91.312 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.050 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.050 * [simplify]: Simplifying: (/ a (- (acos a))) 0.050 * * [simplify]: iteration 1: (4 enodes) 0.051 * * [simplify]: Extracting #0: cost 1 inf + 0 0.051 * * [simplify]: Extracting #1: cost 3 inf + 0 0.051 * * [simplify]: Extracting #2: cost 3 inf + 1 0.051 * * [simplify]: Extracting #3: cost 0 inf + 394 0.051 * [simplify]: Simplified to: (/ a (- (acos a))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.077 * [backup-simplify]: Simplify (/ a (- (acos a))) into (* -1 (/ a (acos a))) 0.077 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 0.077 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.077 * [taylor]: Taking taylor expansion of -1 in a 0.077 * [backup-simplify]: Simplify -1 into -1 0.077 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.077 * [taylor]: Taking taylor expansion of a in a 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [taylor]: Taking taylor expansion of (acos a) in a 0.078 * [backup-simplify]: Simplify (acos a) into (acos a) 0.078 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 0.078 * [taylor]: Taking taylor expansion of -1 in a 0.078 * [backup-simplify]: Simplify -1 into -1 0.078 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 0.078 * [taylor]: Taking taylor expansion of a in a 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (acos a) in a 0.078 * [backup-simplify]: Simplify (acos a) into (acos a) 0.078 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 0.078 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 0.078 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 0.078 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 0.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [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 0.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 0.084 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [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 0.086 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 0.086 * [backup-simplify]: Simplify (/ (/ 1 a) (- (acos (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 0.086 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 0.086 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.086 * [taylor]: Taking taylor expansion of -1 in a 0.086 * [backup-simplify]: Simplify -1 into -1 0.086 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.086 * [taylor]: Taking taylor expansion of a in a 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.086 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.086 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.087 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.087 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 0.087 * [taylor]: Taking taylor expansion of -1 in a 0.087 * [backup-simplify]: Simplify -1 into -1 0.087 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 0.087 * [taylor]: Taking taylor expansion of a in a 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 0.087 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 0.087 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 0.088 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.088 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 0.089 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 0.091 * [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 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 0.092 * [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 0.092 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 0.094 * [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 0.094 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 0.097 * [backup-simplify]: Simplify (- (/ 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 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 0.097 * [backup-simplify]: Simplify (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 0.097 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.097 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.097 * [taylor]: Taking taylor expansion of a in a 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.097 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.097 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.097 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.098 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 0.098 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 0.098 * [taylor]: Taking taylor expansion of a in a 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 0.098 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 0.098 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 0.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 0.098 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.098 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 0.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 0.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 0.103 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 0.105 * [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 0.105 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 0.108 * [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 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 0.109 * * * [progress]: simplifying candidates 0.109 * * * * [progress]: [ 1 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 2 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 3 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 4 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 5 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 6 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 7 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 8 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 9 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 10 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 11 / 61 ] simplifiying candidate # 0.109 * * * * [progress]: [ 12 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 13 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 14 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 15 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 16 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 17 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 18 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 19 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 20 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 21 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 22 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 23 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 24 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 25 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 26 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 27 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 28 / 61 ] simplifiying candidate # 0.110 * * * * [progress]: [ 29 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 30 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 31 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 32 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 33 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 34 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 35 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 36 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 37 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 38 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 39 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 40 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 41 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 42 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 43 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 44 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 45 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 46 / 61 ] simplifiying candidate # 0.111 * * * * [progress]: [ 47 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 48 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 49 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 50 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 51 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 52 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 53 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 54 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 55 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 56 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 57 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 58 / 61 ] simplifiying candidate #real (real->posit16 (/ a (- (acos a))))))> 0.112 * * * * [progress]: [ 59 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 60 / 61 ] simplifiying candidate # 0.112 * * * * [progress]: [ 61 / 61 ] simplifiying candidate # 0.114 * [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))) 0.115 * * [simplify]: iteration 1: (97 enodes) 0.143 * * [simplify]: iteration 2: (169 enodes) 0.181 * * [simplify]: iteration 3: (346 enodes) 0.317 * * [simplify]: iteration 4: (726 enodes) 0.718 * * [simplify]: iteration 5: (1664 enodes) 2.133 * * [simplify]: Extracting #0: cost 65 inf + 0 2.135 * * [simplify]: Extracting #1: cost 233 inf + 85 2.139 * * [simplify]: Extracting #2: cost 365 inf + 3050 2.150 * * [simplify]: Extracting #3: cost 258 inf + 32450 2.177 * * [simplify]: Extracting #4: cost 94 inf + 85697 2.220 * * [simplify]: Extracting #5: cost 0 inf + 125738 2.252 * [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))) -1) (/ a (acos a))) (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) (cbrt (/ a (- (acos a)))) (* (/ (* (/ a (acos a)) (/ a (acos a))) -1) (/ 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)))) -1) (/ (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) (/ (/ a (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (- (sqrt (acos a)))) (- a) (/ (/ a (cbrt (acos a))) (cbrt (acos a))) (/ a (sqrt (acos a))) a (/ (- (acos a)) (cbrt a)) (/ (- (acos a)) (sqrt a)) (/ (- (acos a)) a) (real->posit16 (/ a (- (acos a)))) (- (/ a (acos a))) (- (/ a (acos a))) (- (/ a (acos a))) 2.254 * * * [progress]: adding candidates to table 2.659 * * [progress]: iteration 2 / 4 2.660 * * * [progress]: picking best candidate 2.693 * * * * [pick]: Picked # 2.693 * * * [progress]: localizing error 2.715 * * * [progress]: generating rewritten candidates 2.715 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.730 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.750 * * * [progress]: generating series expansions 2.750 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.750 * [backup-simplify]: Simplify (/ 1 (/ (- (acos a)) a)) into (* -1 (/ a (acos a))) 2.750 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 2.750 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.750 * [taylor]: Taking taylor expansion of -1 in a 2.750 * [backup-simplify]: Simplify -1 into -1 2.750 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.750 * [taylor]: Taking taylor expansion of a in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of (acos a) in a 2.750 * [backup-simplify]: Simplify (acos a) into (acos a) 2.751 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.751 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 2.751 * [taylor]: Taking taylor expansion of -1 in a 2.751 * [backup-simplify]: Simplify -1 into -1 2.751 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 2.751 * [taylor]: Taking taylor expansion of a in a 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [taylor]: Taking taylor expansion of (acos a) in a 2.751 * [backup-simplify]: Simplify (acos a) into (acos a) 2.751 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 2.751 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 2.751 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 2.751 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 2.752 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.754 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.756 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.758 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.762 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 2.765 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 2.765 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 2.765 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 2.765 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.765 * [taylor]: Taking taylor expansion of -1 in a 2.765 * [backup-simplify]: Simplify -1 into -1 2.765 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.765 * [taylor]: Taking taylor expansion of a in a 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.765 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.766 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.766 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.766 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 2.766 * [taylor]: Taking taylor expansion of -1 in a 2.766 * [backup-simplify]: Simplify -1 into -1 2.766 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.766 * [taylor]: Taking taylor expansion of a in a 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.767 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.767 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.767 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.768 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 2.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.769 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.771 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.775 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.778 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 2.787 * [backup-simplify]: Simplify (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 2.787 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 2.788 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.788 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.788 * [taylor]: Taking taylor expansion of a in a 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.788 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.788 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.789 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.789 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 2.789 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.789 * [taylor]: Taking taylor expansion of a in a 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.789 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.789 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.790 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.790 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 2.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 2.804 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.804 * [backup-simplify]: Simplify (/ (- (acos a)) a) into (* -1 (/ (acos a) a)) 2.804 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 2.804 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.805 * [taylor]: Taking taylor expansion of -1 in a 2.805 * [backup-simplify]: Simplify -1 into -1 2.805 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.805 * [taylor]: Taking taylor expansion of (acos a) in a 2.805 * [backup-simplify]: Simplify (acos a) into (acos a) 2.805 * [taylor]: Taking taylor expansion of a in a 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.805 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 2.805 * [taylor]: Taking taylor expansion of -1 in a 2.805 * [backup-simplify]: Simplify -1 into -1 2.805 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 2.805 * [taylor]: Taking taylor expansion of (acos a) in a 2.805 * [backup-simplify]: Simplify (acos a) into (acos a) 2.805 * [taylor]: Taking taylor expansion of a in a 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 2.805 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.805 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.823 * [backup-simplify]: Simplify (/ (- (acos (/ 1 a))) (/ 1 a)) into (* -1 (* a (acos (/ 1 a)))) 2.823 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 2.823 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.823 * [taylor]: Taking taylor expansion of -1 in a 2.823 * [backup-simplify]: Simplify -1 into -1 2.823 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.823 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.823 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 2.823 * [taylor]: Taking taylor expansion of -1 in a 2.823 * [backup-simplify]: Simplify -1 into -1 2.823 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 2.823 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 2.823 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 2.823 * [backup-simplify]: Simplify (* -1 0) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 2.824 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 2.824 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 2.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 2.825 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 2.827 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 2.829 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 2.831 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 2.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 2.838 * [backup-simplify]: Simplify (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) into (* a (acos (/ -1 a))) 2.838 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 2.838 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.838 * [taylor]: Taking taylor expansion of a in a 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.839 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.839 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 2.839 * [taylor]: Taking taylor expansion of a in a 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 1 into 1 2.839 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 2.839 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.839 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 2.839 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 2.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 2.842 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 2.847 * * * [progress]: simplifying candidates 2.847 * * * * [progress]: [ 1 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 2 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 3 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 4 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 5 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 6 / 229 ] simplifiying candidate # 2.847 * * * * [progress]: [ 7 / 229 ] simplifiying 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2.855 * * * * [progress]: [ 163 / 229 ] simplifiying candidate #real (real->posit16 (/ 1 (/ (- (acos a)) a)))))> 2.855 * * * * [progress]: [ 164 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 165 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 166 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 167 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 168 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 169 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 170 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 171 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 172 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 173 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 174 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 175 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 176 / 229 ] simplifiying candidate # 2.855 * * * * [progress]: [ 177 / 229 ] 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simplifiying candidate #real (real->posit16 (/ (- (acos a)) a)))))> 2.857 * * * * [progress]: [ 224 / 229 ] simplifiying candidate # 2.857 * * * * [progress]: [ 225 / 229 ] simplifiying candidate # 2.857 * * * * [progress]: [ 226 / 229 ] simplifiying candidate # 2.857 * * * * [progress]: [ 227 / 229 ] simplifiying candidate # 2.857 * * * * [progress]: [ 228 / 229 ] simplifiying candidate # 2.857 * * * * [progress]: [ 229 / 229 ] simplifiying candidate # 2.860 * [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))) (/ (* (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)))) (/ 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(acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (/ (cbrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (cbrt (- (acos a)))) (* (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (sqrt a)) (/ (sqrt a) (cbrt (- (acos a)))) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (/ a (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (/ a (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (/ (cbrt a) (- (cbrt (acos a)))) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt a) (cbrt (acos a))) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (/ (sqrt a) (cbrt (acos a))) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (/ a (cbrt (acos a))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (cbrt a) (sqrt (acos a))) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ 1 (- (sqrt (acos a)))) (/ a (sqrt (acos a))) (- (* (cbrt a) (cbrt a))) (/ (cbrt a) (acos a)) (- (sqrt a)) (/ (sqrt a) (acos a)) -1 (/ a (acos a)) (/ (/ (cbrt a) (cbrt (acos a))) (/ (cbrt (acos a)) (cbrt a))) (/ (cbrt a) (- (cbrt (acos a)))) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ (sqrt a) (- (cbrt (acos a)))) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ a (- (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos a))) (/ (cbrt a) (- (sqrt (acos a)))) (* (/ 1 (sqrt (acos a))) (sqrt a)) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (sqrt (acos a))) (/ a (- (sqrt (acos a)))) (* (cbrt a) (cbrt a)) (/ (cbrt a) (- (acos a))) (sqrt a) (/ (sqrt a) (- (acos a))) 1 (/ a (- (acos a))) 1 (/ a (- (acos a))) (/ 1 (- (acos a))) a (/ a (- (acos a))) (/ (- (acos a)) a) (/ (/ 1 (cbrt (/ (- (acos a)) a))) (cbrt (/ (- (acos a)) a))) (/ 1 (sqrt (/ (- (acos a)) a))) (* (/ (/ (cbrt a) (cbrt (- (acos a)))) (cbrt (- (acos a)))) (cbrt a)) (* (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (- (acos a)))) (cbrt (- (acos a)))) (* (/ (cbrt a) (sqrt (- (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (sqrt (- (acos a)))) (/ 1 (sqrt (- (acos a)))) (* (cbrt a) (cbrt a)) (sqrt a) 1 (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (/ (cbrt a) (- (cbrt (acos a)))) (/ (cbrt (acos a)) (cbrt a))) (* (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (sqrt a)) (/ (/ 1 (cbrt (acos a))) (- (cbrt (acos a)))) (* (/ (cbrt a) (- (sqrt (acos a)))) (cbrt a)) (/ (* 1 (sqrt a)) (- (sqrt (acos a)))) (/ 1 (- (sqrt (acos a)))) (- (* (cbrt a) (cbrt a))) (- (sqrt a)) -1 (/ (/ (cbrt a) (cbrt (acos a))) (/ (cbrt (acos a)) (cbrt a))) (* (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (sqrt a)) (/ 1 (* (cbrt (acos a)) (cbrt (acos a)))) (/ (* (cbrt a) (cbrt a)) (sqrt (acos 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 (/ 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))) (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 (* (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))) (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) (* (/ (cbrt (acos a)) (cbrt a)) (/ (cbrt (acos a)) (cbrt a))) (/ (- (cbrt (acos a))) (cbrt a)) (/ (cbrt (acos a)) (/ (sqrt a) (cbrt (acos a)))) (/ (- (cbrt (acos a))) (sqrt a)) (* (cbrt (acos a)) (cbrt (acos a))) (- (/ (cbrt (acos a)) a)) (/ (/ (sqrt (acos a)) (cbrt a)) (cbrt a)) (- (/ (sqrt (acos a)) (cbrt a))) (/ (sqrt (acos a)) (sqrt a)) (- (/ (sqrt (acos a)) (sqrt a))) (sqrt (acos a)) (/ (- (sqrt (acos a))) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (- (acos a)) (cbrt a)) (/ 1 (sqrt a)) (/ (- (acos a)) (sqrt a)) 1 (/ (- (acos a)) a) (/ 1 a) (/ a (- (acos a))) (/ (acos a) 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) 5.926 * * * [progress]: adding candidates to table 7.553 * * [progress]: iteration 3 / 4 7.553 * * * [progress]: picking best candidate 7.581 * * * * [pick]: Picked # 7.582 * * * [progress]: localizing error 7.608 * * * [progress]: generating rewritten candidates 7.608 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.620 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.649 * * * [progress]: generating series expansions 7.649 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.650 * [backup-simplify]: Simplify (* (- (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.650 * [approximate]: Taking taylor expansion of (* -1 (/ (acos a) a)) in (a) around 0 7.650 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.650 * [taylor]: Taking taylor expansion of -1 in a 7.650 * [backup-simplify]: Simplify -1 into -1 7.650 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.650 * [taylor]: Taking taylor expansion of (acos a) in a 7.650 * [backup-simplify]: Simplify (acos a) into (acos a) 7.650 * [taylor]: Taking taylor expansion of a in a 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.650 * [taylor]: Taking taylor expansion of (* -1 (/ (acos a) a)) in a 7.650 * [taylor]: Taking taylor expansion of -1 in a 7.650 * [backup-simplify]: Simplify -1 into -1 7.650 * [taylor]: Taking taylor expansion of (/ (acos a) a) in a 7.650 * [taylor]: Taking taylor expansion of (acos a) in a 7.650 * [backup-simplify]: Simplify (acos a) into (acos a) 7.650 * [taylor]: Taking taylor expansion of a in a 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.650 * [backup-simplify]: Simplify (/ (acos a) 1) into (acos a) 7.651 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.651 * [backup-simplify]: Simplify (* -1 (acos a)) into (* -1 (acos a)) 7.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)))) into 0 7.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos a))) into 0 7.653 * [backup-simplify]: Simplify 0 into 0 7.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.655 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos a)))) into 0 7.655 * [backup-simplify]: Simplify 0 into 0 7.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))) into 0 7.659 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))) into 0 7.663 * [backup-simplify]: Simplify 0 into 0 7.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos a) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a))))))) into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.673 * [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 7.676 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos a)))))))) into 0 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.677 * [backup-simplify]: Simplify (* (- (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (* a (acos (/ 1 a)))) 7.677 * [approximate]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in (a) around 0 7.677 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 7.677 * [taylor]: Taking taylor expansion of -1 in a 7.677 * [backup-simplify]: Simplify -1 into -1 7.677 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.677 * [taylor]: Taking taylor expansion of a in a 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.677 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.677 * [taylor]: Taking taylor expansion of (* -1 (* a (acos (/ 1 a)))) in a 7.677 * [taylor]: Taking taylor expansion of -1 in a 7.677 * [backup-simplify]: Simplify -1 into -1 7.677 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.677 * [taylor]: Taking taylor expansion of a in a 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.677 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.677 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.678 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.678 * [backup-simplify]: Simplify (* -1 0) into 0 7.678 * [backup-simplify]: Simplify 0 into 0 7.679 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.680 * [backup-simplify]: Simplify (+ (* -1 (acos (/ 1 a))) (* 0 0)) into (- (acos (/ 1 a))) 7.680 * [backup-simplify]: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) 7.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 7.682 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))) into 0 7.682 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 7.685 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))) into 0 7.685 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 7.689 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))) into 0 7.689 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 7.693 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))) into 0 7.693 * [backup-simplify]: Simplify 0 into 0 7.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 7.698 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0))))))) into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 7.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (acos (/ 1 a))) (* 0 0)))))))) into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify (* (- (acos (/ 1 (/ 1 a)))) (/ 1 a)) into (* -1 (/ (acos a) a)) 7.705 * [backup-simplify]: Simplify (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a)))) into (* a (acos (/ -1 a))) 7.705 * [approximate]: Taking taylor expansion of (* a (acos (/ -1 a))) in (a) around 0 7.705 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.705 * [taylor]: Taking taylor expansion of a in a 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.705 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.705 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.705 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.705 * [taylor]: Taking taylor expansion of a in a 7.705 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify 1 into 1 7.705 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.705 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.705 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.705 * [backup-simplify]: Simplify 0 into 0 7.706 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.706 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.709 * [backup-simplify]: Simplify 0 into 0 7.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.713 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.718 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (* (acos (/ -1 (/ 1 (- a)))) (/ 1 (- a))) into (* -1 (/ (acos a) a)) 7.718 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.719 * [backup-simplify]: Simplify (/ 1 (* (- (acos a)) (/ 1 a))) into (* -1 (/ a (acos a))) 7.719 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 7.719 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.719 * [taylor]: Taking taylor expansion of -1 in a 7.719 * [backup-simplify]: Simplify -1 into -1 7.719 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.719 * [taylor]: Taking taylor expansion of a in a 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of (acos a) in a 7.719 * [backup-simplify]: Simplify (acos a) into (acos a) 7.719 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.719 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 7.719 * [taylor]: Taking taylor expansion of -1 in a 7.719 * [backup-simplify]: Simplify -1 into -1 7.719 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 7.719 * [taylor]: Taking taylor expansion of a in a 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [taylor]: Taking taylor expansion of (acos a) in a 7.719 * [backup-simplify]: Simplify (acos a) into (acos a) 7.719 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 7.720 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 7.720 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 7.720 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 7.721 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 7.722 * [backup-simplify]: Simplify 0 into 0 7.722 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 7.724 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [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 7.726 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 7.726 * [backup-simplify]: Simplify 0 into 0 7.726 * [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 7.729 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.730 * [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 7.732 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 7.733 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 a))) (/ 1 (/ 1 a)))) into (/ -1 (* a (acos (/ 1 a)))) 7.733 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 7.733 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 7.733 * [taylor]: Taking taylor expansion of -1 in a 7.733 * [backup-simplify]: Simplify -1 into -1 7.733 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.733 * [taylor]: Taking taylor expansion of a in a 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 1 into 1 7.733 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.733 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.734 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.734 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.734 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 7.734 * [taylor]: Taking taylor expansion of -1 in a 7.735 * [backup-simplify]: Simplify -1 into -1 7.735 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 7.735 * [taylor]: Taking taylor expansion of a in a 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 7.735 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 7.735 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 7.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 7.736 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.736 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 7.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 7.737 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 7.737 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 7.739 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 7.742 * [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 7.742 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 7.745 * [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 7.745 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 7.749 * [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 7.749 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 7.753 * [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 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 7.753 * [backup-simplify]: Simplify (/ 1 (* (- (acos (/ 1 (- a)))) (/ 1 (/ 1 (- a))))) into (/ 1 (* a (acos (/ -1 a)))) 7.753 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 7.753 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.753 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.753 * [taylor]: Taking taylor expansion of a in a 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 1 into 1 7.753 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.754 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.754 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.754 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.755 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.755 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 7.755 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 7.755 * [taylor]: Taking taylor expansion of a in a 7.755 * [backup-simplify]: Simplify 0 into 0 7.755 * [backup-simplify]: Simplify 1 into 1 7.755 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 7.755 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 7.755 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 7.755 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 7.756 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.756 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 7.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 7.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 7.757 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 7.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.758 * [backup-simplify]: Simplify 0 into 0 7.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 7.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 7.759 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 7.761 * [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 7.761 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 7.763 * [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 7.763 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 7.765 * [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 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 7.765 * * * [progress]: simplifying candidates 7.765 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 7.765 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 18 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 27 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 7.766 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 46 / 96 ] simplifiying candidate #real (real->posit16 (* (- (acos a)) (/ 1 a))))))> 7.767 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 64 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 7.767 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 83 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 87 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 90 / 96 ] simplifiying candidate #real (real->posit16 (/ 1 (* (- (acos a)) (/ 1 a))))))> 7.768 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 7.768 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 7.769 * [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))) 7.770 * * [simplify]: iteration 1: (131 enodes) 7.817 * * [simplify]: iteration 2: (354 enodes) 7.920 * * [simplify]: iteration 3: (944 enodes) 8.951 * * [simplify]: Extracting #0: cost 37 inf + 0 8.951 * * [simplify]: Extracting #1: cost 296 inf + 2 8.954 * * [simplify]: Extracting #2: cost 330 inf + 10754 8.968 * * [simplify]: Extracting #3: cost 107 inf + 59301 8.992 * * [simplify]: Extracting #4: cost 13 inf + 80732 9.020 * * [simplify]: Extracting #5: cost 0 inf + 84521 9.052 * [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) a) (/ (acos a) a)) (- (/ (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))) (* (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 (/ (- a) (acos a))) (log1p (/ (- a) (acos a))) -1 -1 (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (log (/ (- a) (acos a))) (exp (/ (- a) (acos a))) (* (* (/ (- a) (acos a)) (/ (- a) (acos a))) (/ (- a) (acos a))) (* (* (/ (- a) (acos a)) (/ (- a) (acos a))) (/ (- a) (acos a))) (* (* (/ (- a) (acos a)) (/ (- a) (acos a))) (/ (- a) (acos a))) (* (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))) -1 (/ (acos a) a) (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ 1 (- (acos a))) a (/ (- a) (acos a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ 1 (- (acos a))) (/ 1 (- (acos a))) (real->posit16 (/ (- a) (acos a))) (- (/ (acos a) a)) (- (/ (acos a) a)) (- (/ (acos a) a)) (/ (- a) (acos a)) (/ (- a) (acos a)) (/ (- a) (acos a)) 9.057 * * * [progress]: adding candidates to table 9.725 * * [progress]: iteration 4 / 4 9.726 * * * [progress]: picking best candidate 9.773 * * * * [pick]: Picked # 9.773 * * * [progress]: localizing error 9.803 * * * [progress]: generating rewritten candidates 9.803 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 9.816 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 9.838 * * * [progress]: generating series expansions 9.838 * * * * [progress]: [ 1 / 2 ] generating series at (2) 9.838 * [backup-simplify]: Simplify (/ (/ 1 (- (acos a))) (/ 1 a)) into (* -1 (/ a (acos a))) 9.838 * [approximate]: Taking taylor expansion of (* -1 (/ a (acos a))) in (a) around 0 9.838 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 9.838 * [taylor]: Taking taylor expansion of -1 in a 9.838 * [backup-simplify]: Simplify -1 into -1 9.838 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 9.838 * [taylor]: Taking taylor expansion of a in a 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of (acos a) in a 9.838 * [backup-simplify]: Simplify (acos a) into (acos a) 9.838 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 9.838 * [taylor]: Taking taylor expansion of (* -1 (/ a (acos a))) in a 9.838 * [taylor]: Taking taylor expansion of -1 in a 9.838 * [backup-simplify]: Simplify -1 into -1 9.838 * [taylor]: Taking taylor expansion of (/ a (acos a)) in a 9.838 * [taylor]: Taking taylor expansion of a in a 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of (acos a) in a 9.838 * [backup-simplify]: Simplify (acos a) into (acos a) 9.838 * [backup-simplify]: Simplify (/ 1 (acos a)) into (/ 1 (acos a)) 9.838 * [backup-simplify]: Simplify (* -1 (/ 1 (acos a))) into (/ -1 (acos a)) 9.838 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 9.839 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))))) into 0 9.839 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 (acos a)))) into 0 9.839 * [backup-simplify]: Simplify 0 into 0 9.839 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))) into 0 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ 1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))) into 0 9.841 * [backup-simplify]: Simplify 0 into 0 9.841 * [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 9.842 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))) into 0 9.842 * [backup-simplify]: Simplify 0 into 0 9.843 * [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 9.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a)))))))) into 0 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [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 9.846 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (acos a))))))))) into 0 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) 9.846 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) into (/ -1 (* a (acos (/ 1 a)))) 9.846 * [approximate]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in (a) around 0 9.846 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 9.846 * [taylor]: Taking taylor expansion of -1 in a 9.846 * [backup-simplify]: Simplify -1 into -1 9.846 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.846 * [taylor]: Taking taylor expansion of a in a 9.846 * [backup-simplify]: Simplify 0 into 0 9.846 * [backup-simplify]: Simplify 1 into 1 9.846 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.846 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.846 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.847 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.847 * [taylor]: Taking taylor expansion of (/ -1 (* a (acos (/ 1 a)))) in a 9.847 * [taylor]: Taking taylor expansion of -1 in a 9.847 * [backup-simplify]: Simplify -1 into -1 9.847 * [taylor]: Taking taylor expansion of (* a (acos (/ 1 a))) in a 9.847 * [taylor]: Taking taylor expansion of a in a 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify 1 into 1 9.847 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.847 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.847 * [backup-simplify]: Simplify (* 0 (acos (/ 1 a))) into 0 9.847 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ 1 a)))) into (acos (/ 1 a)) 9.847 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.847 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ 1 a))))) into 0 9.848 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.848 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))) into 0 9.849 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.849 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))) into 0 9.851 * [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 9.851 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))) into 0 9.852 * [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 9.852 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a))))))))) into 0 9.854 * [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 9.854 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ 1 a)))))))))) into 0 9.856 * [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 9.856 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify (* (/ -1 (acos (/ 1 (/ 1 a)))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos a))) 9.857 * [backup-simplify]: Simplify (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (/ 1 (* a (acos (/ -1 a)))) 9.857 * [approximate]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in (a) around 0 9.857 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.857 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.857 * [taylor]: Taking taylor expansion of a in a 9.857 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify 1 into 1 9.857 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.857 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.857 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.857 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.857 * [taylor]: Taking taylor expansion of (/ 1 (* a (acos (/ -1 a)))) in a 9.858 * [taylor]: Taking taylor expansion of (* a (acos (/ -1 a))) in a 9.858 * [taylor]: Taking taylor expansion of a in a 9.858 * [backup-simplify]: Simplify 0 into 0 9.858 * [backup-simplify]: Simplify 1 into 1 9.858 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.858 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.858 * [backup-simplify]: Simplify (* 0 (acos (/ -1 a))) into 0 9.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (/ -1 a)))) into (acos (/ -1 a)) 9.858 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.858 * [backup-simplify]: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) 9.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (acos (/ -1 a))))) into 0 9.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.859 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))) into 0 9.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.860 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))) into 0 9.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.861 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))) into 0 9.863 * [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 9.863 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a))))))))) into 0 9.865 * [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 9.865 * [backup-simplify]: Simplify 0 into 0 9.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (acos (/ -1 a)))))))))) into 0 9.874 * [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 9.874 * [backup-simplify]: Simplify 0 into 0 9.874 * [backup-simplify]: Simplify (* (/ 1 (acos (/ -1 (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos a))) 9.874 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 9.874 * [backup-simplify]: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) 9.874 * [approximate]: Taking taylor expansion of (/ -1 (acos a)) in (a) around 0 9.874 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 9.874 * [taylor]: Taking taylor expansion of -1 in a 9.874 * [backup-simplify]: Simplify -1 into -1 9.874 * [taylor]: Taking taylor expansion of (acos a) in a 9.874 * [backup-simplify]: Simplify (acos a) into (acos a) 9.874 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 9.874 * [taylor]: Taking taylor expansion of (/ -1 (acos a)) in a 9.874 * [taylor]: Taking taylor expansion of -1 in a 9.874 * [backup-simplify]: Simplify -1 into -1 9.874 * [taylor]: Taking taylor expansion of (acos a) in a 9.874 * [backup-simplify]: Simplify (acos a) into (acos a) 9.874 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 9.874 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 9.874 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))))) into 0 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify (- (/ 0 (acos a)) (+ (* (/ -1 (acos a)) (/ 0 (acos a))) (* 0 (/ 0 (acos a))) (* 0 (/ 0 (acos a))))) into 0 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [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 9.875 * [backup-simplify]: Simplify 0 into 0 9.875 * [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 9.875 * [backup-simplify]: Simplify 0 into 0 9.876 * [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 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) 9.876 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) 9.876 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in (a) around 0 9.876 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 9.876 * [taylor]: Taking taylor expansion of -1 in a 9.876 * [backup-simplify]: Simplify -1 into -1 9.876 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.876 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.876 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.876 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ 1 a))) in a 9.876 * [taylor]: Taking taylor expansion of -1 in a 9.876 * [backup-simplify]: Simplify -1 into -1 9.876 * [taylor]: Taking taylor expansion of (acos (/ 1 a)) in a 9.876 * [backup-simplify]: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) 9.876 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.876 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) 9.876 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))))) into 0 9.876 * [backup-simplify]: Simplify 0 into 0 9.876 * [backup-simplify]: Simplify (- (/ 0 (acos (/ 1 a))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (acos (/ 1 a)))) (* 0 (/ 0 (acos (/ 1 a)))))) into 0 9.876 * [backup-simplify]: Simplify 0 into 0 9.877 * [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 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [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 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [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 9.877 * [backup-simplify]: Simplify 0 into 0 9.878 * [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 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify (/ -1 (acos (/ 1 (/ 1 a)))) into (/ -1 (acos a)) 9.878 * [backup-simplify]: Simplify (/ 1 (- (acos (/ 1 (- a))))) into (/ -1 (acos (/ -1 a))) 9.878 * [approximate]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in (a) around 0 9.878 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 9.878 * [taylor]: Taking taylor expansion of -1 in a 9.878 * [backup-simplify]: Simplify -1 into -1 9.878 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.878 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.878 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 9.878 * [taylor]: Taking taylor expansion of (/ -1 (acos (/ -1 a))) in a 9.878 * [taylor]: Taking taylor expansion of -1 in a 9.878 * [backup-simplify]: Simplify -1 into -1 9.878 * [taylor]: Taking taylor expansion of (acos (/ -1 a)) in a 9.878 * [backup-simplify]: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) 9.878 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 9.878 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 a))) into (/ -1 (acos (/ -1 a))) 9.878 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))))) into 0 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify (- (/ 0 (acos (/ -1 a))) (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (acos (/ -1 a)))) (* 0 (/ 0 (acos (/ -1 a)))))) into 0 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [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 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [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 9.879 * [backup-simplify]: Simplify 0 into 0 9.879 * [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 9.879 * [backup-simplify]: Simplify 0 into 0 9.880 * [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 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify (/ -1 (acos (/ -1 (/ 1 (- a))))) into (/ -1 (acos a)) 9.880 * * * [progress]: simplifying candidates 9.880 * * * * [progress]: [ 1 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 2 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 3 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 4 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 5 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 6 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 7 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 8 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 9 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 10 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 11 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 12 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 13 / 592 ] simplifiying candidate # 9.880 * * * * [progress]: [ 14 / 592 ] 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9.915 * * * * [progress]: [ 583 / 592 ] simplifiying candidate # 9.915 * * * * [progress]: [ 584 / 592 ] simplifiying candidate # 9.915 * * * * [progress]: [ 585 / 592 ] simplifiying candidate # 9.915 * * * * [progress]: [ 586 / 592 ] simplifiying candidate #real (real->posit16 (/ 1 (- (acos a))))) (/ 1 a)))> 9.916 * * * * [progress]: [ 587 / 592 ] simplifiying candidate # 9.916 * * * * [progress]: [ 588 / 592 ] simplifiying candidate # 9.916 * * * * [progress]: [ 589 / 592 ] simplifiying candidate # 9.916 * * * * [progress]: [ 590 / 592 ] simplifiying candidate # 9.916 * * * * [progress]: [ 591 / 592 ] simplifiying candidate # 9.916 * * * * [progress]: [ 592 / 592 ] simplifiying candidate # 9.932 * [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 (- 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a))) (- (/ a (acos a))) (- (/ a (acos a))) (/ -1 (acos a)) (/ -1 (acos a)) (/ -1 (acos a)) 12.509 * * * [progress]: adding candidates to table 16.765 * [progress]: [Phase 3 of 3] Extracting. 16.765 * * [regime]: Finding splitpoints for: (# # # # # # # #) 16.766 * * * [regime-changes]: Trying 2 branch expressions: ((/ a (- (acos a))) a) 16.766 * * * * [regimes]: Trying to branch on (/ a (- (acos a))) from (# # # # # # # #) 16.814 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 16.859 * * * [regime]: Found split indices: #