30.281 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.175 * * * [progress]: [2/2] Setting up program. 0.178 * [progress]: [Phase 2 of 3] Improving. 0.179 * [simplify]: Simplifying using # : (pow (atan (fmod a (asin a))) (* a a)) 0.180 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.181 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.182 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.185 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.193 * * [simplify]: iteration 4 : 98 enodes (cost 9 ) 0.235 * * [simplify]: iteration 5 : 258 enodes (cost 9 ) 0.453 * * [simplify]: iteration 6 : 877 enodes (cost 9 ) 2.013 * * [simplify]: iteration 7 : 3214 enodes (cost 9 ) 3.268 * * [simplify]: iteration done : 5000 enodes (cost 9 ) 3.269 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 3.269 * * [progress]: iteration 1 / 4 3.269 * * * [progress]: picking best candidate 3.271 * * * * [pick]: Picked # 3.271 * * * [progress]: localizing error 3.280 * * * [progress]: generating rewritten candidates 3.280 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.281 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 3.282 * * * [progress]: generating series expansions 3.282 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.282 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 3.282 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 3.282 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 3.282 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 3.282 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.282 * [taylor]: Taking taylor expansion of a in a 3.282 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 3.282 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 3.283 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 3.283 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 3.283 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 3.283 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.283 * [taylor]: Taking taylor expansion of a in a 3.283 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 3.283 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 3.295 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 3.295 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 3.295 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 3.296 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.296 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.296 * [taylor]: Taking taylor expansion of a in a 3.296 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 3.297 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 3.297 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 3.297 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 3.297 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.297 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.297 * [taylor]: Taking taylor expansion of a in a 3.298 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 3.298 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 3.299 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 3.299 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 3.299 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 3.299 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 3.299 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.299 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.299 * [taylor]: Taking taylor expansion of a in a 3.300 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 3.300 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 3.301 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 3.301 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 3.301 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.301 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.301 * [taylor]: Taking taylor expansion of a in a 3.301 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 3.302 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 3.303 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 3.303 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 3.303 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 3.303 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 3.303 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 3.303 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 3.303 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 3.303 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 3.303 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 3.304 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 3.304 * * * [progress]: simplifying candidates 3.304 * [simplify]: Simplifying using # : (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)) 3.311 * * [simplify]: iteration 0 : 50 enodes (cost 352 ) 3.320 * * [simplify]: iteration 1 : 101 enodes (cost 337 ) 3.346 * * [simplify]: iteration 2 : 265 enodes (cost 319 ) 3.497 * * [simplify]: iteration 3 : 972 enodes (cost 318 ) 5.564 * * [simplify]: iteration 4 : 4200 enodes (cost 316 ) 6.797 * * [simplify]: iteration done : 5001 enodes (cost 316 ) 6.797 * [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 (log (atan (fmod a (asin a)))) (fma a a (* (* (log (atan (fmod a (asin a)))) (pow a 4)) 1/2)) 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)) 6.797 * * * [progress]: adding candidates to table 6.887 * * [progress]: iteration 2 / 4 6.887 * * * [progress]: picking best candidate 6.890 * * * * [pick]: Picked # 6.890 * * * [progress]: localizing error 6.902 * * * [progress]: generating rewritten candidates 6.902 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.904 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.906 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 6.907 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.908 * * * [progress]: generating series expansions 6.908 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.909 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 6.909 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.909 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.909 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.909 * [taylor]: Taking taylor expansion of 1/2 in a 6.909 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.909 * [taylor]: Taking taylor expansion of a in a 6.909 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.909 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.910 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.910 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.911 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.911 * [taylor]: Taking taylor expansion of 1/2 in a 6.911 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.911 * [taylor]: Taking taylor expansion of a in a 6.911 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.911 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.928 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.929 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.929 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.929 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.929 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.929 * [taylor]: Taking taylor expansion of 1/2 in a 6.929 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.929 * [taylor]: Taking taylor expansion of a in a 6.930 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.930 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.930 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.930 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.930 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.930 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.930 * [taylor]: Taking taylor expansion of 1/2 in a 6.930 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.931 * [taylor]: Taking taylor expansion of a in a 6.931 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.931 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.933 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.933 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.933 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.933 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.933 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.933 * [taylor]: Taking taylor expansion of 1/2 in a 6.933 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.933 * [taylor]: Taking taylor expansion of a in a 6.934 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.934 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.935 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.935 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.935 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.935 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.935 * [taylor]: Taking taylor expansion of 1/2 in a 6.935 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.935 * [taylor]: Taking taylor expansion of a in a 6.936 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.936 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.937 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 6.937 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.937 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.937 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.937 * [taylor]: Taking taylor expansion of 1/2 in a 6.937 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.937 * [taylor]: Taking taylor expansion of a in a 6.937 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.937 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.939 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 6.939 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 6.939 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 6.939 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 6.939 * [taylor]: Taking taylor expansion of 1/2 in a 6.939 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.939 * [taylor]: Taking taylor expansion of a in a 6.939 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 6.939 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 6.953 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.953 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.953 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.953 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.953 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.953 * [taylor]: Taking taylor expansion of 1/2 in a 6.953 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.953 * [taylor]: Taking taylor expansion of a in a 6.954 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.954 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.955 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 6.955 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 6.955 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 6.955 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.955 * [taylor]: Taking taylor expansion of 1/2 in a 6.955 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.955 * [taylor]: Taking taylor expansion of a in a 6.955 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 6.956 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 6.957 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 6.957 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.957 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.957 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.957 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.957 * [taylor]: Taking taylor expansion of 1/2 in a 6.957 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.957 * [taylor]: Taking taylor expansion of a in a 6.958 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.958 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.959 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 6.959 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 6.959 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 6.959 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 6.959 * [taylor]: Taking taylor expansion of 1/2 in a 6.959 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.959 * [taylor]: Taking taylor expansion of a in a 6.960 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 6.960 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 6.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.961 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 6.961 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.961 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.961 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 6.961 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.962 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.962 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 6.962 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.962 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.962 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.962 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 6.962 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.963 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 6.963 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 6.963 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.963 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 6.963 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 6.963 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.963 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 6.964 * * * [progress]: simplifying candidates 6.965 * [simplify]: Simplifying using # : (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)) 6.968 * * [simplify]: iteration 0 : 68 enodes (cost 960 ) 6.985 * * [simplify]: iteration 1 : 140 enodes (cost 898 ) 7.029 * * [simplify]: iteration 2 : 367 enodes (cost 866 ) 7.314 * * [simplify]: iteration 3 : 1321 enodes (cost 824 ) 8.520 * * [simplify]: iteration done : 5000 enodes (cost 824 ) 8.520 * [simplify]: Simplified to: (expm1 (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (* 1/2 (pow 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))) (* a a))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (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 (sqrt (pow (atan (fmod a (asin a))) (* a a))) 3) (sqrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (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))) (* a a)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (* 1/2 (pow 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))) (* a a))) (* (* a a) (log (sqrt (atan (fmod a (asin a)))))) (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 (sqrt (pow (atan (fmod a (asin a))) (* a a))) 3) (sqrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (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 (log (sqrt (atan (fmod a (asin a))))) (* a a) (fma (* 1/8 (pow a 4)) (pow (log (atan (fmod a (asin a)))) 2) 1)) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (fma (log (sqrt (atan (fmod a (asin a))))) (* a a) (fma (* 1/8 (pow a 4)) (pow (log (atan (fmod a (asin a)))) 2) 1)) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (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)) 8.521 * * * [progress]: adding candidates to table 8.801 * [progress]: [Phase 3 of 3] Extracting. 8.801 * * [regime]: Finding splitpoints for: (# #) 8.802 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 8.802 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 8.828 * * * * [regimes]: Trying to branch on a from (# #) 8.841 * * * [regime]: Found split indices: #