86.815 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.307 * * * [progress]: [2/2] Setting up program. 0.310 * [progress]: [Phase 2 of 3] Improving. 0.310 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.310 * * [simplify]: Extracting # 0 : cost 0 0.310 * * [simplify]: Extracting # 1 : cost 0 0.310 * * [simplify]: Extracting # 2 : cost 0 0.310 * * [simplify]: Extracting # 3 : cost 0 0.311 * * [simplify]: Extracting # 4 : cost 0 0.311 * * [simplify]: Extracting # 5 : cost 0 0.311 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.311 * * [simplify]: Extracting # 0 : cost 0 0.312 * * [simplify]: Extracting # 1 : cost 0 0.312 * * [simplify]: Extracting # 2 : cost 0 0.312 * * [simplify]: Extracting # 3 : cost 0 0.312 * * [simplify]: Extracting # 4 : cost 0 0.312 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.313 * * [simplify]: Extracting # 0 : cost 0 0.313 * * [simplify]: Extracting # 1 : cost 0 0.313 * * [simplify]: Extracting # 2 : cost 0 0.313 * * [simplify]: Extracting # 3 : cost 0 0.313 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.317 * * [simplify]: Extracting # 0 : cost 0 0.317 * * [simplify]: Extracting # 1 : cost 0 0.317 * * [simplify]: Extracting # 2 : cost 0 0.317 * * [simplify]: Extracting # 3 : cost 0 0.317 * * [simplify]: Extracting # 4 : cost 0 0.317 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.326 * * [simplify]: Extracting # 0 : cost 0 0.326 * * [simplify]: Extracting # 1 : cost 0 0.326 * * [simplify]: Extracting # 2 : cost 0 0.326 * * [simplify]: Extracting # 3 : cost 0 0.326 * * [simplify]: Extracting # 4 : cost 0 0.326 * * [simplify]: Extracting # 5 : cost 0 0.327 * * [simplify]: iteration 4 : 108 enodes (cost 9 ) 0.449 * * [simplify]: Extracting # 0 : cost 0 0.450 * * [simplify]: Extracting # 1 : cost 0 0.451 * * [simplify]: Extracting # 2 : cost 0 0.452 * * [simplify]: Extracting # 3 : cost 0 0.453 * * [simplify]: Extracting # 4 : cost 0 0.453 * * [simplify]: iteration 5 : 452 enodes (cost 9 ) 2.106 * * [simplify]: Extracting # 0 : cost 0 2.113 * * [simplify]: Extracting # 1 : cost 0 2.117 * * [simplify]: Extracting # 2 : cost 0 2.121 * * [simplify]: Extracting # 3 : cost 0 2.125 * * [simplify]: Extracting # 4 : cost 0 2.129 * * [simplify]: iteration 6 : 4178 enodes (cost 9 ) 3.957 * * [simplify]: Extracting # 0 : cost 0 3.971 * * [simplify]: Extracting # 1 : cost 0 3.980 * * [simplify]: Extracting # 2 : cost 0 3.997 * * [simplify]: Extracting # 3 : cost 0 4.006 * * [simplify]: Extracting # 4 : cost 0 4.016 * * [simplify]: iteration done: 5002 enodes (cost 9 ) 4.016 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 4.017 * * [progress]: iteration 1 / 4 4.017 * * * [progress]: picking best candidate 4.022 * * * * [pick]: Picked # 4.022 * * * [progress]: localizing error 4.042 * * * [progress]: generating rewritten candidates 4.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 4.051 * * * [progress]: generating series expansions 4.051 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.051 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.051 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 4.051 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.051 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.051 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.051 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.051 * [taylor]: Taking taylor expansion of a in a 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.051 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.052 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.052 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.053 * [backup-simplify]: Simplify (* 1 1) into 1 4.053 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.053 * [backup-simplify]: Simplify (exp 0) into 1 4.053 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.053 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.053 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.053 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.053 * [taylor]: Taking taylor expansion of a in a 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.053 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.053 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.053 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.054 * [backup-simplify]: Simplify (* 1 1) into 1 4.054 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.054 * [backup-simplify]: Simplify (exp 0) into 1 4.054 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.056 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (log (atan (fmod a (asin a)))) 1) 1)))) into (log (atan (fmod a (asin a)))) 4.057 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 4.063 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.063 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 4.072 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (log (atan (fmod a (asin a)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 4.072 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 4.073 * [backup-simplify]: Simplify (+ (* (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (log (atan (fmod a (asin a)))) (pow a 2)) 1)) into (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 4.074 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (* (/ 1 a) (/ 1 a))) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) 4.074 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.074 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.074 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.074 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.074 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.074 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.074 * [taylor]: Taking taylor expansion of a in a 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (* 1 1) into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.075 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.075 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.076 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.076 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.076 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.076 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.076 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.076 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.076 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.077 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.077 * [taylor]: Taking taylor expansion of a in a 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 1 into 1 4.077 * [backup-simplify]: Simplify (* 1 1) into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.078 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.078 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.078 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.078 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.079 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.079 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.079 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.081 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (* (/ 1 (- a)) (/ 1 (- a)))) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) 4.081 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.081 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.081 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.081 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.081 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.081 * [taylor]: Taking taylor expansion of a in a 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.082 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.082 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.082 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.083 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.083 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.083 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.083 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.083 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.083 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.083 * [taylor]: Taking taylor expansion of a in a 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.084 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.085 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.085 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.085 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.085 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.086 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.087 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 4.087 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.087 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 4.087 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.087 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.087 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.087 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.087 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.088 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.088 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 4.088 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.088 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.088 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.088 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.088 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 4.089 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.089 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 4.089 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.089 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.089 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.089 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.089 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 4.089 * * * [progress]: simplifying candidates 4.090 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* 1 (* a a)) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow 1 (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (log (pow (atan (fmod a (asin a))) (* a a))) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (* (* (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 4.091 * * [simplify]: Extracting # 0 : cost 0 4.091 * * [simplify]: Extracting # 1 : cost 0 4.091 * * [simplify]: Extracting # 2 : cost 0 4.091 * * [simplify]: Extracting # 3 : cost 0 4.091 * * [simplify]: Extracting # 4 : cost 0 4.091 * * [simplify]: Extracting # 5 : cost 0 4.091 * * [simplify]: Extracting # 6 : cost 0 4.091 * * [simplify]: Extracting # 7 : cost 0 4.091 * * [simplify]: Extracting # 8 : cost 0 4.091 * * [simplify]: Extracting # 9 : cost 0 4.091 * * [simplify]: iteration 0 : 50 enodes (cost 352 ) 4.102 * * [simplify]: Extracting # 0 : cost 0 4.102 * * [simplify]: Extracting # 1 : cost 0 4.102 * * [simplify]: Extracting # 2 : cost 0 4.102 * * [simplify]: Extracting # 3 : cost 0 4.102 * * [simplify]: Extracting # 4 : cost 0 4.102 * * [simplify]: iteration 1 : 119 enodes (cost 337 ) 4.181 * * [simplify]: Extracting # 0 : cost 0 4.182 * * [simplify]: Extracting # 1 : cost 0 4.183 * * [simplify]: Extracting # 2 : cost 0 4.185 * * [simplify]: Extracting # 3 : cost 0 4.186 * * [simplify]: Extracting # 4 : cost 0 4.187 * * [simplify]: iteration 2 : 554 enodes (cost 319 ) 4.540 * * [simplify]: Extracting # 0 : cost 0 4.549 * * [simplify]: Extracting # 1 : cost 0 4.563 * * [simplify]: Extracting # 2 : cost 0 4.570 * * [simplify]: Extracting # 3 : cost 0 4.577 * * [simplify]: Extracting # 4 : cost 0 4.583 * * [simplify]: iteration done: 5000 enodes (cost 318 ) 4.584 * [simplify]: Simplified to: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (* a a) (log (atan (fmod a (asin a))))) (* (* a a) (log (atan (fmod a (asin a))))) (* a a) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) 1 (pow (atan (fmod a (asin a))) (* a a)) (* (* a a) (log (atan (fmod a (asin a))))) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (pow (pow (atan (fmod a (asin a))) (* a a)) 3) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (fma (pow a 4) (* (pow (log (atan (fmod a (asin a)))) 2) 1/2) (fma a (* a (log (atan (fmod a (asin a))))) 1)) (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 4.584 * * * [progress]: adding candidates to table 4.735 * * [progress]: iteration 2 / 4 4.735 * * * [progress]: picking best candidate 4.740 * * * * [pick]: Picked # 4.740 * * * [progress]: localizing error 4.760 * * * [progress]: generating rewritten candidates 4.760 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.767 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.772 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.774 * * * [progress]: generating series expansions 4.774 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.774 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 4.774 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 4.774 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 4.774 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 4.774 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 4.774 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 4.774 * [taylor]: Taking taylor expansion of 1/2 in a 4.774 * [backup-simplify]: Simplify 1/2 into 1/2 4.774 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.775 * [taylor]: Taking taylor expansion of a in a 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.775 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.775 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.775 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.775 * [backup-simplify]: Simplify (* 1 1) into 1 4.776 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.776 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.776 * [backup-simplify]: Simplify (exp 0) into 1 4.776 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 4.776 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 4.776 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 4.776 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 4.776 * [taylor]: Taking taylor expansion of 1/2 in a 4.776 * [backup-simplify]: Simplify 1/2 into 1/2 4.776 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.776 * [taylor]: Taking taylor expansion of a in a 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.776 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.776 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.776 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.776 * [backup-simplify]: Simplify (* 1 1) into 1 4.777 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.777 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.777 * [backup-simplify]: Simplify (exp 0) into 1 4.777 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.779 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.779 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 4.782 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 4.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 4.787 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 4.788 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 4.788 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 4.788 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 4.788 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 4.788 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 4.788 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.788 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.788 * [taylor]: Taking taylor expansion of 1/2 in a 4.788 * [backup-simplify]: Simplify 1/2 into 1/2 4.789 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.789 * [taylor]: Taking taylor expansion of a in a 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 1 into 1 4.789 * [backup-simplify]: Simplify (* 1 1) into 1 4.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.789 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.789 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.789 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.790 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.790 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 4.790 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.790 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 4.790 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.790 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.790 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.790 * [taylor]: Taking taylor expansion of 1/2 in a 4.790 * [backup-simplify]: Simplify 1/2 into 1/2 4.790 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.790 * [taylor]: Taking taylor expansion of a in a 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.791 * [backup-simplify]: Simplify (* 1 1) into 1 4.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.791 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.791 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.791 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.791 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.791 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 4.791 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.792 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 4.792 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 4.792 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 4.792 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 4.793 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.793 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.793 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.793 * [taylor]: Taking taylor expansion of 1/2 in a 4.793 * [backup-simplify]: Simplify 1/2 into 1/2 4.793 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.793 * [taylor]: Taking taylor expansion of a in a 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [backup-simplify]: Simplify 1 into 1 4.793 * [backup-simplify]: Simplify (* 1 1) into 1 4.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.793 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.793 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.794 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.794 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.794 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 4.794 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.794 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 4.794 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.794 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.794 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.794 * [taylor]: Taking taylor expansion of 1/2 in a 4.794 * [backup-simplify]: Simplify 1/2 into 1/2 4.794 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.794 * [taylor]: Taking taylor expansion of a in a 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 1 into 1 4.795 * [backup-simplify]: Simplify (* 1 1) into 1 4.795 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.795 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.795 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.795 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.795 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.795 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 4.796 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.796 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 4.796 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.797 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 4.797 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 4.797 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 4.797 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 4.797 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 4.797 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 4.797 * [taylor]: Taking taylor expansion of 1/2 in a 4.797 * [backup-simplify]: Simplify 1/2 into 1/2 4.797 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.797 * [taylor]: Taking taylor expansion of a in a 4.797 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify 1 into 1 4.797 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.797 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.797 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.797 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.797 * [backup-simplify]: Simplify (* 1 1) into 1 4.798 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.798 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.798 * [backup-simplify]: Simplify (exp 0) into 1 4.798 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 4.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 4.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 4.798 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 4.798 * [taylor]: Taking taylor expansion of 1/2 in a 4.798 * [backup-simplify]: Simplify 1/2 into 1/2 4.798 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.798 * [taylor]: Taking taylor expansion of a in a 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.798 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.798 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.798 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.799 * [backup-simplify]: Simplify (* 1 1) into 1 4.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.799 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.799 * [backup-simplify]: Simplify (exp 0) into 1 4.799 * [backup-simplify]: Simplify 1 into 1 4.800 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.800 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.801 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 4.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 4.804 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.804 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 4.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 4.812 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 4.812 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 4.813 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 4.814 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 4.814 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 4.814 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 4.814 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.814 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.814 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.814 * [taylor]: Taking taylor expansion of 1/2 in a 4.814 * [backup-simplify]: Simplify 1/2 into 1/2 4.814 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.814 * [taylor]: Taking taylor expansion of a in a 4.814 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (* 1 1) into 1 4.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.815 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.815 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.816 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.816 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.816 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 4.817 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.817 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 4.817 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.817 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.817 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.817 * [taylor]: Taking taylor expansion of 1/2 in a 4.817 * [backup-simplify]: Simplify 1/2 into 1/2 4.817 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.817 * [taylor]: Taking taylor expansion of a in a 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (* 1 1) into 1 4.818 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.818 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.818 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.818 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.819 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.819 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 4.819 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.820 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 4.821 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 4.821 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 4.821 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 4.821 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.821 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.821 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.821 * [taylor]: Taking taylor expansion of 1/2 in a 4.821 * [backup-simplify]: Simplify 1/2 into 1/2 4.821 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.822 * [taylor]: Taking taylor expansion of a in a 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [backup-simplify]: Simplify (* 1 1) into 1 4.823 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.823 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.823 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.823 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.823 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.824 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 4.824 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.824 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 4.824 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.824 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.824 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 4.824 * [taylor]: Taking taylor expansion of 1/2 in a 4.824 * [backup-simplify]: Simplify 1/2 into 1/2 4.824 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.824 * [taylor]: Taking taylor expansion of a in a 4.824 * [backup-simplify]: Simplify 0 into 0 4.824 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (* 1 1) into 1 4.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.826 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.826 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.826 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.826 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.826 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 4.827 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.827 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 4.828 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 4.828 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.828 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 4.828 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.829 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.829 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.829 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.829 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.829 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.829 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 4.829 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.830 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.830 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.830 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.830 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify 0 into 0 4.830 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 4.831 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.831 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 4.831 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.831 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.831 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.831 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.831 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 4.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.832 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.832 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 4.832 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.832 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.832 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.832 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.832 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.833 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.833 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 4.833 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.833 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.833 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.833 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.833 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 4.834 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.834 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 4.834 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.834 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.834 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.834 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.835 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 4.835 * * * [progress]: simplifying candidates 4.837 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 4.840 * * [simplify]: Extracting # 0 : cost 0 4.840 * * [simplify]: Extracting # 1 : cost 0 4.840 * * [simplify]: Extracting # 2 : cost 0 4.840 * * [simplify]: Extracting # 3 : cost 0 4.840 * * [simplify]: Extracting # 4 : cost 0 4.840 * * [simplify]: Extracting # 5 : cost 0 4.841 * * [simplify]: Extracting # 6 : cost 0 4.841 * * [simplify]: Extracting # 7 : cost 0 4.841 * * [simplify]: Extracting # 8 : cost 0 4.841 * * [simplify]: Extracting # 9 : cost 0 4.841 * * [simplify]: iteration 0 : 68 enodes (cost 960 ) 4.882 * * [simplify]: Extracting # 0 : cost 0 4.882 * * [simplify]: Extracting # 1 : cost 0 4.883 * * [simplify]: Extracting # 2 : cost 0 4.883 * * [simplify]: Extracting # 3 : cost 0 4.884 * * [simplify]: Extracting # 4 : cost 0 4.884 * * [simplify]: iteration 1 : 172 enodes (cost 906 ) 5.035 * * [simplify]: Extracting # 0 : cost 0 5.036 * * [simplify]: Extracting # 1 : cost 0 5.038 * * [simplify]: Extracting # 2 : cost 0 5.039 * * [simplify]: Extracting # 3 : cost 0 5.040 * * [simplify]: Extracting # 4 : cost 0 5.042 * * [simplify]: iteration 2 : 669 enodes (cost 866 ) 6.822 * * [simplify]: Extracting # 0 : cost 0 6.836 * * [simplify]: Extracting # 1 : cost 0 6.844 * * [simplify]: Extracting # 2 : cost 0 6.853 * * [simplify]: Extracting # 3 : cost 0 6.858 * * [simplify]: Extracting # 4 : cost 0 6.862 * * [simplify]: iteration 3 : 4954 enodes (cost 824 ) 8.956 * * [simplify]: Extracting # 0 : cost 0 8.961 * * [simplify]: iteration done: 5000 enodes (cost 824 ) 8.962 * [simplify]: Simplified to: (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (/ (* a a) 2) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) 3) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (/ (* a a) 2) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) 3) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (fma (* 1/8 (pow a 4)) (pow (log (atan (fmod a (asin a)))) 2) (fma (* a a) (log (sqrt (atan (fmod a (asin a))))) 1)) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fma (* 1/8 (pow a 4)) (pow (log (atan (fmod a (asin a)))) 2) (fma (* a a) (log (sqrt (atan (fmod a (asin a))))) 1)) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 8.962 * * * [progress]: adding candidates to table 9.419 * [progress]: [Phase 3 of 3] Extracting. 9.419 * * [regime]: Finding splitpoints for: (# #) 9.419 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 9.419 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 9.463 * * * * [regimes]: Trying to branch on a from (# #) 9.488 * * * [regime]: Found split indices: #