in a 5.330 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.330 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.330 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.331 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.331 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.331 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.333 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.335 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.339 * [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 5.339 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.342 * [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 5.342 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.346 * [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 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.346 * * * [progress]: simplifying candidates 5.351 * [simplify]: Simplifying: (expm1 (/ (acos a) 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(/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)))) (/ 1 (- (/ (* (cbrt (acos a)) (cbrt (acos a))) 1))) (/ 1 (- (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))))) (/ 1 (- (/ (sqrt (acos a)) (sqrt a)))) (/ 1 (- (/ (sqrt (acos a)) 1))) (/ 1 (- (/ 1 (* (cbrt a) (cbrt a))))) (/ 1 (- (/ 1 (sqrt a)))) (/ 1 (- (/ 1 1))) (/ 1 (- 1)) (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) 1)) (/ 1 (/ (sqrt (acos a)) (* (cbrt a) (cbrt a)))) (/ 1 (/ (sqrt (acos a)) (sqrt a))) (/ 1 (/ (sqrt (acos a)) 1)) (/ 1 (/ 1 (* (cbrt a) (cbrt a)))) (/ 1 (/ 1 (sqrt a))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (acos a)) (/ (- (/ (acos a) a)) (cbrt 1)) (/ (- (/ (acos a) a)) (sqrt 1)) (/ (- (/ (acos a) a)) 1) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 5.358 * * [simplify]: Extracting # 0 : cost 0 5.358 * * [simplify]: Extracting # 1 : cost 0 5.359 * * [simplify]: Extracting # 2 : cost 0 5.360 * * [simplify]: Extracting # 3 : cost 0 5.361 * * [simplify]: Extracting # 4 : cost 0 5.361 * * [simplify]: Extracting # 5 : cost 0 5.362 * * [simplify]: Extracting # 6 : cost 0 5.363 * * [simplify]: iteration 0 : 265 enodes (cost 2409 ) 5.501 * * [simplify]: Extracting # 0 : cost 0 5.503 * * [simplify]: Extracting # 1 : cost 0 5.503 * * [simplify]: Extracting # 2 : cost 0 5.504 * * [simplify]: iteration 1 : 472 enodes (cost 2004 ) 5.628 * * [simplify]: Extracting # 0 : cost 0 5.630 * * [simplify]: Extracting # 1 : cost 0 5.631 * * [simplify]: Extracting # 2 : cost 0 5.632 * * [simplify]: Extracting # 3 : cost 0 5.634 * * [simplify]: iteration 2 : 782 enodes (cost 1861 ) 6.078 * * [simplify]: Extracting # 0 : cost 0 6.083 * * [simplify]: Extracting # 1 : cost 0 6.086 * * [simplify]: Extracting # 2 : cost 0 6.089 * * [simplify]: Extracting # 3 : cost 0 6.092 * * [simplify]: Extracting # 4 : cost 0 6.095 * * [simplify]: iteration 3 : 1534 enodes (cost 1711 ) 7.330 * * [simplify]: Extracting # 0 : cost 0 7.335 * * [simplify]: Extracting # 1 : cost 0 7.339 * * [simplify]: Extracting # 2 : cost 0 7.343 * * [simplify]: Extracting # 3 : cost 0 7.347 * * [simplify]: Extracting # 4 : cost 0 7.351 * * [simplify]: iteration 4 : 2784 enodes (cost 1711 ) 11.482 * * [simplify]: Extracting # 0 : cost 0 11.492 * * [simplify]: Extracting # 1 : cost 0 11.508 * * [simplify]: Extracting # 2 : cost 0 11.514 * * [simplify]: Extracting # 3 : cost 0 11.521 * * [simplify]: Extracting # 4 : cost 0 11.527 * * [simplify]: iteration done: 5000 enodes (cost 1711 ) 11.529 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ 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(acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (cbrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) -1 (/ a (acos a)) (/ 1 (- (acos a))) a (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (- (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (- (/ a (acos a))) 1 (- (/ a (acos a))) (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ 1 (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ 1 (- (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))))) (/ 1 (- (sqrt (/ (acos a) a)))) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (sqrt a) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 -1 (/ 1 (- (acos a))) (/ 1 (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a)))) (/ 1 (sqrt (/ (acos a) a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (sqrt a) (sqrt (acos a))) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 11.532 * * * [progress]: adding candidates to table 11.840 * * [progress]: iteration 3 / 4 11.840 * * * [progress]: picking best candidate 11.864 * * * * [pick]: Picked # 11.864 * * * [progress]: localizing error 11.885 * * * [progress]: generating rewritten candidates 11.885 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 11.898 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 12.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 12.127 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.399 * * * [progress]: generating series expansions 12.399 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 12.402 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 12.402 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 12.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.402 * [taylor]: Taking taylor expansion of 1/2 in a 12.402 * [backup-simplify]: Simplify 1/2 into 1/2 12.402 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.402 * [taylor]: Taking taylor expansion of PI in a 12.402 * [backup-simplify]: Simplify PI into PI 12.402 * [taylor]: Taking taylor expansion of a in a 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify 1 into 1 12.403 * [backup-simplify]: Simplify (/ PI 1) into PI 12.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.403 * [taylor]: Taking taylor expansion of 1/2 in a 12.403 * [backup-simplify]: Simplify 1/2 into 1/2 12.403 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.403 * [taylor]: Taking taylor expansion of PI in a 12.403 * [backup-simplify]: Simplify PI into PI 12.403 * [taylor]: Taking taylor expansion of a in a 12.404 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify 1 into 1 12.404 * [backup-simplify]: Simplify (/ PI 1) into PI 12.405 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.406 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.408 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.411 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.411 * [backup-simplify]: Simplify 0 into 0 12.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.415 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.418 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.422 * [backup-simplify]: Simplify 0 into 0 12.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.425 * [backup-simplify]: Simplify 0 into 0 12.426 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 12.427 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 12.427 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 12.427 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.427 * [taylor]: Taking taylor expansion of 1/2 in a 12.427 * [backup-simplify]: Simplify 1/2 into 1/2 12.427 * [taylor]: Taking taylor expansion of (* a PI) in a 12.427 * [taylor]: Taking taylor expansion of a in a 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [taylor]: Taking taylor expansion of PI in a 12.428 * [backup-simplify]: Simplify PI into PI 12.428 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.428 * [taylor]: Taking taylor expansion of 1/2 in a 12.428 * [backup-simplify]: Simplify 1/2 into 1/2 12.428 * [taylor]: Taking taylor expansion of (* a PI) in a 12.428 * [taylor]: Taking taylor expansion of a in a 12.428 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify 1 into 1 12.428 * [taylor]: Taking taylor expansion of PI in a 12.428 * [backup-simplify]: Simplify PI into PI 12.429 * [backup-simplify]: Simplify (* 0 PI) into 0 12.430 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.430 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.434 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.435 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.438 * [backup-simplify]: Simplify 0 into 0 12.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.441 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.444 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.448 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.452 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.457 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 12.459 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 12.459 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 12.459 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 12.459 * [taylor]: Taking taylor expansion of -1/2 in a 12.459 * [backup-simplify]: Simplify -1/2 into -1/2 12.459 * [taylor]: Taking taylor expansion of (* a PI) in a 12.459 * [taylor]: Taking taylor expansion of a in a 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [taylor]: Taking taylor expansion of PI in a 12.459 * [backup-simplify]: Simplify PI into PI 12.459 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 12.459 * [taylor]: Taking taylor expansion of -1/2 in a 12.459 * [backup-simplify]: Simplify -1/2 into -1/2 12.459 * [taylor]: Taking taylor expansion of (* a PI) in a 12.459 * [taylor]: Taking taylor expansion of a in a 12.459 * [backup-simplify]: Simplify 0 into 0 12.459 * [backup-simplify]: Simplify 1 into 1 12.459 * [taylor]: Taking taylor expansion of PI in a 12.459 * [backup-simplify]: Simplify PI into PI 12.460 * [backup-simplify]: Simplify (* 0 PI) into 0 12.461 * [backup-simplify]: Simplify (* -1/2 0) into 0 12.461 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.466 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 12.467 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.470 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.470 * [backup-simplify]: Simplify 0 into 0 12.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.473 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.473 * [backup-simplify]: Simplify 0 into 0 12.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.477 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.477 * [backup-simplify]: Simplify 0 into 0 12.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.481 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.482 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.486 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.486 * [backup-simplify]: Simplify 0 into 0 12.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.492 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.492 * [backup-simplify]: Simplify 0 into 0 12.494 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 12.494 * * * * [progress]: [ 2 / 4 ] generating series at (2) 12.496 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))) into (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) 12.496 * [approximate]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in (a) around 0 12.496 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 12.496 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 12.496 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.496 * [taylor]: Taking taylor expansion of (asin a) in a 12.496 * [backup-simplify]: Simplify (asin a) into (asin a) 12.496 * [taylor]: Taking taylor expansion of a in a 12.496 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify 1 into 1 12.496 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.496 * [taylor]: Taking taylor expansion of 1/2 in a 12.496 * [backup-simplify]: Simplify 1/2 into 1/2 12.496 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.496 * [taylor]: Taking taylor expansion of PI in a 12.496 * [backup-simplify]: Simplify PI into PI 12.496 * [taylor]: Taking taylor expansion of a in a 12.496 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify 1 into 1 12.497 * [backup-simplify]: Simplify (/ PI 1) into PI 12.498 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.500 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.501 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 12.502 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.502 * [taylor]: Taking taylor expansion of (/ 1 (- (/ (asin a) a) (* 1/2 (/ PI a)))) in a 12.502 * [taylor]: Taking taylor expansion of (- (/ (asin a) a) (* 1/2 (/ PI a))) in a 12.502 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.502 * [taylor]: Taking taylor expansion of (asin a) in a 12.502 * [backup-simplify]: Simplify (asin a) into (asin a) 12.502 * [taylor]: Taking taylor expansion of a in a 12.502 * [backup-simplify]: Simplify 0 into 0 12.502 * [backup-simplify]: Simplify 1 into 1 12.502 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.502 * [taylor]: Taking taylor expansion of 1/2 in a 12.503 * [backup-simplify]: Simplify 1/2 into 1/2 12.503 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.503 * [taylor]: Taking taylor expansion of PI in a 12.503 * [backup-simplify]: Simplify PI into PI 12.503 * [taylor]: Taking taylor expansion of a in a 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify 1 into 1 12.504 * [backup-simplify]: Simplify (/ PI 1) into PI 12.504 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.506 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.507 * [backup-simplify]: Simplify (+ (asin a) (- (* 1/2 PI))) into (- (asin a) (* 1/2 PI)) 12.508 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.509 * [backup-simplify]: Simplify (/ 1 (- (asin a) (* 1/2 PI))) into (/ 1 (- (asin a) (* 1/2 PI))) 12.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 12.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.513 * [backup-simplify]: Simplify (- 0) into 0 12.514 * [backup-simplify]: Simplify (+ 0 0) into 0 12.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.515 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.520 * [backup-simplify]: Simplify (- 0) into 0 12.521 * [backup-simplify]: Simplify (+ 0 0) into 0 12.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.523 * [backup-simplify]: Simplify 0 into 0 12.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.534 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.534 * [backup-simplify]: Simplify (- 0) into 0 12.535 * [backup-simplify]: Simplify (+ 0 0) into 0 12.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.536 * [backup-simplify]: Simplify 0 into 0 12.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.540 * [backup-simplify]: Simplify (- 0) into 0 12.540 * [backup-simplify]: Simplify (+ 0 0) into 0 12.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.542 * [backup-simplify]: Simplify 0 into 0 12.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.546 * [backup-simplify]: Simplify (- 0) into 0 12.546 * [backup-simplify]: Simplify (+ 0 0) into 0 12.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.549 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.553 * [backup-simplify]: Simplify (- 0) into 0 12.554 * [backup-simplify]: Simplify (+ 0 0) into 0 12.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin a) (* 1/2 PI))) (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))) (* 0 (/ 0 (- (asin a) (* 1/2 PI)))))) into 0 12.557 * [backup-simplify]: Simplify 0 into 0 12.558 * [backup-simplify]: Simplify (* (/ 1 (- (asin a) (* 1/2 PI))) a) into (/ a (- (asin a) (* 1/2 PI))) 12.559 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) (/ 1 a)) (/ (asin (/ 1 a)) (/ 1 a))))) into (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) 12.559 * [approximate]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in (a) around 0 12.559 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 12.559 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 12.559 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.559 * [taylor]: Taking taylor expansion of a in a 12.559 * [backup-simplify]: Simplify 0 into 0 12.559 * [backup-simplify]: Simplify 1 into 1 12.559 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.559 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.559 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.559 * [taylor]: Taking taylor expansion of 1/2 in a 12.559 * [backup-simplify]: Simplify 1/2 into 1/2 12.559 * [taylor]: Taking taylor expansion of (* a PI) in a 12.559 * [taylor]: Taking taylor expansion of a in a 12.560 * [backup-simplify]: Simplify 0 into 0 12.560 * [backup-simplify]: Simplify 1 into 1 12.560 * [taylor]: Taking taylor expansion of PI in a 12.560 * [backup-simplify]: Simplify PI into PI 12.560 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.560 * [backup-simplify]: Simplify (* 0 PI) into 0 12.561 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.561 * [backup-simplify]: Simplify (- 0) into 0 12.562 * [backup-simplify]: Simplify (+ 0 0) into 0 12.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.564 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.566 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.567 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.568 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 12.569 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.569 * [taylor]: Taking taylor expansion of (/ 1 (- (* a (asin (/ 1 a))) (* 1/2 (* a PI)))) in a 12.569 * [taylor]: Taking taylor expansion of (- (* a (asin (/ 1 a))) (* 1/2 (* a PI))) in a 12.569 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.569 * [taylor]: Taking taylor expansion of a in a 12.569 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify 1 into 1 12.569 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.570 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.570 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.570 * [taylor]: Taking taylor expansion of 1/2 in a 12.570 * [backup-simplify]: Simplify 1/2 into 1/2 12.570 * [taylor]: Taking taylor expansion of (* a PI) in a 12.570 * [taylor]: Taking taylor expansion of a in a 12.570 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify 1 into 1 12.570 * [taylor]: Taking taylor expansion of PI in a 12.570 * [backup-simplify]: Simplify PI into PI 12.570 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.571 * [backup-simplify]: Simplify (* 0 PI) into 0 12.571 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.572 * [backup-simplify]: Simplify (- 0) into 0 12.572 * [backup-simplify]: Simplify (+ 0 0) into 0 12.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.574 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.576 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.578 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.579 * [backup-simplify]: Simplify (+ (asin (/ 1 a)) (- (* 1/2 PI))) into (- (asin (/ 1 a)) (* 1/2 PI)) 12.580 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.581 * [backup-simplify]: Simplify (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) into (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) 12.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 12.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.585 * [backup-simplify]: Simplify (- 0) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.588 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 12.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.590 * [backup-simplify]: Simplify (- 0) into 0 12.591 * [backup-simplify]: Simplify (+ 0 0) into 0 12.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.592 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 12.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.596 * [backup-simplify]: Simplify (- 0) into 0 12.596 * [backup-simplify]: Simplify (+ 0 0) into 0 12.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.598 * [backup-simplify]: Simplify 0 into 0 12.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 12.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.602 * [backup-simplify]: Simplify (- 0) into 0 12.602 * [backup-simplify]: Simplify (+ 0 0) into 0 12.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.605 * [backup-simplify]: Simplify 0 into 0 12.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 12.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.609 * [backup-simplify]: Simplify (- 0) into 0 12.609 * [backup-simplify]: Simplify (+ 0 0) into 0 12.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.612 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 12.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.617 * [backup-simplify]: Simplify (- 0) into 0 12.618 * [backup-simplify]: Simplify (+ 0 0) into 0 12.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (asin (/ 1 a)) (* 1/2 PI))) (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))) (* 0 (/ 0 (- (asin (/ 1 a)) (* 1/2 PI)))))) into 0 12.622 * [backup-simplify]: Simplify 0 into 0 12.623 * [backup-simplify]: Simplify (* (/ 1 (- (asin (/ 1 (/ 1 a))) (* 1/2 PI))) (/ 1 (/ 1 a))) into (/ a (- (asin a) (* 1/2 PI))) 12.624 * [backup-simplify]: Simplify (/ 1 (- (- (/ (/ PI 2) (/ 1 (- a))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))))) into (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) 12.624 * [approximate]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in (a) around 0 12.624 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 12.624 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 12.624 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.624 * [taylor]: Taking taylor expansion of 1/2 in a 12.624 * [backup-simplify]: Simplify 1/2 into 1/2 12.624 * [taylor]: Taking taylor expansion of (* a PI) in a 12.624 * [taylor]: Taking taylor expansion of a in a 12.624 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [taylor]: Taking taylor expansion of PI in a 12.624 * [backup-simplify]: Simplify PI into PI 12.625 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.625 * [taylor]: Taking taylor expansion of a in a 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.625 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.626 * [backup-simplify]: Simplify (* 0 PI) into 0 12.626 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.626 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.627 * [backup-simplify]: Simplify (- 0) into 0 12.627 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.631 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.632 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 12.633 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 12.634 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.634 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1/2 (* a PI)) (* a (asin (/ -1 a))))) in a 12.634 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ -1 a)))) in a 12.634 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.634 * [taylor]: Taking taylor expansion of 1/2 in a 12.634 * [backup-simplify]: Simplify 1/2 into 1/2 12.634 * [taylor]: Taking taylor expansion of (* a PI) in a 12.634 * [taylor]: Taking taylor expansion of a in a 12.634 * [backup-simplify]: Simplify 0 into 0 12.634 * [backup-simplify]: Simplify 1 into 1 12.634 * [taylor]: Taking taylor expansion of PI in a 12.634 * [backup-simplify]: Simplify PI into PI 12.634 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.634 * [taylor]: Taking taylor expansion of a in a 12.634 * [backup-simplify]: Simplify 0 into 0 12.634 * [backup-simplify]: Simplify 1 into 1 12.634 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.634 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.635 * [backup-simplify]: Simplify (* 0 PI) into 0 12.636 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.636 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.636 * [backup-simplify]: Simplify (- 0) into 0 12.637 * [backup-simplify]: Simplify (+ 0 0) into 0 12.638 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.640 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.641 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 12.642 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ -1 a)))) into (- (* 1/2 PI) (asin (/ -1 a))) 12.643 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.644 * [backup-simplify]: Simplify (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) into (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) 12.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 12.648 * [backup-simplify]: Simplify (- 0) into 0 12.649 * [backup-simplify]: Simplify (+ 0 0) into 0 12.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.650 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 12.656 * [backup-simplify]: Simplify (- 0) into 0 12.657 * [backup-simplify]: Simplify (+ 0 0) into 0 12.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.659 * [backup-simplify]: Simplify 0 into 0 12.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 12.665 * [backup-simplify]: Simplify (- 0) into 0 12.666 * [backup-simplify]: Simplify (+ 0 0) into 0 12.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.669 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 12.681 * [backup-simplify]: Simplify (- 0) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 12.688 * [backup-simplify]: Simplify (- 0) into 0 12.688 * [backup-simplify]: Simplify (+ 0 0) into 0 12.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.691 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 12.696 * [backup-simplify]: Simplify (- 0) into 0 12.696 * [backup-simplify]: Simplify (+ 0 0) into 0 12.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (- (* 1/2 PI) (asin (/ -1 a)))) (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))) (* 0 (/ 0 (- (* 1/2 PI) (asin (/ -1 a))))))) into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (* (/ 1 (- (* 1/2 PI) (asin (/ -1 (/ 1 (- a)))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (- (* 1/2 PI) (asin a)))) 12.700 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 12.700 * [backup-simplify]: Simplify (/ (asin a) a) into (/ (asin a) a) 12.700 * [approximate]: Taking taylor expansion of (/ (asin a) a) in (a) around 0 12.700 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.700 * [taylor]: Taking taylor expansion of (asin a) in a 12.700 * [backup-simplify]: Simplify (asin a) into (asin a) 12.700 * [taylor]: Taking taylor expansion of a in a 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify 1 into 1 12.700 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.701 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.701 * [taylor]: Taking taylor expansion of (asin a) in a 12.701 * [backup-simplify]: Simplify (asin a) into (asin a) 12.701 * [taylor]: Taking taylor expansion of a in a 12.701 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify 1 into 1 12.701 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.701 * [backup-simplify]: Simplify (asin a) into (asin a) 12.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 12.702 * [backup-simplify]: Simplify 0 into 0 12.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.703 * [backup-simplify]: Simplify 0 into 0 12.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.705 * [backup-simplify]: Simplify 0 into 0 12.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.706 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify (* (asin a) (/ 1 a)) into (/ (asin a) a) 12.711 * [backup-simplify]: Simplify (/ (asin (/ 1 a)) (/ 1 a)) into (* a (asin (/ 1 a))) 12.711 * [approximate]: Taking taylor expansion of (* a (asin (/ 1 a))) in (a) around 0 12.711 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.711 * [taylor]: Taking taylor expansion of a in a 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 1 into 1 12.711 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.711 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.711 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.711 * [taylor]: Taking taylor expansion of a in a 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 1 into 1 12.711 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.711 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.712 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.712 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 12.713 * [backup-simplify]: Simplify 0 into 0 12.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 12.714 * [backup-simplify]: Simplify 0 into 0 12.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 12.715 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 12.717 * [backup-simplify]: Simplify 0 into 0 12.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 12.718 * [backup-simplify]: Simplify 0 into 0 12.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 12.720 * [backup-simplify]: Simplify 0 into 0 12.720 * [backup-simplify]: Simplify (* (asin (/ 1 (/ 1 a))) (/ 1 a)) into (/ (asin a) a) 12.721 * [backup-simplify]: Simplify (/ (asin (/ 1 (- a))) (/ 1 (- a))) into (* -1 (* a (asin (/ -1 a)))) 12.721 * [approximate]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in (a) around 0 12.721 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 12.721 * [taylor]: Taking taylor expansion of -1 in a 12.721 * [backup-simplify]: Simplify -1 into -1 12.721 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.721 * [taylor]: Taking taylor expansion of a in a 12.721 * [backup-simplify]: Simplify 0 into 0 12.721 * [backup-simplify]: Simplify 1 into 1 12.721 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.721 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.721 * [taylor]: Taking taylor expansion of (* -1 (* a (asin (/ -1 a)))) in a 12.721 * [taylor]: Taking taylor expansion of -1 in a 12.721 * [backup-simplify]: Simplify -1 into -1 12.721 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.721 * [taylor]: Taking taylor expansion of a in a 12.721 * [backup-simplify]: Simplify 0 into 0 12.721 * [backup-simplify]: Simplify 1 into 1 12.721 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.721 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.721 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.722 * [backup-simplify]: Simplify (* -1 0) into 0 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.722 * [backup-simplify]: Simplify (+ (* -1 (asin (/ -1 a))) (* 0 0)) into (- (asin (/ -1 a))) 12.723 * [backup-simplify]: Simplify (- (asin (/ -1 a))) into (- (asin (/ -1 a))) 12.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 12.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))) into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 12.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))) into 0 12.726 * [backup-simplify]: Simplify 0 into 0 12.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 12.728 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))) into 0 12.728 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 12.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))) into 0 12.731 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 12.734 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0))))))) into 0 12.734 * [backup-simplify]: Simplify 0 into 0 12.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 12.738 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (asin (/ -1 a))) (* 0 0)))))))) into 0 12.738 * [backup-simplify]: Simplify 0 into 0 12.738 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (asin a) a) 12.738 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.738 * [backup-simplify]: Simplify (- (/ (/ PI 2) a) (/ (asin a) a)) into (- (* 1/2 (/ PI a)) (/ (asin a) a)) 12.738 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in (a) around 0 12.738 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 12.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.739 * [taylor]: Taking taylor expansion of 1/2 in a 12.739 * [backup-simplify]: Simplify 1/2 into 1/2 12.739 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.739 * [taylor]: Taking taylor expansion of PI in a 12.739 * [backup-simplify]: Simplify PI into PI 12.739 * [taylor]: Taking taylor expansion of a in a 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify 1 into 1 12.739 * [backup-simplify]: Simplify (/ PI 1) into PI 12.739 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.739 * [taylor]: Taking taylor expansion of (asin a) in a 12.739 * [backup-simplify]: Simplify (asin a) into (asin a) 12.739 * [taylor]: Taking taylor expansion of a in a 12.739 * [backup-simplify]: Simplify 0 into 0 12.739 * [backup-simplify]: Simplify 1 into 1 12.739 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.739 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (/ (asin a) a)) in a 12.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 12.739 * [taylor]: Taking taylor expansion of 1/2 in a 12.739 * [backup-simplify]: Simplify 1/2 into 1/2 12.739 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.739 * [taylor]: Taking taylor expansion of PI in a 12.739 * [backup-simplify]: Simplify PI into PI 12.739 * [taylor]: Taking taylor expansion of a in a 12.739 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [backup-simplify]: Simplify (/ PI 1) into PI 12.740 * [taylor]: Taking taylor expansion of (/ (asin a) a) in a 12.740 * [taylor]: Taking taylor expansion of (asin a) in a 12.740 * [backup-simplify]: Simplify (asin a) into (asin a) 12.740 * [taylor]: Taking taylor expansion of a in a 12.740 * [backup-simplify]: Simplify 0 into 0 12.740 * [backup-simplify]: Simplify 1 into 1 12.740 * [backup-simplify]: Simplify (/ (asin a) 1) into (asin a) 12.741 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 12.741 * [backup-simplify]: Simplify (- (asin a)) into (- (asin a)) 12.741 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin a))) into (- (* 1/2 PI) (asin a)) 12.742 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin a)) into (- (* 1/2 PI) (asin a)) 12.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 12.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)))) into 0 12.744 * [backup-simplify]: Simplify (- 0) into 0 12.745 * [backup-simplify]: Simplify (+ 0 0) into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 12.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.747 * [backup-simplify]: Simplify (- 0) into 0 12.748 * [backup-simplify]: Simplify (+ 0 0) into 0 12.748 * [backup-simplify]: Simplify 0 into 0 12.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.751 * [backup-simplify]: Simplify (- 0) into 0 12.752 * [backup-simplify]: Simplify (+ 0 0) into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.756 * [backup-simplify]: Simplify (- 0) into 0 12.756 * [backup-simplify]: Simplify (+ 0 0) into 0 12.756 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.761 * [backup-simplify]: Simplify (- 0) into 0 12.761 * [backup-simplify]: Simplify (+ 0 0) into 0 12.761 * [backup-simplify]: Simplify 0 into 0 12.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (asin a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.767 * [backup-simplify]: Simplify (- 0) into 0 12.767 * [backup-simplify]: Simplify (+ 0 0) into 0 12.767 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin a)) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 12.768 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 a)) (/ (asin (/ 1 a)) (/ 1 a))) into (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) 12.769 * [approximate]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in (a) around 0 12.769 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 12.769 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.769 * [taylor]: Taking taylor expansion of 1/2 in a 12.769 * [backup-simplify]: Simplify 1/2 into 1/2 12.769 * [taylor]: Taking taylor expansion of (* a PI) in a 12.769 * [taylor]: Taking taylor expansion of a in a 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of PI in a 12.769 * [backup-simplify]: Simplify PI into PI 12.769 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.769 * [taylor]: Taking taylor expansion of a in a 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.769 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.769 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* a (asin (/ 1 a)))) in a 12.769 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.769 * [taylor]: Taking taylor expansion of 1/2 in a 12.769 * [backup-simplify]: Simplify 1/2 into 1/2 12.769 * [taylor]: Taking taylor expansion of (* a PI) in a 12.769 * [taylor]: Taking taylor expansion of a in a 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of PI in a 12.769 * [backup-simplify]: Simplify PI into PI 12.769 * [taylor]: Taking taylor expansion of (* a (asin (/ 1 a))) in a 12.769 * [taylor]: Taking taylor expansion of a in a 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [taylor]: Taking taylor expansion of (asin (/ 1 a)) in a 12.769 * [backup-simplify]: Simplify (asin (/ 1 a)) into (asin (/ 1 a)) 12.770 * [backup-simplify]: Simplify (* 0 PI) into 0 12.770 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.770 * [backup-simplify]: Simplify (* 0 (asin (/ 1 a))) into 0 12.771 * [backup-simplify]: Simplify (- 0) into 0 12.771 * [backup-simplify]: Simplify (+ 0 0) into 0 12.771 * [backup-simplify]: Simplify 0 into 0 12.772 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.773 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.774 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ 1 a)))) into (asin (/ 1 a)) 12.774 * [backup-simplify]: Simplify (- (asin (/ 1 a))) into (- (asin (/ 1 a))) 12.774 * [backup-simplify]: Simplify (+ (* 1/2 PI) (- (asin (/ 1 a)))) into (- (* 1/2 PI) (asin (/ 1 a))) 12.775 * [backup-simplify]: Simplify (- (* 1/2 PI) (asin (/ 1 a))) into (- (* 1/2 PI) (asin (/ 1 a))) 12.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ 1 a))))) into 0 12.778 * [backup-simplify]: Simplify (- 0) into 0 12.778 * [backup-simplify]: Simplify (+ 0 0) into 0 12.778 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))) into 0 12.781 * [backup-simplify]: Simplify (- 0) into 0 12.781 * [backup-simplify]: Simplify (+ 0 0) into 0 12.781 * [backup-simplify]: Simplify 0 into 0 12.782 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))) into 0 12.789 * [backup-simplify]: Simplify (- 0) into 0 12.789 * [backup-simplify]: Simplify (+ 0 0) into 0 12.789 * [backup-simplify]: Simplify 0 into 0 12.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))) into 0 12.794 * [backup-simplify]: Simplify (- 0) into 0 12.794 * [backup-simplify]: Simplify (+ 0 0) into 0 12.794 * [backup-simplify]: Simplify 0 into 0 12.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a))))))))) into 0 12.799 * [backup-simplify]: Simplify (- 0) into 0 12.799 * [backup-simplify]: Simplify (+ 0 0) into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.804 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ 1 a)))))))))) into 0 12.804 * [backup-simplify]: Simplify (- 0) into 0 12.804 * [backup-simplify]: Simplify (+ 0 0) into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify (* (- (* 1/2 PI) (asin (/ 1 (/ 1 a)))) (/ 1 a)) into (/ (- (* 1/2 PI) (asin a)) a) 12.806 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 (- a))) (/ (asin (/ 1 (- a))) (/ 1 (- a)))) into (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) 12.806 * [approximate]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in (a) around 0 12.806 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 12.806 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.806 * [taylor]: Taking taylor expansion of a in a 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.806 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.806 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.806 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.806 * [taylor]: Taking taylor expansion of 1/2 in a 12.806 * [backup-simplify]: Simplify 1/2 into 1/2 12.806 * [taylor]: Taking taylor expansion of (* a PI) in a 12.806 * [taylor]: Taking taylor expansion of a in a 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.806 * [taylor]: Taking taylor expansion of PI in a 12.806 * [backup-simplify]: Simplify PI into PI 12.806 * [taylor]: Taking taylor expansion of (- (* a (asin (/ -1 a))) (* 1/2 (* a PI))) in a 12.806 * [taylor]: Taking taylor expansion of (* a (asin (/ -1 a))) in a 12.806 * [taylor]: Taking taylor expansion of a in a 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.806 * [taylor]: Taking taylor expansion of (asin (/ -1 a)) in a 12.806 * [backup-simplify]: Simplify (asin (/ -1 a)) into (asin (/ -1 a)) 12.806 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 12.807 * [taylor]: Taking taylor expansion of 1/2 in a 12.807 * [backup-simplify]: Simplify 1/2 into 1/2 12.807 * [taylor]: Taking taylor expansion of (* a PI) in a 12.807 * [taylor]: Taking taylor expansion of a in a 12.807 * [backup-simplify]: Simplify 0 into 0 12.807 * [backup-simplify]: Simplify 1 into 1 12.807 * [taylor]: Taking taylor expansion of PI in a 12.807 * [backup-simplify]: Simplify PI into PI 12.807 * [backup-simplify]: Simplify (* 0 (asin (/ -1 a))) into 0 12.807 * [backup-simplify]: Simplify (* 0 PI) into 0 12.808 * [backup-simplify]: Simplify (* 1/2 0) into 0 12.808 * [backup-simplify]: Simplify (- 0) into 0 12.808 * [backup-simplify]: Simplify (+ 0 0) into 0 12.808 * [backup-simplify]: Simplify 0 into 0 12.809 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (asin (/ -1 a)))) into (asin (/ -1 a)) 12.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.811 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 12.812 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 12.813 * [backup-simplify]: Simplify (+ (asin (/ -1 a)) (- (* 1/2 PI))) into (- (asin (/ -1 a)) (* 1/2 PI)) 12.813 * [backup-simplify]: Simplify (- (asin (/ -1 a)) (* 1/2 PI)) into (- (asin (/ -1 a)) (* 1/2 PI)) 12.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (asin (/ -1 a))))) into 0 12.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 12.816 * [backup-simplify]: Simplify (- 0) into 0 12.816 * [backup-simplify]: Simplify (+ 0 0) into 0 12.816 * [backup-simplify]: Simplify 0 into 0 12.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))) into 0 12.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.819 * [backup-simplify]: Simplify (- 0) into 0 12.819 * [backup-simplify]: Simplify (+ 0 0) into 0 12.819 * [backup-simplify]: Simplify 0 into 0 12.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))) into 0 12.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.823 * [backup-simplify]: Simplify (- 0) into 0 12.823 * [backup-simplify]: Simplify (+ 0 0) into 0 12.823 * [backup-simplify]: Simplify 0 into 0 12.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))) into 0 12.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.827 * [backup-simplify]: Simplify (- 0) into 0 12.827 * [backup-simplify]: Simplify (+ 0 0) into 0 12.827 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a))))))))) into 0 12.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.832 * [backup-simplify]: Simplify (- 0) into 0 12.832 * [backup-simplify]: Simplify (+ 0 0) into 0 12.832 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (asin (/ -1 a)))))))))) into 0 12.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.837 * [backup-simplify]: Simplify (- 0) into 0 12.838 * [backup-simplify]: Simplify (+ 0 0) into 0 12.838 * [backup-simplify]: Simplify 0 into 0 12.838 * [backup-simplify]: Simplify (* (- (asin (/ -1 (/ 1 (- a)))) (* 1/2 PI)) (/ 1 (- a))) into (* -1 (/ (- (asin a) (* 1/2 PI)) a)) 12.839 * * * [progress]: simplifying candidates 12.861 * [simplify]: Simplifying: (expm1 (/ (/ PI 2) a)) (log1p (/ (/ PI 2) a)) (- (- (log PI) (log 2)) (log a)) (- (log (/ PI 2)) (log a)) (log (/ (/ PI 2) a)) (exp (/ (/ PI 2) a)) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* a a) a)) (* (cbrt (/ (/ PI 2) a)) (cbrt (/ (/ PI 2) a))) (cbrt (/ (/ PI 2) a)) (* (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) a)) (- (/ PI 2)) (- a) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ PI 2)) (cbrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt a)) (/ (cbrt (/ PI 2)) (sqrt a)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI 2)) (cbrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (cbrt PI) (cbrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt a)) (/ (/ (cbrt PI) (sqrt 2)) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) a) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) 2) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (sqrt PI) (cbrt 2)) (sqrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) a) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) 1) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) 2) (cbrt a)) (/ (/ (sqrt PI) 1) (sqrt a)) (/ (/ (sqrt PI) 2) (sqrt a)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) a) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ PI (cbrt 2)) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (cbrt 2)) (sqrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) a) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ PI (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (sqrt 2)) (sqrt a)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) a) (/ (/ 1 1) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ (/ 1 1) (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ (/ 1 1) 1) (/ (/ PI 2) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ 1 1) (/ (/ PI 2) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 2) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 2) (sqrt a)) (/ PI 1) (/ (/ 1 2) a) (/ 1 a) (/ a (/ PI 2)) (/ (/ PI 2) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (sqrt a)) (/ (/ PI 2) 1) (/ a (cbrt (/ PI 2))) (/ a (sqrt (/ PI 2))) (/ a (/ (cbrt PI) (cbrt 2))) (/ a (/ (cbrt PI) (sqrt 2))) (/ a (/ (cbrt PI) 2)) (/ a (/ (sqrt PI) (cbrt 2))) (/ a (/ (sqrt PI) (sqrt 2))) (/ a (/ (sqrt PI) 2)) (/ a (/ PI (cbrt 2))) (/ a (/ PI (sqrt 2))) (/ a (/ PI 2)) (/ a (/ PI 2)) (/ a (/ 1 2)) (* a 2) (expm1 (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (log1p (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 1) (- (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 0 (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- (log 1) (log (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (log (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (exp (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (* 1 1) 1) (* (* (- (- (/ (/ PI 2) a) (/ (asin a) a))) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (* (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (cbrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (* (* (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (sqrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (sqrt (/ 1 (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (- 1) (- (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (cbrt 1) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (cbrt 1) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (cbrt 1) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (- (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (cbrt 1) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (* (cbrt a) (cbrt a))))) (/ (cbrt 1) (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 (sqrt a)))) (/ (cbrt 1) (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a)))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 1))) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- 1)) (/ (cbrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (* (cbrt 1) (cbrt 1)) (- (/ 1 a))) (/ (cbrt 1) (- (/ PI 2) (asin a))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (cbrt 1) (- (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (cbrt 1) (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (cbrt 1) (- (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (* (cbrt 1) (cbrt 1)) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (cbrt 1) (- (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (- (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (- (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a))))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 a)) (/ (cbrt 1) (- (- (/ PI 2) (asin a)))) (/ (sqrt 1) (* (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (sqrt 1) (cbrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) (sqrt (- (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (sqrt 1) (- (* (cbrt (- (/ (/ PI 2) a) (/ (asin a) a))) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))))) (/ (sqrt 1) (cbrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (sqrt 1) (- (sqrt (- (/ (/ PI 2) a) (/ (asin a) a))))) (/ (sqrt 1) (sqrt (- (/ (/ PI 2) a) (/ (asin a) a)))) (/ (sqrt 1) (- 1)) (/ (sqrt 1) (- (/ (/ PI 2) a) (/ (asin a) a))) (/ (sqrt 1) (- (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))))) (/ (sqrt 1) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a)))) (/ (sqrt 1) (- (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (sqrt 1) (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a)))) (/ (sqrt 1) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))))) (/ (sqrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a)))) (/ (sqrt 1) (- (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))))) (/ (sqrt 1) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt 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[simplify]: Extracting # 3 : cost 0 12.950 * * [simplify]: Extracting # 4 : cost 0 12.953 * * [simplify]: Extracting # 5 : cost 0 12.961 * * [simplify]: Extracting # 6 : cost 0 12.965 * * [simplify]: Extracting # 7 : cost 0 12.972 * * [simplify]: iteration 0 : 1070 enodes (cost 36729 ) 13.579 * * [simplify]: Extracting # 0 : cost 0 13.595 * * [simplify]: Extracting # 1 : cost 0 13.602 * * [simplify]: Extracting # 2 : cost 0 13.608 * * [simplify]: Extracting # 3 : cost 0 13.615 * * [simplify]: Extracting # 4 : cost 0 13.622 * * [simplify]: iteration 1 : 2160 enodes (cost 32089 ) 14.665 * * [simplify]: Extracting # 0 : cost 0 14.679 * * [simplify]: Extracting # 1 : cost 0 14.696 * * [simplify]: Extracting # 2 : cost 0 14.703 * * [simplify]: Extracting # 3 : cost 0 14.711 * * [simplify]: Extracting # 4 : cost 0 14.716 * * [simplify]: iteration 2 : 4188 enodes (cost 24236 ) 15.813 * * [simplify]: Extracting # 0 : cost 0 15.822 * * [simplify]: Extracting # 1 : cost 0 15.828 * * [simplify]: 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a)) a)) (sqrt (/ (- (* 1/2 PI) (asin a)) a)) (- (/ PI 2) (asin a)) (- (* (/ PI 2) a) (* a (asin a))) (* a a) (- (pow (/ (/ PI 2) a) 3) (pow (/ (asin a) a) 3)) (fma (/ (/ PI 2) a) (/ (/ PI 2) a) (* (/ (asin a) a) (+ (/ (/ PI 2) a) (/ (asin a) a)))) (- (/ (asin a) a)) (* (+ (/ (/ PI 2) a) (/ (asin a) a)) (/ (- (* 1/2 PI) (asin a)) a)) (+ (/ (/ PI 2) a) (/ (asin a) a)) (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (asin a) a))) (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))) (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (asin a)) (sqrt a))) (+ (sqrt (/ (asin a) a)) (/ (sqrt (/ PI 2)) (sqrt a))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (asin a) a))) (+ (/ (sqrt (asin a)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt a))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (sqrt (/ (asin a) a))) (+ (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ (sqrt PI) (sqrt 2)) (sqrt a)) (/ (sqrt (asin a)) (sqrt a))) (- (/ (/ PI 2) (cbrt a)) (/ (asin a) (cbrt a))) (- (/ (/ PI 2) (sqrt a)) (/ (asin a) (sqrt a))) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (- (/ PI 2) (asin a)) 0 (- (/ (asin a) a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (* 1/2 (/ PI a)) (/ a (fma PI -1/2 (asin a))) (/ a (fma PI -1/2 (asin a))) (- (/ a (- (* 1/2 PI) (asin a)))) (/ (asin a) a) (/ (asin a) a) (/ (asin a) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (* 1/2 PI) (asin a)) a) (/ (- (fma PI -1/2 (asin a))) a) 15.871 * * * [progress]: adding candidates to table 18.256 * * [progress]: iteration 4 / 4 18.257 * * * [progress]: picking best candidate 18.300 * * * * [pick]: Picked # 18.300 * * * [progress]: localizing error 18.308 * * * [progress]: generating rewritten candidates 18.308 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1) 18.325 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 18.336 * * * [progress]: generating series expansions 18.336 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1) 18.336 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 18.336 * [approximate]: Taking taylor expansion of (/ (acos a) a) in (a) around 0 18.336 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 18.336 * [taylor]: Taking taylor expansion of (acos a) in a 18.336 * [backup-simplify]: Simplify (acos a) into (acos a) 18.336 * [taylor]: Taking taylor expansion of a in a 18.336 * [backup-simplify]: Simplify 0 into 0 18.336 * [backup-simplify]: Simplify 1 into 1 18.336 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 18.336 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 18.336 * [taylor]: Taking taylor expansion of (acos a) in a 18.336 * [backup-simplify]: Simplify (acos a) into (acos a) 18.336 * [taylor]: Taking taylor expansion of a in a 18.336 * [backup-simplify]: Simplify 0 into 0 18.336 * [backup-simplify]: Simplify 1 into 1 18.336 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 18.337 * [backup-simplify]: Simplify (acos a) into (acos a) 18.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 18.338 * [backup-simplify]: Simplify 0 into 0 18.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.339 * [backup-simplify]: Simplify 0 into 0 18.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.340 * [backup-simplify]: Simplify 0 into 0 18.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.341 * [backup-simplify]: Simplify 0 into 0 18.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.343 * [backup-simplify]: Simplify 0 into 0 18.351 * [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 18.351 * [backup-simplify]: Simplify 0 into 0 18.351 * [backup-simplify]: Simplify (* (acos a) (/ 1 a)) into (/ (acos a) a) 18.352 * [backup-simplify]: Simplify (* (acos (/ 1 a)) (/ 1 (/ 1 a))) into (* (acos (/ 1 a)) a) 18.352 * [approximate]: Taking taylor expansion of (* (acos (/ 1 a)) a) in (a) around 0 18.352 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 18.352 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 18.352 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 18.352 * [taylor]: Taking taylor expansion of a in a 18.352 * [backup-simplify]: Simplify 0 into 0 18.352 * [backup-simplify]: Simplify 1 into 1 18.352 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 18.352 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 18.352 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 18.352 * [taylor]: Taking taylor expansion of a in a 18.352 * [backup-simplify]: Simplify 0 into 0 18.352 * [backup-simplify]: Simplify 1 into 1 18.353 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 18.353 * [backup-simplify]: Simplify 0 into 0 18.353 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 18.353 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 18.354 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 18.354 * [backup-simplify]: Simplify 0 into 0 18.355 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.355 * [backup-simplify]: Simplify 0 into 0 18.356 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.356 * [backup-simplify]: Simplify 0 into 0 18.358 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.358 * [backup-simplify]: Simplify 0 into 0 18.359 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 18.359 * [backup-simplify]: Simplify 0 into 0 18.361 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 18.361 * [backup-simplify]: Simplify 0 into 0 18.361 * [backup-simplify]: Simplify (* (acos (/ 1 (/ 1 a))) (/ 1 a)) into (/ (acos a) a) 18.361 * [backup-simplify]: Simplify (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))) into (* -1 (* a (acos (/ -1 a)))) 18.361 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in (a) around 0 18.361 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 18.361 * [taylor]: Taking taylor expansion of -1 in a 18.361 * [backup-simplify]: Simplify -1 into -1 18.361 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 18.361 * [taylor]: Taking taylor expansion of a in a 18.361 * [backup-simplify]: Simplify 0 into 0 18.361 * [backup-simplify]: Simplify 1 into 1 18.361 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 18.361 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 18.361 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ -1 a)))) in a 18.362 * [taylor]: Taking taylor expansion of -1 in a 18.362 * [backup-simplify]: Simplify -1 into -1 18.362 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 18.362 * [taylor]: Taking taylor expansion of a in a 18.362 * [backup-simplify]: Simplify 0 into 0 18.362 * [backup-simplify]: Simplify 1 into 1 18.362 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 18.362 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 18.362 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 18.363 * [backup-simplify]: Simplify (* -1 0) into 0 18.363 * [backup-simplify]: Simplify 0 into 0 18.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 18.364 * [backup-simplify]: Simplify (+ (* -1 (acos (/ -1 a))) (* 0 0)) into (- (acos (/ -1 a))) 18.364 * [backup-simplify]: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) 18.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 18.365 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))) into 0 18.365 * [backup-simplify]: Simplify 0 into 0 18.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 18.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))) into 0 18.368 * [backup-simplify]: Simplify 0 into 0 18.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 18.371 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))) into 0 18.371 * [backup-simplify]: Simplify 0 into 0 18.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 18.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))) into 0 18.375 * [backup-simplify]: Simplify 0 into 0 18.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 18.379 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0))))))) into 0 18.379 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 18.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ -1 a))) (* 0 0)))))))) into 0 18.384 * [backup-simplify]: Simplify 0 into 0 18.385 * [backup-simplify]: Simplify (* (- (acos (/ -1 (/ 1 (- a))))) (/ 1 (- a))) into (/ (acos a) a) 18.385 * * * * [progress]: [ 2 / 2 ] generating series at (2) 18.385 * [backup-simplify]: Simplify (/ 1 (- (* (acos a) (/ 1 a)))) into (* -1 (/ a (acos a))) 18.385 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 18.385 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 18.385 * [taylor]: Taking taylor expansion of -1 in a 18.385 * [backup-simplify]: Simplify -1 into -1 18.385 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 18.385 * [taylor]: Taking taylor expansion of a in a 18.385 * [backup-simplify]: Simplify 0 into 0 18.385 * [backup-simplify]: Simplify 1 into 1 18.385 * [taylor]: Taking taylor expansion of (acos a) in a 18.385 * [backup-simplify]: Simplify (acos a) into (acos a) 18.385 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 18.385 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 18.385 * [taylor]: Taking taylor expansion of -1 in a 18.385 * [backup-simplify]: Simplify -1 into -1 18.385 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 18.385 * [taylor]: Taking taylor expansion of a in a 18.386 * [backup-simplify]: Simplify 0 into 0 18.386 * [backup-simplify]: Simplify 1 into 1 18.386 * [taylor]: Taking taylor expansion of (acos a) in a 18.386 * [backup-simplify]: Simplify (acos a) into (acos a) 18.386 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 18.386 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 18.386 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 18.386 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 18.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 18.387 * [backup-simplify]: Simplify 0 into 0 18.387 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 18.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 18.388 * [backup-simplify]: Simplify 0 into 0 18.389 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 18.390 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 18.390 * [backup-simplify]: Simplify 0 into 0 18.390 * [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 18.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 18.392 * [backup-simplify]: Simplify 0 into 0 18.392 * [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 18.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 18.394 * [backup-simplify]: Simplify 0 into 0 18.395 * [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 18.397 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 18.397 * [backup-simplify]: Simplify 0 into 0 18.397 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 18.397 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 a)) (/ 1 (/ 1 a))))) into (/ -1 (* (acos (/ 1 a)) a)) 18.397 * [approximate]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in (a) around 0 18.397 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 18.397 * [taylor]: Taking taylor expansion of -1 in a 18.397 * [backup-simplify]: Simplify -1 into -1 18.397 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 18.397 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 18.397 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 18.397 * [taylor]: Taking taylor expansion of a in a 18.397 * [backup-simplify]: Simplify 0 into 0 18.397 * [backup-simplify]: Simplify 1 into 1 18.398 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 18.398 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 18.398 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 18.398 * [taylor]: Taking taylor expansion of (/ -1 (* (acos (/ 1 a)) a)) in a 18.398 * [taylor]: Taking taylor expansion of -1 in a 18.398 * [backup-simplify]: Simplify -1 into -1 18.398 * [taylor]: Taking taylor expansion of (* (acos (/ 1 a)) a) in a 18.398 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 18.398 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 18.398 * [taylor]: Taking taylor expansion of a in a 18.399 * [backup-simplify]: Simplify 0 into 0 18.399 * [backup-simplify]: Simplify 1 into 1 18.399 * [backup-simplify]: Simplify (* (acos (/ 1 a)) 0) into 0 18.399 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 1) (* 0 0)) into (acos (/ 1 a)) 18.399 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 18.399 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 18.400 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 1) (* 0 0))) into 0 18.400 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 18.400 * [backup-simplify]: Simplify 0 into 0 18.401 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.402 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 18.402 * [backup-simplify]: Simplify 0 into 0 18.403 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 18.403 * [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 18.403 * [backup-simplify]: Simplify 0 into 0 18.404 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 18.405 * [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 18.405 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 18.407 * [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 18.407 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify (+ (* (acos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 18.409 * [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 18.409 * [backup-simplify]: Simplify 0 into 0 18.409 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 18.410 * [backup-simplify]: Simplify (/ 1 (- (* (acos (/ 1 (- a))) (/ 1 (/ 1 (- a)))))) into (/ 1 (* a (acos (/ -1 a)))) 18.410 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 18.410 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 18.410 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 18.410 * [taylor]: Taking taylor expansion of a in a 18.410 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify 1 into 1 18.410 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 18.410 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 18.410 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 18.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 18.411 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 18.411 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 18.411 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 18.411 * [taylor]: Taking taylor expansion of a in a 18.411 * [backup-simplify]: Simplify 0 into 0 18.411 * [backup-simplify]: Simplify 1 into 1 18.411 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 18.411 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 18.411 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 18.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 18.412 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 18.412 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 18.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 18.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 18.413 * [backup-simplify]: Simplify 0 into 0 18.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 18.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 18.414 * [backup-simplify]: Simplify 0 into 0 18.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 18.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 18.416 * [backup-simplify]: Simplify 0 into 0 18.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 18.419 * [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 18.419 * [backup-simplify]: Simplify 0 into 0 18.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 18.421 * [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 18.421 * [backup-simplify]: Simplify 0 into 0 18.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 18.425 * [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 18.425 * [backup-simplify]: Simplify 0 into 0 18.425 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 18.425 * * * [progress]: simplifying candidates 18.427 * [simplify]: Simplifying: (expm1 (* (acos a) (/ 1 a))) (log1p (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a)) (+ (log (acos a)) (- (log a))) (+ (log (acos a)) (- 0 (log a))) (+ (log (acos a)) (- (log 1) (log a))) (+ (log (acos a)) (log (/ 1 a))) (log (* (acos a) (/ 1 a))) (exp (* (acos a) (/ 1 a))) (* (* (* (acos a) (acos a)) (acos a)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (acos a) (acos a)) (acos a)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (cbrt (* (acos a) (/ 1 a))) (cbrt (* (acos a) (/ 1 a)))) (cbrt (* (acos a) (/ 1 a))) (* (* (* (acos a) (/ 1 a)) (* (acos a) (/ 1 a))) (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (sqrt (* (acos a) (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ (sqrt 1) (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (sqrt (acos a)) (/ 1 (sqrt a))) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (acos a) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (acos a) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (acos a) (/ (sqrt 1) (sqrt a))) (* (acos a) (/ (sqrt 1) 1)) (* (acos a) (/ 1 (* (cbrt a) (cbrt a)))) (* (acos a) (/ 1 (sqrt a))) (* (acos a) (/ 1 1)) (* (acos a) 1) (* (acos a) 1) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (acos a) 1) (expm1 (/ 1 (- (* (acos a) (/ 1 a))))) (log1p (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (log (- (* (acos a) (/ 1 a))))) (- 0 (log (- (* (acos a) (/ 1 a))))) (- (log 1) (log (- (* (acos a) (/ 1 a))))) (log (/ 1 (- (* (acos a) (/ 1 a))))) (exp (/ 1 (- (* (acos a) (/ 1 a))))) (/ (* (* 1 1) 1) (* (* (- (* (acos a) (/ 1 a))) (- (* (acos a) (/ 1 a)))) (- (* (acos a) (/ 1 a))))) (* (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a)))))) (cbrt (/ 1 (- (* (acos a) (/ 1 a))))) (* (* (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 (- (* (acos a) (/ 1 a))))) (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (sqrt (/ 1 (- (* (acos a) (/ 1 a))))) (- 1) (- (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (cbrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- (* (acos a) (/ 1 a))))) (/ (cbrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (- (* (acos a) (/ 1 a)))) (/ (* (cbrt 1) (cbrt 1)) -1) (/ (cbrt 1) (* (acos a) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (* (cbrt 1) (cbrt 1)) (acos a)) (/ (cbrt 1) (- (/ 1 a))) (/ (sqrt 1) (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ (sqrt 1) (cbrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) (sqrt (- (* (acos a) (/ 1 a))))) (/ (sqrt 1) 1) (/ (sqrt 1) (- (* (acos a) (/ 1 a)))) (/ (sqrt 1) -1) (/ (sqrt 1) (* (acos a) (/ 1 a))) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ (sqrt 1) (acos a)) (/ (sqrt 1) (- (/ 1 a))) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (cbrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 (- (* (acos a) (/ 1 a)))) (/ 1 -1) (/ 1 (* (acos a) (/ 1 a))) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (acos a)) (/ 1 (- (/ 1 a))) (/ 1 (- (* (acos a) (/ 1 a)))) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (* (cbrt (- (* (acos a) (/ 1 a)))) (cbrt (- (* (acos a) (/ 1 a)))))) (/ 1 (sqrt (- (* (acos a) (/ 1 a))))) (/ 1 1) (/ 1 -1) (/ 1 (- (acos a))) (/ 1 (acos a)) (/ (- (* (acos a) (/ 1 a))) (cbrt 1)) (/ (- (* (acos a) (/ 1 a))) (sqrt 1)) (/ (- (* (acos a) (/ 1 a))) 1) (/ 1 (- (acos a))) (/ 1 (- (* (acos a) 1))) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 18.430 * * [simplify]: Extracting # 0 : cost 0 18.430 * * [simplify]: Extracting # 1 : cost 0 18.430 * * [simplify]: Extracting # 2 : cost 0 18.431 * * [simplify]: Extracting # 3 : cost 0 18.431 * * [simplify]: Extracting # 4 : cost 0 18.431 * * [simplify]: Extracting # 5 : cost 0 18.432 * * [simplify]: Extracting # 6 : cost 0 18.432 * * [simplify]: Extracting # 7 : cost 0 18.432 * * [simplify]: iteration 0 : 138 enodes (cost 989 ) 18.503 * * [simplify]: Extracting # 0 : cost 0 18.504 * * [simplify]: Extracting # 1 : cost 0 18.504 * * [simplify]: Extracting # 2 : cost 0 18.504 * * [simplify]: Extracting # 3 : cost 0 18.504 * * [simplify]: Extracting # 4 : cost 0 18.505 * * [simplify]: iteration 1 : 288 enodes (cost 700 ) 18.586 * * [simplify]: Extracting # 0 : cost 0 18.586 * * [simplify]: Extracting # 1 : cost 0 18.587 * * [simplify]: Extracting # 2 : cost 0 18.587 * * [simplify]: Extracting # 3 : cost 0 18.588 * * [simplify]: Extracting # 4 : cost 0 18.588 * * [simplify]: Extracting # 5 : cost 0 18.589 * * [simplify]: iteration 2 : 660 enodes (cost 619 ) 19.854 * * [simplify]: Extracting # 0 : cost 0 19.858 * * [simplify]: Extracting # 1 : cost 0 19.861 * * [simplify]: Extracting # 2 : cost 0 19.864 * * [simplify]: Extracting # 3 : cost 0 19.867 * * [simplify]: Extracting # 4 : cost 0 19.870 * * [simplify]: iteration 3 : 2163 enodes (cost 581 ) 22.741 * * [simplify]: Extracting # 0 : cost 0 22.758 * * [simplify]: Extracting # 1 : cost 0 22.767 * * [simplify]: Extracting # 2 : cost 0 22.776 * * [simplify]: iteration done: 5000 enodes (cost 581 ) 22.776 * [simplify]: Simplified to: (expm1 (/ (acos a) a)) (log1p (/ (acos a) a)) (/ (acos a) a) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (log (/ (acos a) a)) (exp (/ (acos a) a)) (pow (/ (acos a) a) 3) (pow (/ (acos a) a) 3) (* (cbrt (/ (acos a) a)) (cbrt (/ (acos a) a))) (cbrt (/ (acos a) a)) (pow (/ (acos a) a) 3) (sqrt (/ (acos a) a)) (sqrt (/ (acos a) a)) (* (sqrt (acos a)) (sqrt (/ 1 a))) (* (sqrt (acos a)) (sqrt (/ 1 a))) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (* (acos a) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (acos a) (sqrt (/ 1 a))) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (/ (acos a) (* (cbrt a) (cbrt a))) (/ (acos a) (sqrt a)) (acos a) (acos a) (acos a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (acos a) (expm1 (- (/ a (acos a)))) (log1p (- (/ a (acos a)))) -1 (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (log (- (/ a (acos a)))) (exp (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (* (cbrt (- (/ a (acos a)))) (cbrt (- (/ a (acos a))))) (cbrt (- (/ a (acos a)))) (pow (- (/ a (acos a))) 3) (sqrt (- (/ a (acos a)))) (sqrt (- (/ a (acos a)))) -1 (/ (acos a) a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 (- (/ a (acos a))) -1 (/ a (acos a)) (/ -1 (acos a)) a (/ 1 (acos a)) (- a) (- (/ a (acos a))) (- (/ (acos a) a)) (/ (/ 1 (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) 1 -1 (/ -1 (acos a)) (/ 1 (acos a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ -1 (acos a)) (/ -1 (acos a)) (/ (acos a) a) (/ (acos a) a) (/ (acos a) a) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 22.777 * * * [progress]: adding candidates to table 22.949 * [progress]: [Phase 3 of 3] Extracting. 22.949 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 22.952 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 22.952 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # # # # #) 23.016 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # #) 23.085 * * * [regime]: Found split indices: #