82.111 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.290 * * * [progress]: [2/2] Setting up program. 0.294 * [progress]: [Phase 2 of 3] Improving. 0.295 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.295 * * [simplify]: Extracting # 0 : cost 0 0.295 * * [simplify]: Extracting # 1 : cost 0 0.295 * * [simplify]: Extracting # 2 : cost 0 0.295 * * [simplify]: Extracting # 3 : cost 0 0.295 * * [simplify]: Extracting # 4 : cost 0 0.295 * * [simplify]: Extracting # 5 : cost 0 0.295 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.296 * * [simplify]: Extracting # 0 : cost 0 0.296 * * [simplify]: Extracting # 1 : cost 0 0.296 * * [simplify]: Extracting # 2 : cost 0 0.296 * * [simplify]: Extracting # 3 : cost 0 0.296 * * [simplify]: Extracting # 4 : cost 0 0.296 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.298 * * [simplify]: Extracting # 0 : cost 0 0.298 * * [simplify]: Extracting # 1 : cost 0 0.298 * * [simplify]: Extracting # 2 : cost 0 0.298 * * [simplify]: Extracting # 3 : cost 0 0.298 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.301 * * [simplify]: Extracting # 0 : cost 0 0.302 * * [simplify]: Extracting # 1 : cost 0 0.302 * * [simplify]: Extracting # 2 : cost 0 0.302 * * [simplify]: Extracting # 3 : cost 0 0.302 * * [simplify]: Extracting # 4 : cost 0 0.302 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.311 * * [simplify]: Extracting # 0 : cost 0 0.311 * * [simplify]: Extracting # 1 : cost 0 0.311 * * [simplify]: Extracting # 2 : cost 0 0.311 * * [simplify]: Extracting # 3 : cost 0 0.311 * * [simplify]: Extracting # 4 : cost 0 0.311 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.403 * * [simplify]: Extracting # 0 : cost 0 0.404 * * [simplify]: Extracting # 1 : cost 0 0.404 * * [simplify]: Extracting # 2 : cost 0 0.404 * * [simplify]: Extracting # 3 : cost 0 0.405 * * [simplify]: Extracting # 4 : cost 0 0.405 * * [simplify]: Extracting # 5 : cost 0 0.406 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 0.739 * * [simplify]: Extracting # 0 : cost 0 0.741 * * [simplify]: Extracting # 1 : cost 0 0.743 * * [simplify]: Extracting # 2 : cost 0 0.744 * * [simplify]: Extracting # 3 : cost 0 0.745 * * [simplify]: Extracting # 4 : cost 0 0.746 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 3.056 * * [simplify]: Extracting # 0 : cost 0 3.063 * * [simplify]: Extracting # 1 : cost 0 3.065 * * [simplify]: Extracting # 2 : cost 0 3.067 * * [simplify]: Extracting # 3 : cost 0 3.069 * * [simplify]: Extracting # 4 : cost 0 3.070 * * [simplify]: Extracting # 5 : cost 0 3.072 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 4.995 * * [simplify]: Extracting # 0 : cost 0 5.000 * * [simplify]: Extracting # 1 : cost 0 5.004 * * [simplify]: Extracting # 2 : cost 0 5.013 * * [simplify]: Extracting # 3 : cost 0 5.017 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 5.017 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 5.017 * * [progress]: iteration 1 / 4 5.017 * * * [progress]: picking best candidate 5.020 * * * * [pick]: Picked # 5.020 * * * [progress]: localizing error 5.029 * * * [progress]: generating rewritten candidates 5.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.033 * * * [progress]: generating series expansions 5.033 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.033 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 5.034 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 5.034 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.034 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.034 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.034 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.034 * [taylor]: Taking taylor expansion of a in a 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.034 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.035 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.035 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.036 * [backup-simplify]: Simplify (* 1 1) into 1 5.036 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.036 * [backup-simplify]: Simplify (exp 0) into 1 5.036 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.036 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.036 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.036 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.036 * [taylor]: Taking taylor expansion of a in a 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.036 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.036 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.036 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.037 * [backup-simplify]: Simplify (* 1 1) into 1 5.037 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.037 * [backup-simplify]: Simplify (exp 0) into 1 5.037 * [backup-simplify]: Simplify 1 into 1 5.038 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.038 * [backup-simplify]: Simplify 0 into 0 5.038 * [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)))) 5.038 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 5.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 5.041 * [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 5.041 * [backup-simplify]: Simplify 0 into 0 5.043 * [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 5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 5.046 * [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)) 5.046 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 5.047 * [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))))) 5.047 * [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))) 5.047 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.047 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.047 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.047 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.047 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.047 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.047 * [taylor]: Taking taylor expansion of a in a 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (* 1 1) into 1 5.048 * [backup-simplify]: Simplify (/ 1 1) into 1 5.048 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.048 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.048 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.048 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.048 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.049 * [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))) 5.049 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.049 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.049 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.049 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.049 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.049 * [taylor]: Taking taylor expansion of a in a 5.049 * [backup-simplify]: Simplify 0 into 0 5.049 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (* 1 1) into 1 5.050 * [backup-simplify]: Simplify (/ 1 1) into 1 5.050 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.050 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.050 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.050 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.050 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.050 * [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))) 5.051 * [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))) 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [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)) 5.051 * [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))) 5.051 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.051 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.051 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.051 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.051 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.051 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.051 * [taylor]: Taking taylor expansion of a in a 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (* 1 1) into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.052 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.052 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.052 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.052 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.052 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.053 * [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))) 5.053 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.053 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.053 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.053 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.053 * [taylor]: Taking taylor expansion of a in a 5.053 * [backup-simplify]: Simplify 0 into 0 5.053 * [backup-simplify]: Simplify 1 into 1 5.053 * [backup-simplify]: Simplify (* 1 1) into 1 5.053 * [backup-simplify]: Simplify (/ 1 1) into 1 5.053 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.053 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.053 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.054 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.054 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.054 * [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))) 5.054 * [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))) 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [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)) 5.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.055 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.055 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 5.055 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.055 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.055 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.055 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.055 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.056 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.056 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 5.056 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.056 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.056 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.056 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.056 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 5.056 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.056 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 5.056 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.056 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.056 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.056 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.057 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify 0 into 0 5.057 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 5.057 * * * [progress]: simplifying candidates 5.057 * [simplify]: Simplifying: (* (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)) (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)) 5.058 * * [simplify]: Extracting # 0 : cost 0 5.058 * * [simplify]: Extracting # 1 : cost 0 5.058 * * [simplify]: Extracting # 2 : cost 0 5.058 * * [simplify]: Extracting # 3 : cost 0 5.058 * * [simplify]: Extracting # 4 : cost 0 5.058 * * [simplify]: Extracting # 5 : cost 0 5.058 * * [simplify]: Extracting # 6 : cost 0 5.058 * * [simplify]: Extracting # 7 : cost 0 5.058 * * [simplify]: Extracting # 8 : cost 0 5.058 * * [simplify]: iteration 0 : 46 enodes (cost 322 ) 5.076 * * [simplify]: Extracting # 0 : cost 0 5.077 * * [simplify]: Extracting # 1 : cost 0 5.077 * * [simplify]: Extracting # 2 : cost 0 5.077 * * [simplify]: Extracting # 3 : cost 0 5.077 * * [simplify]: Extracting # 4 : cost 0 5.077 * * [simplify]: iteration 1 : 92 enodes (cost 308 ) 5.107 * * [simplify]: Extracting # 0 : cost 0 5.107 * * [simplify]: Extracting # 1 : cost 0 5.108 * * [simplify]: Extracting # 2 : cost 0 5.108 * * [simplify]: Extracting # 3 : cost 0 5.108 * * [simplify]: Extracting # 4 : cost 0 5.108 * * [simplify]: iteration 2 : 206 enodes (cost 290 ) 5.224 * * [simplify]: Extracting # 0 : cost 0 5.225 * * [simplify]: Extracting # 1 : cost 0 5.226 * * [simplify]: Extracting # 2 : cost 0 5.226 * * [simplify]: Extracting # 3 : cost 0 5.227 * * [simplify]: Extracting # 4 : cost 0 5.228 * * [simplify]: iteration 3 : 600 enodes (cost 288 ) 6.052 * * [simplify]: Extracting # 0 : cost 0 6.057 * * [simplify]: Extracting # 1 : cost 0 6.061 * * [simplify]: Extracting # 2 : cost 0 6.065 * * [simplify]: Extracting # 3 : cost 0 6.069 * * [simplify]: Extracting # 4 : cost 0 6.073 * * [simplify]: iteration 4 : 2179 enodes (cost 288 ) 7.398 * * [simplify]: Extracting # 0 : cost 0 7.403 * * [simplify]: Extracting # 1 : cost 0 7.413 * * [simplify]: Extracting # 2 : cost 0 7.418 * * [simplify]: Extracting # 3 : cost 0 7.424 * * [simplify]: Extracting # 4 : cost 0 7.429 * * [simplify]: iteration done: 5001 enodes (cost 288 ) 7.430 * [simplify]: Simplified to: (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a 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)) (* (log (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 (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)) (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))) (+ (* (log (atan (fmod a (asin a)))) (+ (* a a) (* (* 1/2 (pow a 4)) (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)) 7.430 * * * [progress]: adding candidates to table 7.518 * * [progress]: iteration 2 / 4 7.518 * * * [progress]: picking best candidate 7.520 * * * * [pick]: Picked # 7.520 * * * [progress]: localizing error 7.533 * * * [progress]: generating rewritten candidates 7.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.538 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.543 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.543 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.545 * * * [progress]: generating series expansions 7.545 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.545 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 7.545 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 7.545 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.545 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.545 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.545 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.545 * [taylor]: Taking taylor expansion of 1/2 in a 7.545 * [backup-simplify]: Simplify 1/2 into 1/2 7.545 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.545 * [taylor]: Taking taylor expansion of a in a 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 1 into 1 7.545 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.545 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.545 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.545 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.546 * [backup-simplify]: Simplify (* 1 1) into 1 7.546 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.546 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.546 * [backup-simplify]: Simplify (exp 0) into 1 7.546 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.546 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.546 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.546 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.546 * [taylor]: Taking taylor expansion of 1/2 in a 7.546 * [backup-simplify]: Simplify 1/2 into 1/2 7.546 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.546 * [taylor]: Taking taylor expansion of a in a 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 1 into 1 7.546 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.546 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.546 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.546 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.555 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.556 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.556 * [backup-simplify]: Simplify (exp 0) into 1 7.556 * [backup-simplify]: Simplify 1 into 1 7.557 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 7.557 * [backup-simplify]: Simplify 0 into 0 7.559 * [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))))) 7.559 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.560 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 7.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 7.564 * [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 7.564 * [backup-simplify]: Simplify 0 into 0 7.566 * [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 7.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 7.572 * [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)) 7.573 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 7.574 * [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))))) 7.574 * [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))) 7.574 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.574 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.574 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.574 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.574 * [taylor]: Taking taylor expansion of 1/2 in a 7.574 * [backup-simplify]: Simplify 1/2 into 1/2 7.574 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.574 * [taylor]: Taking taylor expansion of a in a 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (* 1 1) into 1 7.575 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.575 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.575 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.575 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.576 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.576 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.576 * [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)))) 7.576 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.576 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.576 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.576 * [taylor]: Taking taylor expansion of 1/2 in a 7.576 * [backup-simplify]: Simplify 1/2 into 1/2 7.576 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.577 * [taylor]: Taking taylor expansion of a in a 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify (* 1 1) into 1 7.577 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.577 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.577 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.578 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.578 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.578 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.578 * [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)))) 7.579 * [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)))) 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 0 into 0 7.580 * [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))))))) 7.580 * [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))) 7.580 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.580 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.580 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.580 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.580 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.580 * [taylor]: Taking taylor expansion of 1/2 in a 7.580 * [backup-simplify]: Simplify 1/2 into 1/2 7.580 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.580 * [taylor]: Taking taylor expansion of a in a 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify 1 into 1 7.581 * [backup-simplify]: Simplify (* 1 1) into 1 7.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.581 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.581 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.581 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.582 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.582 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.582 * [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)))) 7.582 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.582 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.582 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.582 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.582 * [taylor]: Taking taylor expansion of 1/2 in a 7.582 * [backup-simplify]: Simplify 1/2 into 1/2 7.582 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.582 * [taylor]: Taking taylor expansion of a in a 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (* 1 1) into 1 7.583 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.583 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.583 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.583 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.583 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.584 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.584 * [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)))) 7.584 * [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)))) 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [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))))))) 7.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.585 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 7.585 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 7.585 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.585 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.585 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.585 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.585 * [taylor]: Taking taylor expansion of 1/2 in a 7.585 * [backup-simplify]: Simplify 1/2 into 1/2 7.585 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.585 * [taylor]: Taking taylor expansion of a in a 7.585 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify 1 into 1 7.585 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.585 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.585 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.585 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.585 * [backup-simplify]: Simplify (* 1 1) into 1 7.586 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.586 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.586 * [backup-simplify]: Simplify (exp 0) into 1 7.586 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.586 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.586 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.586 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.586 * [taylor]: Taking taylor expansion of 1/2 in a 7.586 * [backup-simplify]: Simplify 1/2 into 1/2 7.586 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.586 * [taylor]: Taking taylor expansion of a in a 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify 1 into 1 7.586 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.586 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.586 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.586 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.586 * [backup-simplify]: Simplify (* 1 1) into 1 7.587 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.587 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.587 * [backup-simplify]: Simplify (exp 0) into 1 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.588 * [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))))) 7.588 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 7.591 * [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 7.591 * [backup-simplify]: Simplify 0 into 0 7.592 * [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 7.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 7.596 * [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)) 7.596 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 7.597 * [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))))) 7.597 * [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))) 7.597 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.597 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.597 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.597 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.597 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.597 * [taylor]: Taking taylor expansion of 1/2 in a 7.597 * [backup-simplify]: Simplify 1/2 into 1/2 7.597 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.597 * [taylor]: Taking taylor expansion of a in a 7.597 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify 1 into 1 7.597 * [backup-simplify]: Simplify (* 1 1) into 1 7.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.598 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.598 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.598 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.598 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.598 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.598 * [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)))) 7.598 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.598 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.598 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.598 * [taylor]: Taking taylor expansion of 1/2 in a 7.598 * [backup-simplify]: Simplify 1/2 into 1/2 7.598 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.598 * [taylor]: Taking taylor expansion of a in a 7.598 * [backup-simplify]: Simplify 0 into 0 7.598 * [backup-simplify]: Simplify 1 into 1 7.599 * [backup-simplify]: Simplify (* 1 1) into 1 7.599 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.599 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.599 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.599 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.599 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.599 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.599 * [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)))) 7.600 * [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)))) 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify 0 into 0 7.600 * [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))))))) 7.600 * [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))) 7.600 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.600 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.600 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.600 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.600 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.600 * [taylor]: Taking taylor expansion of 1/2 in a 7.600 * [backup-simplify]: Simplify 1/2 into 1/2 7.600 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.600 * [taylor]: Taking taylor expansion of a in a 7.601 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify 1 into 1 7.601 * [backup-simplify]: Simplify (* 1 1) into 1 7.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.601 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.601 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.601 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.601 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.601 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.602 * [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)))) 7.602 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.602 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.602 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.602 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.602 * [taylor]: Taking taylor expansion of 1/2 in a 7.602 * [backup-simplify]: Simplify 1/2 into 1/2 7.602 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.602 * [taylor]: Taking taylor expansion of a in a 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.602 * [backup-simplify]: Simplify (* 1 1) into 1 7.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.602 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.602 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.603 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.603 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.603 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.603 * [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)))) 7.603 * [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)))) 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.603 * [backup-simplify]: Simplify 0 into 0 7.604 * [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))))))) 7.604 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 7.604 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.604 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 7.604 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 7.604 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.604 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 7.604 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.604 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.604 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.604 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 7.604 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 7.604 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.604 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 7.605 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.605 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 7.605 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.605 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 7.605 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 7.605 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.605 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 7.605 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.605 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.605 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 7.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.606 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.606 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 7.606 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 7.606 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.606 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 7.606 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.606 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.606 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 7.606 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.606 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 7.606 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 7.606 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.606 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 7.606 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.607 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 7.607 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.607 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 7.607 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 7.607 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.607 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 7.607 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.607 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 7.608 * * * [progress]: simplifying candidates 7.608 * [simplify]: Simplifying: (* (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)) (* (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)) (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))) (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)) 7.610 * * [simplify]: Extracting # 0 : cost 0 7.610 * * [simplify]: Extracting # 1 : cost 0 7.610 * * [simplify]: Extracting # 2 : cost 0 7.610 * * [simplify]: Extracting # 3 : cost 0 7.610 * * [simplify]: Extracting # 4 : cost 0 7.610 * * [simplify]: Extracting # 5 : cost 0 7.610 * * [simplify]: Extracting # 6 : cost 0 7.610 * * [simplify]: Extracting # 7 : cost 0 7.610 * * [simplify]: Extracting # 8 : cost 0 7.610 * * [simplify]: Extracting # 9 : cost 0 7.610 * * [simplify]: Extracting # 10 : cost 0 7.610 * * [simplify]: iteration 0 : 64 enodes (cost 892 ) 7.635 * * [simplify]: Extracting # 0 : cost 0 7.636 * * [simplify]: Extracting # 1 : cost 0 7.636 * * [simplify]: Extracting # 2 : cost 0 7.636 * * [simplify]: Extracting # 3 : cost 0 7.636 * * [simplify]: Extracting # 4 : cost 0 7.636 * * [simplify]: iteration 1 : 134 enodes (cost 832 ) 7.685 * * [simplify]: Extracting # 0 : cost 0 7.685 * * [simplify]: Extracting # 1 : cost 0 7.685 * * [simplify]: Extracting # 2 : cost 0 7.686 * * [simplify]: Extracting # 3 : cost 0 7.686 * * [simplify]: Extracting # 4 : cost 0 7.686 * * [simplify]: iteration 2 : 315 enodes (cost 800 ) 7.950 * * [simplify]: Extracting # 0 : cost 0 7.951 * * [simplify]: Extracting # 1 : cost 0 7.952 * * [simplify]: Extracting # 2 : cost 0 7.953 * * [simplify]: Extracting # 3 : cost 0 7.954 * * [simplify]: Extracting # 4 : cost 0 7.955 * * [simplify]: iteration 3 : 959 enodes (cost 762 ) 9.987 * * [simplify]: Extracting # 0 : cost 0 9.992 * * [simplify]: Extracting # 1 : cost 0 9.996 * * [simplify]: Extracting # 2 : cost 0 10.003 * * [simplify]: Extracting # 3 : cost 0 10.007 * * [simplify]: Extracting # 4 : cost 0 10.010 * * [simplify]: iteration 4 : 4093 enodes (cost 760 ) 12.549 * * [simplify]: Extracting # 0 : cost 0 12.561 * * [simplify]: Extracting # 1 : cost 0 12.565 * * [simplify]: Extracting # 2 : cost 0 12.570 * * [simplify]: Extracting # 3 : cost 0 12.575 * * [simplify]: Extracting # 4 : cost 0 12.579 * * [simplify]: iteration done: 5001 enodes (cost 756 ) 12.580 * [simplify]: Simplified to: (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (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 (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)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (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 (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)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (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))) (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))) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) 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)) 12.580 * * * [progress]: adding candidates to table 12.923 * [progress]: [Phase 3 of 3] Extracting. 12.923 * * [regime]: Finding splitpoints for: (# #) 12.924 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 12.924 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 12.969 * * * * [regimes]: Trying to branch on a from (# #) 12.997 * * * [regime]: Found split indices: #