86.592 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.035 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.035 * [simplify]: Simplifying: (/ a (- (acos a))) 0.035 * * [simplify]: iteration 0: 4 enodes 0.036 * * [simplify]: iteration complete: 4 enodes 0.036 * * [simplify]: Extracting #0: cost 1 inf + 0 0.036 * * [simplify]: Extracting #1: cost 3 inf + 0 0.036 * * [simplify]: Extracting #2: cost 3 inf + 1 0.036 * * [simplify]: Extracting #3: cost 0 inf + 394 0.037 * [simplify]: Simplified to: (/ a (- (acos a))) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.053 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.054 * [taylor]: Taking taylor expansion of -1 in a 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (acos a) in a 0.054 * [backup-simplify]: Simplify (acos a) into (acos a) 0.054 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.054 * [taylor]: Taking taylor expansion of -1 in a 0.054 * [backup-simplify]: Simplify -1 into -1 0.054 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.054 * [taylor]: Taking taylor expansion of a in a 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 1 into 1 0.054 * [taylor]: Taking taylor expansion of (acos a) in a 0.054 * [backup-simplify]: Simplify (acos a) into (acos a) 0.054 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.054 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.054 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.055 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.055 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.057 * [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 0.058 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.058 * [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 0.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [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 0.064 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.064 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.064 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.064 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.064 * [taylor]: Taking taylor expansion of -1 in a 0.064 * [backup-simplify]: Simplify -1 into -1 0.064 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.065 * [taylor]: Taking taylor expansion of a in a 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.065 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.065 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.065 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.066 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 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 (* a (acos (/ 1 a))) in 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 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.066 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.066 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.067 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.068 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.072 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.072 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.075 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.078 * [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 0.078 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.081 * [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 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.082 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.082 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.082 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.082 * [taylor]: Taking taylor expansion of a in a 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.082 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.082 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.083 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.083 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.083 * [taylor]: Taking taylor expansion of a in a 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.083 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.083 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.084 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.084 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.089 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.091 * [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 0.091 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.107 * * * [progress]: simplifying candidates 0.107 * * * * [progress]: [ 1 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 2 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 3 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 4 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 5 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 6 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 7 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 8 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 9 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 10 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 11 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 12 / 61 ] simplifiying candidate # 0.107 * * * * [progress]: [ 13 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 14 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 15 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 16 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 17 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 18 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 19 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 20 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 21 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 22 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 23 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 24 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 25 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 26 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 27 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 28 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 29 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 30 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 31 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 32 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 33 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 34 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 35 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 36 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 37 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 38 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 39 / 61 ] simplifiying candidate # 0.108 * * * * [progress]: [ 40 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 41 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 42 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 43 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 44 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 45 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 46 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 47 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 48 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 49 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 50 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 51 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 52 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 53 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 54 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 55 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 56 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 57 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 58 / 61 ] simplifiying candidate #real (real->posit16 (/ a (- (acos a))))))> 0.109 * * * * [progress]: [ 59 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 60 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 61 / 61 ] simplifiying candidate # 0.110 * [simplify]: Simplifying: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (- (log a) (log (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (/ (* (* a a) a) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (* (/ a (- (acos a))) (/ a (- (acos a)))) (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (- (- (acos a))) (/ (* (cbrt a) (cbrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (- (acos a)))) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (* (cbrt a) (cbrt a)) -1) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- 1)) (/ (cbrt a) (acos a)) (/ (* (cbrt a) (cbrt a)) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (/ (* (cbrt a) (cbrt a)) 1) (/ (cbrt a) (- (acos a))) (/ (sqrt a) (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- 1)) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) 1) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 -1) (/ a (acos a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (/ 1 (- 1)) (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (/ 1 1) (/ a (- (acos a))) (/ 1 (- (acos a))) (/ (- (acos a)) a) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) (/ a 1) (/ a -1) (/ a (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ a (- (sqrt (acos a)))) (/ a (- 1)) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) (/ a 1) (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (real->posit16 (/ a (- (acos a)))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 0.111 * * [simplify]: iteration 0: 97 enodes 0.131 * * [simplify]: iteration 1: 174 enodes 0.191 * * [simplify]: iteration 2: 438 enodes 0.372 * * [simplify]: iteration 3: 1207 enodes 0.663 * * [simplify]: iteration 4: 2013 enodes 1.164 * * [simplify]: iteration complete: 2013 enodes 1.164 * * [simplify]: Extracting #0: cost 66 inf + 0 1.165 * * [simplify]: Extracting #1: cost 436 inf + 85 1.168 * * [simplify]: Extracting #2: cost 769 inf + 7367 1.183 * * [simplify]: Extracting #3: cost 307 inf + 107308 1.211 * * [simplify]: Extracting #4: cost 44 inf + 172433 1.234 * * [simplify]: Extracting #5: cost 0 inf + 181745 1.265 * [simplify]: Simplified to: (expm1 (/ a (- (acos a)))) (log1p (/ a (- (acos a)))) (log (/ a (- (acos a)))) (log (/ a (- (acos a)))) (exp (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (/ a (- (acos a))) (* (/ a (- (acos a))) (/ a (- (acos a))))) (sqrt (/ a (- (acos a)))) (sqrt (/ a (- (acos a)))) (- a) (acos a) (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) (/ (cbrt a) (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (cbrt a) (acos a)) (/ (* (/ (cbrt a) (cbrt (acos a))) (cbrt a)) (- (cbrt (acos a)))) (/ (cbrt a) (cbrt (acos a))) (/ (* (cbrt a) (cbrt a)) (- (sqrt (acos a)))) (/ (cbrt a) (sqrt (acos a))) (* (/ (cbrt a) -1) (cbrt a)) (/ (cbrt a) (acos a)) (* (/ (cbrt a) (cbrt (acos a))) (/ (cbrt a) (cbrt (acos a)))) (/ (cbrt a) (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (/ (/ (sqrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ (sqrt a) (cbrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (/ (sqrt a) (sqrt (- (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (/ (sqrt a) (- (cbrt (acos a)))) (cbrt (acos a))) (/ (sqrt a) (cbrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) -1) (/ (sqrt a) (acos a)) (/ (sqrt a) (* (cbrt (acos a)) (cbrt (acos a)))) (/ (sqrt a) (- (cbrt (acos a)))) (/ (sqrt a) (sqrt (acos a))) (/ (sqrt a) (- (sqrt (acos a)))) (sqrt a) (/ (sqrt a) (- (acos a))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (cbrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) 1 (/ a (- (acos a))) -1 (/ a (acos a)) (/ (/ 1 (- (cbrt (acos a)))) (cbrt (acos a))) (/ a (cbrt (acos a))) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) -1 (/ a (acos a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) (- (/ (acos a) a)) (/ a (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ a (sqrt (- (acos a)))) a (/ a -1) (/ (/ a (- (cbrt (acos a)))) (cbrt (acos a))) (/ a (- (sqrt (acos a)))) (/ a -1) (/ a (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (sqrt (acos a))) a (- (/ (acos a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (/ (acos a) a)) (real->posit16 (/ a (- (acos a)))) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 1.267 * * * [progress]: adding candidates to table 1.464 * * [progress]: iteration 2 / 4 1.464 * * * [progress]: picking best candidate 1.504 * * * * [pick]: Picked # 1.504 * * * [progress]: localizing error 1.514 * * * [progress]: generating rewritten candidates 1.514 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.521 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.531 * * * [progress]: generating series expansions 1.531 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.531 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 1.531 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 1.531 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.531 * [taylor]: Taking taylor expansion of -1 in a 1.531 * [backup-simplify]: Simplify -1 into -1 1.531 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.531 * [taylor]: Taking taylor expansion of a in a 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 1 into 1 1.531 * [taylor]: Taking taylor expansion of (acos a) in a 1.532 * [backup-simplify]: Simplify (acos a) into (acos a) 1.532 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.532 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 1.532 * [taylor]: Taking taylor expansion of -1 in a 1.532 * [backup-simplify]: Simplify -1 into -1 1.532 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 1.532 * [taylor]: Taking taylor expansion of a in a 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of (acos a) in a 1.532 * [backup-simplify]: Simplify (acos a) into (acos a) 1.532 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 1.532 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 1.532 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 1.532 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 1.533 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.536 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 1.539 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 1.539 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 1.539 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 1.539 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.539 * [taylor]: Taking taylor expansion of -1 in a 1.539 * [backup-simplify]: Simplify -1 into -1 1.539 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.539 * [taylor]: Taking taylor expansion of a in a 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.539 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.539 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.540 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.540 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 1.540 * [taylor]: Taking taylor expansion of -1 in a 1.540 * [backup-simplify]: Simplify -1 into -1 1.540 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.540 * [taylor]: Taking taylor expansion of a in a 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.540 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.540 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.541 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.541 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 1.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.541 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 1.541 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.542 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.542 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.544 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.545 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.545 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.548 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.548 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.556 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 1.556 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 1.556 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 1.556 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.556 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.556 * [taylor]: Taking taylor expansion of a in a 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 1 into 1 1.556 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.556 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.556 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.557 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.557 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 1.557 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.557 * [taylor]: Taking taylor expansion of a in a 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.557 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.557 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.558 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.558 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 1.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.561 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.562 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 1.566 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.566 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 1.567 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 1.567 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.567 * [taylor]: Taking taylor expansion of -1 in a 1.567 * [backup-simplify]: Simplify -1 into -1 1.567 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.567 * [taylor]: Taking taylor expansion of (acos a) in a 1.567 * [backup-simplify]: Simplify (acos a) into (acos a) 1.567 * [taylor]: Taking taylor expansion of a in a 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.567 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 1.567 * [taylor]: Taking taylor expansion of -1 in a 1.567 * [backup-simplify]: Simplify -1 into -1 1.567 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 1.567 * [taylor]: Taking taylor expansion of (acos a) in a 1.567 * [backup-simplify]: Simplify (acos a) into (acos a) 1.567 * [taylor]: Taking taylor expansion of a in a 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 1.567 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.567 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 1.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.581 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 1.581 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 1.581 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.581 * [taylor]: Taking taylor expansion of -1 in a 1.581 * [backup-simplify]: Simplify -1 into -1 1.581 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.581 * [taylor]: Taking taylor expansion of a in a 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.582 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.582 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 1.582 * [taylor]: Taking taylor expansion of -1 in a 1.582 * [backup-simplify]: Simplify -1 into -1 1.582 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 1.582 * [taylor]: Taking taylor expansion of a in a 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 1 into 1 1.582 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 1.582 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 1.582 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 1.582 * [backup-simplify]: Simplify (* -1 0) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 1.583 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 1.583 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 1.584 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 1.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 1.588 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 1.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 1.594 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 1.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 1.598 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 1.598 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 1.598 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.598 * [taylor]: Taking taylor expansion of a in a 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.598 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.598 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 1.598 * [taylor]: Taking taylor expansion of a in a 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 1.598 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.598 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 1.599 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 1.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 1.599 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 1.605 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 1.608 * * * [progress]: simplifying candidates 1.608 * * * * [progress]: [ 1 / 229 ] simplifiying candidate # 1.608 * * * * [progress]: [ 2 / 229 ] simplifiying candidate # 1.608 * * * * [progress]: [ 3 / 229 ] simplifiying candidate # 1.608 * * * * [progress]: [ 4 / 229 ] simplifiying candidate # 1.608 * * * * 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1.621 * * * * [progress]: [ 221 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 222 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 223 / 229 ] simplifiying candidate #real (real->posit16 (/ (- (acos a)) a)))))> 1.621 * * * * [progress]: [ 224 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 225 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 226 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 227 / 229 ] simplifiying candidate # 1.621 * * * * [progress]: [ 228 / 229 ] simplifiying candidate # 1.622 * * * * [progress]: [ 229 / 229 ] simplifiying candidate # 1.626 * [simplify]: Simplifying: (expm1 (/ 1 (/ (- (acos a)) a))) (log1p (/ 1 (/ (- (acos a)) a))) (- 1) (- (- (log (- (acos a))) (log a))) (- (log (/ (- (acos a)) a))) (- 0 (- (log (- (acos a))) (log a))) (- 0 (log (/ (- (acos a)) a))) (- (log 1) (- (log (- (acos a))) (log a))) (- (log 1) (log (/ (- (acos a)) a))) (log (/ 1 (/ (- (acos a)) a))) (exp (/ 1 (/ (- (acos a)) a))) (/ (* (* 1 1) 1) (/ (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* a a) a))) (/ (* (* 1 1) 1) (* (* (/ (- (acos a)) a) (/ (- (acos a)) a)) (/ (- (acos a)) a))) (* (cbrt (/ 1 (/ (- (acos a)) a))) (cbrt (/ 1 (/ (- (acos a)) a)))) (cbrt (/ 1 (/ (- (acos a)) a))) (* (* (/ 1 (/ (- (acos a)) a)) (/ 1 (/ (- (acos a)) a))) (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (sqrt (/ 1 (/ (- (acos a)) a))) (- 1) (- (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (- (acos a)) a)) (cbrt (/ (- (acos a)) a)))) (/ (cbrt 1) (cbrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (- (acos a)) a))) (/ (cbrt 1) (sqrt (/ (- (acos a)) a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (- (acos a))) (cbrt (- (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (- (acos a))) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (- (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (- (acos a))) a)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt a))) (/ (cbrt 1) (/ (- (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (- (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (cbrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a))) (/ (cbrt 1) (/ (cbrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) 1)) (/ (cbrt 1) (/ (cbrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (sqrt (acos a)) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (sqrt (acos a)) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- (sqrt (acos a))) 1)) (/ (cbrt 1) (/ (sqrt (acos a)) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (acos a) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt a))) (/ (cbrt 1) (/ (acos a) (sqrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (acos a) a)) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (* (cbrt a) (cbrt a)))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (cbrt a))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (cbrt 1) (/ (- (cbrt (acos a))) (sqrt a))) (/ (* 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1 a) (cbrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (* a (/ 1 (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ 1 (- (/ (cbrt (acos a)) a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (* (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a))))) (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (/ 1 (sqrt (- (/ (acos a) a)))) (* (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a)))) (* (cbrt a) (/ 1 (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a)))))) (/ (* 1 (sqrt a)) (cbrt (- (acos a)))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (/ 1 (/ (cbrt (- (acos a))) a)) (* (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (sqrt (- (acos a))))) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (/ 1 (sqrt (- (acos a)))) (* (/ 1 (sqrt (- (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (cbrt (acos a))) (cbrt a)) (* (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (sqrt a)) (/ (* 1 (sqrt a)) (cbrt (acos a))) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (/ (* 1 a) (cbrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (sqrt (acos a)) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (* a (/ 1 (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (* (/ 1 (acos a)) (cbrt a)) (- (sqrt a)) (* (sqrt a) (/ 1 (acos a))) -1 (/ (* 1 a) (acos a)) (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (- (cbrt (acos a))) (cbrt a))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (* 1 (sqrt a)) (- (cbrt (acos a)))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (/ 1 (- (/ (cbrt (acos a)) a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (cbrt a) (/ 1 (- (sqrt (acos a))))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (sqrt (acos a))) (* (/ 1 (- (sqrt (acos a)))) a) (* (cbrt a) (cbrt a)) (* (cbrt a) (/ 1 (- (acos a)))) (sqrt a) (/ (* 1 (sqrt a)) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) 1 (/ (* 1 a) (- (acos a))) (/ 1 (- (acos a))) a (/ (* 1 a) (- (acos a))) (- (/ (acos a) a)) (* (/ 1 (cbrt (- (/ (acos a) a)))) (/ 1 (cbrt (- (/ (acos a) a))))) (/ 1 (sqrt (- (/ (acos a) a)))) (* (/ 1 (/ (cbrt (- (acos a))) (cbrt a))) (/ 1 (/ (cbrt (- (acos a))) (cbrt a)))) (/ 1 (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a)))))) (/ 1 (* (cbrt (- (acos a))) (cbrt (- (acos a))))) (* (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (- (acos a)))) (sqrt a)) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ 1 (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))))) (* (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (sqrt a)) (/ 1 (- (* (cbrt (acos a)) (cbrt (acos a))))) (* (/ 1 (- (sqrt (acos a)))) (* (cbrt a) (cbrt a))) (/ 1 (/ (- (sqrt (acos a))) (sqrt a))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (* (/ 1 (/ (cbrt (acos a)) (cbrt a))) (/ 1 (/ (cbrt (acos a)) (cbrt a)))) (/ 1 (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a))) (/ (/ 1 (cbrt (acos a))) (cbrt (acos a))) (* (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (sqrt (acos a))) (* (cbrt a) (cbrt a)) (sqrt a) 1 1 (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (real->posit16 (/ (* 1 a) (- (acos a)))) (expm1 (- (/ (acos a) a))) (log1p (- (/ (acos a) a))) (log (- (/ (acos a) a))) (log (- (/ (acos a) a))) (exp (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (acos a) (- a) 0 (/ (acos a) a) (* (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (cbrt a))) (/ (cbrt (- (acos a))) (cbrt a)) (/ (cbrt (- (acos a))) (/ (sqrt a) (cbrt (- (acos a))))) (/ (cbrt (- (acos a))) (sqrt a)) (* (cbrt (- (acos a))) (cbrt (- (acos a)))) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (- (acos a))) (cbrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (sqrt (- (acos a))) (/ (sqrt (- (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (- (/ (acos a) a)) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (- (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a)))) (/ (cbrt (acos a)) (cbrt a)) (/ (- (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (cbrt (acos a)) (sqrt a)) (- (* (cbrt (acos a)) (cbrt (acos a)))) (/ (cbrt (acos a)) a) (/ (- (sqrt (acos a))) (* (cbrt a) (cbrt a))) (/ (sqrt (acos a)) (cbrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (/ (sqrt (acos a)) (sqrt a)) (- (sqrt (acos a))) (/ (sqrt (acos a)) a) (/ -1 (* (cbrt a) (cbrt a))) (/ (acos a) (cbrt a)) (/ -1 (sqrt a)) (/ (acos a) (sqrt a)) -1 (/ (acos a) a) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (* (cbrt (acos a)) (cbrt (acos a))) (sqrt a)) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (- (/ (cbrt (acos a)) a)) (/ (sqrt (acos a)) (* (cbrt a) (cbrt a))) (- (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (/ (- (sqrt (acos a))) (sqrt a)) (sqrt (acos a)) (- (/ (sqrt (acos a)) a)) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (- (/ (acos a) a)) (/ 1 a) (/ a (- (acos a))) (/ (acos a) a) (/ (- (acos a)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (/ a (cbrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (/ a (- (acos a))) (/ a (acos a)) (/ a (cbrt (acos a))) (/ a (sqrt (acos a))) (/ a (acos a)) (/ a (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (/ a (- (acos a))) (real->posit16 (- (/ (acos a) a))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ (- (acos a)) a) (/ (- (acos a)) a) (/ (- (acos a)) a) 2.746 * * * [progress]: adding candidates to table 3.476 * * [progress]: iteration 3 / 4 3.476 * * * [progress]: picking best candidate 3.517 * * * * [pick]: Picked # 3.517 * * * [progress]: localizing error 3.542 * * * [progress]: generating rewritten candidates 3.542 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 3.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.571 * * * [progress]: generating series expansions 3.571 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 3.571 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.571 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 3.571 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.571 * [taylor]: Taking taylor expansion of -1 in a 3.571 * [backup-simplify]: Simplify -1 into -1 3.571 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.571 * [taylor]: Taking taylor expansion of (acos a) in a 3.571 * [backup-simplify]: Simplify (acos a) into (acos a) 3.571 * [taylor]: Taking taylor expansion of a in a 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.571 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 3.571 * [taylor]: Taking taylor expansion of -1 in a 3.571 * [backup-simplify]: Simplify -1 into -1 3.571 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 3.571 * [taylor]: Taking taylor expansion of (acos a) in a 3.571 * [backup-simplify]: Simplify (acos a) into (acos a) 3.571 * [taylor]: Taking taylor expansion of a in a 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 3.571 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.571 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 3.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 3.573 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.576 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 3.576 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.589 * [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 3.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.591 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 3.591 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 3.591 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 3.591 * [taylor]: Taking taylor expansion of -1 in a 3.591 * [backup-simplify]: Simplify -1 into -1 3.591 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.591 * [taylor]: Taking taylor expansion of a in a 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.591 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.591 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 3.591 * [taylor]: Taking taylor expansion of -1 in a 3.591 * [backup-simplify]: Simplify -1 into -1 3.591 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.591 * [taylor]: Taking taylor expansion of a in a 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.591 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.591 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.592 * [backup-simplify]: Simplify (* -1 0) into 0 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.592 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 3.593 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 3.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 3.594 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 3.597 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 3.600 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 3.600 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 3.604 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 3.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 3.609 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 3.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 3.615 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 3.615 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 3.615 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.615 * [taylor]: Taking taylor expansion of a in a 3.615 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify 1 into 1 3.615 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.616 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.616 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.616 * [taylor]: Taking taylor expansion of a in a 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.616 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.616 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.616 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.617 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.619 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.623 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 3.627 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.627 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 3.627 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 3.627 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.627 * [taylor]: Taking taylor expansion of -1 in a 3.627 * [backup-simplify]: Simplify -1 into -1 3.627 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.627 * [taylor]: Taking taylor expansion of a in a 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of (acos a) in a 3.627 * [backup-simplify]: Simplify (acos a) into (acos a) 3.627 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.627 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 3.627 * [taylor]: Taking taylor expansion of -1 in a 3.627 * [backup-simplify]: Simplify -1 into -1 3.627 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 3.627 * [taylor]: Taking taylor expansion of a in a 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 1 into 1 3.627 * [taylor]: Taking taylor expansion of (acos a) in a 3.627 * [backup-simplify]: Simplify (acos a) into (acos a) 3.627 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 3.627 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 3.627 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 3.627 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 3.628 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.630 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [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 3.631 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [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 3.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 3.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 3.635 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 3.635 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 3.635 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.635 * [taylor]: Taking taylor expansion of -1 in a 3.635 * [backup-simplify]: Simplify -1 into -1 3.635 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.635 * [taylor]: Taking taylor expansion of a in a 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.636 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.636 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.636 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.636 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.636 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 3.636 * [taylor]: Taking taylor expansion of -1 in a 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 3.636 * [taylor]: Taking taylor expansion of a in a 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 1 into 1 3.636 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 3.636 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 3.636 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 3.637 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.637 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 3.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 3.638 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 3.639 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 3.640 * [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 3.640 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 3.642 * [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 3.642 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 3.644 * [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 3.644 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 3.646 * [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 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 3.647 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 3.647 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 3.647 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.647 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.647 * [taylor]: Taking taylor expansion of a in a 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.647 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.647 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.647 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.647 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 3.647 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 3.647 * [taylor]: Taking taylor expansion of a in a 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 3.648 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 3.648 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 3.648 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.648 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 3.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 3.649 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 3.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 3.651 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 3.653 * [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 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 3.655 * [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 3.655 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 3.657 * [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 3.657 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 3.657 * * * [progress]: simplifying candidates 3.657 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 3.657 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 27 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 3.658 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #real (real->posit16 (* (- (acos a)) (/ 1 a))))))> 3.659 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 3.659 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 83 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 87 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 3.660 * * * * [progress]: [ 90 / 96 ] simplifiying candidate #real (real->posit16 (/ 1 (* (- (acos a)) (/ 1 a))))))> 3.660 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 3.661 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 3.661 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 3.661 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 3.661 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 3.661 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 3.661 * [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) (/ 1 a)) (* (- (acos a)) (* (cbrt (/ 1 a)) (cbrt (/ 1 a)))) (* (- (acos a)) (sqrt (/ 1 a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) (sqrt a))) (* (- (acos a)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (- (acos a)) (/ (sqrt 1) (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ (sqrt 1) (sqrt a))) (* (- (acos a)) (/ (sqrt 1) 1)) (* (- (acos a)) (/ 1 (* (cbrt a) (cbrt a)))) (* (- (acos a)) (/ 1 (sqrt a))) (* (- (acos a)) (/ 1 1)) (* (- (acos a)) 1) (* (- (acos a)) 1) (* (cbrt (- (acos a))) (/ 1 a)) (* (sqrt (- (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (cbrt (acos a)) (/ 1 a)) (* (sqrt (acos a)) (/ 1 a)) (* (acos a) (/ 1 a)) (* (- (cbrt (acos a))) (/ 1 a)) (* (- (sqrt (acos a))) (/ 1 a)) (* (- (acos a)) (/ 1 a)) (* (- (acos a)) 1) (real->posit16 (* (- (acos a)) (/ 1 a))) (expm1 (/ 1 (* (- (acos a)) (/ 1 a)))) (log1p (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- 1) (- (+ (log (- (acos a))) (- (log a)))) (- (+ (log (- (acos a))) (- 0 (log a)))) (- (+ (log (- (acos a))) (- (log 1) (log a)))) (- (+ (log (- (acos a))) (log (/ 1 a)))) (- (log (* (- (acos a)) (/ 1 a)))) (- 0 (+ (log (- (acos a))) (- (log a)))) (- 0 (+ (log (- (acos a))) (- 0 (log a)))) (- 0 (+ (log (- (acos a))) (- (log 1) (log a)))) (- 0 (+ (log (- (acos a))) (log (/ 1 a)))) (- 0 (log (* (- (acos a)) (/ 1 a)))) (- (log 1) (+ (log (- (acos a))) (- (log a)))) (- (log 1) (+ (log (- (acos a))) (- 0 (log a)))) (- (log 1) (+ (log (- (acos a))) (- (log 1) (log a)))) (- (log 1) (+ (log (- (acos a))) (log (/ 1 a)))) (- (log 1) (log (* (- (acos a)) (/ 1 a)))) (log (/ 1 (* (- (acos a)) (/ 1 a)))) (exp (/ 1 (* (- (acos a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (/ (* (* 1 1) 1) (* (* a a) a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))) (/ (* (* 1 1) 1) (* (* (* (- (acos a)) (/ 1 a)) (* (- (acos a)) (/ 1 a))) (* (- (acos a)) (/ 1 a)))) (* (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a))))) (cbrt (/ 1 (* (- (acos a)) (/ 1 a)))) (* (* (/ 1 (* (- (acos a)) (/ 1 a))) (/ 1 (* (- (acos a)) (/ 1 a)))) (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (sqrt (/ 1 (* (- (acos a)) (/ 1 a)))) (- 1) (- (* (- (acos a)) (/ 1 a))) (/ (* (cbrt 1) (cbrt 1)) (- (acos a))) (/ (cbrt 1) (/ 1 a)) (/ (sqrt 1) (- (acos a))) (/ (sqrt 1) (/ 1 a)) (/ 1 (- (acos a))) (/ 1 (/ 1 a)) (/ 1 (* (- (acos a)) (/ 1 a))) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ (* (- (acos a)) (/ 1 a)) (cbrt 1)) (/ (* (- (acos a)) (/ 1 a)) (sqrt 1)) (/ (* (- (acos a)) (/ 1 a)) 1) (/ 1 (- (acos a))) (/ 1 (* (- (acos a)) 1)) (real->posit16 (/ 1 (* (- (acos a)) (/ 1 a)))) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ (acos a) a)) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) (* -1 (/ a (acos a))) 3.663 * * [simplify]: iteration 0: 131 enodes 3.747 * * [simplify]: iteration 1: 359 enodes 3.855 * * [simplify]: iteration 2: 926 enodes 4.179 * * [simplify]: iteration 3: 2009 enodes 4.511 * * [simplify]: iteration complete: 2009 enodes 4.511 * * [simplify]: Extracting #0: cost 42 inf + 0 4.513 * * [simplify]: Extracting #1: cost 331 inf + 2 4.519 * * [simplify]: Extracting #2: cost 371 inf + 14328 4.536 * * [simplify]: Extracting #3: cost 129 inf + 70209 4.552 * * [simplify]: Extracting #4: cost 23 inf + 97813 4.575 * * [simplify]: Extracting #5: cost 8 inf + 101378 4.593 * * [simplify]: Extracting #6: cost 0 inf + 104604 4.611 * [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))) (/ (/ (* (* (acos a) (- (acos a))) (acos a)) a) (* a a)) (* (* (* (* (acos a) (- (acos a))) (acos a)) (/ 1 a)) (/ (/ 1 a) a)) (* (cbrt (- (/ (acos a) a))) (cbrt (- (/ (acos a) a)))) (cbrt (- (/ (acos a) a))) (* (* (/ (acos a) a) (/ (acos a) a)) (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (sqrt (- (/ (acos a) a))) (* (sqrt (/ 1 a)) (sqrt (- (acos a)))) (* (sqrt (/ 1 a)) (sqrt (- (acos a)))) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (sqrt (- (acos a))) (sqrt a)) (/ (acos a) a) (* (cbrt (/ 1 a)) (* (cbrt (/ 1 a)) (- (acos a)))) (* (- (sqrt (/ 1 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)) (* (cbrt a) (cbrt a))) (/ (- (acos a)) (sqrt a)) (- (acos a)) (- (acos a)) (- (acos a)) (/ (cbrt (- (acos a))) a) (/ (sqrt (- (acos a))) a) (- (/ (acos a) a)) (/ (acos a) a) (/ (cbrt (acos a)) a) (/ (sqrt (acos a)) a) (/ (acos a) a) (- (/ (cbrt (acos a)) a)) (- (/ (sqrt (acos a)) a)) (- (/ (acos a) a)) (- (acos a)) (real->posit16 (- (/ (acos a) a))) (expm1 (/ 1 (- (/ (acos a) a)))) (log1p (/ 1 (- (/ (acos a) a)))) -1 -1 (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (- (log (- (/ (acos a) a)))) (exp (/ 1 (- (/ (acos a) a)))) (* (/ (* a a) (* (acos a) (- (acos a)))) (/ a (acos a))) (/ (/ a (/ (/ 1 a) a)) (* (* (acos a) (- (acos a))) (acos a))) (/ (/ 1 (- (/ (acos a) a))) (* (/ (acos a) a) (/ (acos a) a))) (* (cbrt (/ 1 (- (/ (acos a) a)))) (cbrt (/ 1 (- (/ (acos a) a))))) (cbrt (/ 1 (- (/ (acos a) a)))) (/ (/ 1 (- (/ (acos a) a))) (* (/ (acos a) a) (/ (acos a) a))) (sqrt (/ 1 (- (/ (acos a) a)))) (sqrt (/ 1 (- (/ (acos a) a)))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (/ (acos a) a))) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (real->posit16 (/ 1 (- (/ (acos a) a)))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 4.617 * * * [progress]: adding candidates to table 4.904 * * [progress]: iteration 4 / 4 4.905 * * * [progress]: picking best candidate 4.933 * * * * [pick]: Picked # 4.933 * * * [progress]: localizing error 4.946 * * * [progress]: generating rewritten candidates 4.946 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.975 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.018 * * * [progress]: generating series expansions 5.018 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.019 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 5.019 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 5.019 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.019 * [taylor]: Taking taylor expansion of -1 in a 5.019 * [backup-simplify]: Simplify -1 into -1 5.019 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.019 * [taylor]: Taking taylor expansion of a in a 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.019 * [taylor]: Taking taylor expansion of (acos a) in a 5.019 * [backup-simplify]: Simplify (acos a) into (acos a) 5.019 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.019 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 5.019 * [taylor]: Taking taylor expansion of -1 in a 5.019 * [backup-simplify]: Simplify -1 into -1 5.019 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 5.019 * [taylor]: Taking taylor expansion of a in a 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.020 * [taylor]: Taking taylor expansion of (acos a) in a 5.020 * [backup-simplify]: Simplify (acos a) into (acos a) 5.020 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 5.020 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 5.020 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.020 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 5.021 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.023 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 5.025 * [backup-simplify]: Simplify 0 into 0 5.026 * [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 5.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 5.028 * [backup-simplify]: Simplify 0 into 0 5.028 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 5.031 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 5.035 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 5.035 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 5.035 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.035 * [taylor]: Taking taylor expansion of -1 in a 5.035 * [backup-simplify]: Simplify -1 into -1 5.035 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.035 * [taylor]: Taking taylor expansion of a in a 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.036 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.036 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.036 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.037 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.037 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 5.037 * [taylor]: Taking taylor expansion of -1 in a 5.037 * [backup-simplify]: Simplify -1 into -1 5.037 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 5.037 * [taylor]: Taking taylor expansion of a in a 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.037 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.037 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 5.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 5.038 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.038 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 5.039 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.040 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 5.042 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.042 * [backup-simplify]: Simplify 0 into 0 5.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 5.044 * [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 5.044 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 5.049 * [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 5.049 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 5.053 * [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 5.053 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 5.057 * [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 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 5.057 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 5.057 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 5.057 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.057 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.058 * [taylor]: Taking taylor expansion of a in a 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.058 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.058 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.059 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.059 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 5.059 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 5.059 * [taylor]: Taking taylor expansion of a in a 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.059 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.059 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 5.060 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.060 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 5.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 5.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.061 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 5.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 5.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.065 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 5.068 * [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 5.068 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 5.071 * [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 5.072 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 5.075 * [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 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 5.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.076 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 5.076 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 5.076 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.076 * [taylor]: Taking taylor expansion of -1 in a 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [taylor]: Taking taylor expansion of (acos a) in a 5.076 * [backup-simplify]: Simplify (acos a) into (acos a) 5.076 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.076 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 5.076 * [taylor]: Taking taylor expansion of -1 in a 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [taylor]: Taking taylor expansion of (acos a) in a 5.076 * [backup-simplify]: Simplify (acos a) into (acos a) 5.076 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.076 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.077 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 5.077 * [backup-simplify]: Simplify 0 into 0 5.078 * [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 5.078 * [backup-simplify]: Simplify 0 into 0 5.078 * [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 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [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 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 5.079 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 5.079 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 5.079 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.079 * [taylor]: Taking taylor expansion of -1 in a 5.079 * [backup-simplify]: Simplify -1 into -1 5.079 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.079 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.079 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.079 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 5.079 * [taylor]: Taking taylor expansion of -1 in a 5.079 * [backup-simplify]: Simplify -1 into -1 5.079 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 5.079 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 5.079 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.080 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 5.080 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 5.080 * [backup-simplify]: Simplify 0 into 0 5.081 * [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 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [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 5.081 * [backup-simplify]: Simplify 0 into 0 5.082 * [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 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [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 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 5.082 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 5.082 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 5.082 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.082 * [taylor]: Taking taylor expansion of -1 in a 5.083 * [backup-simplify]: Simplify -1 into -1 5.083 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.083 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.083 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.083 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 5.083 * [taylor]: Taking taylor expansion of -1 in a 5.083 * [backup-simplify]: Simplify -1 into -1 5.083 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 5.083 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 5.083 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.083 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 5.083 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.084 * [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 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [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 5.085 * [backup-simplify]: Simplify 0 into 0 5.085 * [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 5.085 * [backup-simplify]: Simplify 0 into 0 5.086 * [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 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 5.086 * * * [progress]: simplifying candidates 5.086 * * * * [progress]: [ 1 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 2 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 3 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 4 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 5 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 6 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 7 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 8 / 592 ] simplifiying candidate # 5.086 * * * * [progress]: [ 9 / 592 ] simplifiying candidate 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] simplifiying candidate # 5.102 * * * * [progress]: [ 104 / 592 ] simplifiying candidate # 5.102 * * * * [progress]: [ 105 / 592 ] simplifiying candidate # 5.102 * * * * [progress]: [ 106 / 592 ] simplifiying candidate # 5.102 * * * * [progress]: [ 107 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 108 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 109 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 110 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 111 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 112 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 113 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 114 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 115 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 116 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 117 / 592 ] simplifiying candidate # 5.103 * * * * [progress]: [ 118 / 592 ] simplifiying candidate 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candidate # 5.153 * [simplify]: Simplifying: (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) (- (- (log (- (acos a)))) (- (log a))) (- (- (log (- (acos a)))) (- 0 (log a))) (- (- (log (- (acos a)))) (- (log 1) (log a))) (- (- (log (- (acos a)))) (log (/ 1 a))) (- (- 0 (log (- (acos a)))) (- (log a))) (- (- 0 (log (- (acos a)))) (- 0 (log a))) (- (- 0 (log (- (acos a)))) (- (log 1) (log a))) (- (- 0 (log (- (acos a)))) (log (/ 1 a))) (- (- (log 1) (log (- (acos a)))) (- (log a))) (- (- (log 1) (log (- (acos a)))) (- 0 (log a))) (- (- (log 1) (log (- (acos a)))) (- (log 1) (log a))) (- (- (log 1) (log (- (acos a)))) (log (/ 1 a))) (- (log (/ 1 (- (acos a)))) (- (log a))) (- (log (/ 1 (- (acos a)))) (- 0 (log a))) (- (log (/ 1 (- (acos a)))) (- (log 1) (log a))) (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) (log (/ (/ 1 (- (acos a))) (/ 1 a))) (exp (/ (/ 1 (- (acos a))) (/ 1 a))) (/ (/ (* (* 1 1) 1) (* (* (- (acos a)) (- (acos a))) (- (acos a)))) (/ (* (* 1 1) 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(acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 6.375 * * * [progress]: adding candidates to table 8.592 * [progress]: [Phase 3 of 3] Extracting. 8.592 * * [regime]: Finding splitpoints for: (# # # # # # #) 8.594 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 8.594 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # #) 8.655 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 8.691 * * * [regime]: Found split indices: #