27.125 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.148 * * * [progress]: [2/2] Setting up program. 0.150 * [progress]: [Phase 2 of 3] Improving. 0.151 * [simplify]: Simplifying using # : (pow (atan (fmod a (asin a))) (* a a)) 0.151 * [simplify]: Sending expressions to egg_math: (pow (atan (fmod h0 (asin h0))) (* h0 h0)) 0.153 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.155 * * [simplify]: iteration 1 : 17 enodes (cost 5 ) 0.156 * * [simplify]: iteration 2 : 40 enodes (cost 5 ) 0.158 * * [simplify]: iteration 3 : 104 enodes (cost 5 ) 0.160 * * [simplify]: iteration 4 : 328 enodes (cost 5 ) 0.169 * * [simplify]: iteration 5 : 1906 enodes (cost 5 ) 0.201 * * [simplify]: iteration 6 : 5002 enodes (cost 5 ) 0.201 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 0.201 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.219 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.220 * * * [progress]: generating series expansions 0.220 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.220 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 0.220 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.220 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.220 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.220 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.220 * [taylor]: Taking taylor expansion of a in a 0.220 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.220 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.221 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 0.222 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 0.222 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 0.222 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.222 * [taylor]: Taking taylor expansion of a in a 0.222 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 0.222 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 0.230 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.230 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.230 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.230 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.230 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.230 * [taylor]: Taking taylor expansion of a in a 0.231 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.231 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.231 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 0.231 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 0.231 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.231 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.231 * [taylor]: Taking taylor expansion of a in a 0.232 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 0.232 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 0.233 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 0.233 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.233 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.233 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.233 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.233 * [taylor]: Taking taylor expansion of a in a 0.233 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.233 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.234 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 0.234 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 0.234 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 0.234 * [taylor]: Taking taylor expansion of (pow a 2) in a 0.234 * [taylor]: Taking taylor expansion of a in a 0.234 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 0.234 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 0.235 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.235 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 0.235 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.235 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 0.235 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 0.236 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.236 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 0.236 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 0.236 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.236 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 0.236 * * * [progress]: simplifying candidates 0.237 * [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)) 0.237 * [simplify]: Sending expressions to egg_math: (expm1 (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (log1p (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (* (log (atan (fmod h0 (asin h0)))) (* h0 h0)) (* (log (atan (fmod h0 (asin h0)))) (* h0 h0)) (* 1 (* h0 h0)) (pow (atan (fmod h0 (asin h0))) h0) (pow (* (cbrt (atan (fmod h0 (asin h0)))) (cbrt (atan (fmod h0 (asin h0))))) (* h0 h0)) (pow (cbrt (atan (fmod h0 (asin h0)))) (* h0 h0)) (pow (sqrt (atan (fmod h0 (asin h0)))) (* h0 h0)) (pow (sqrt (atan (fmod h0 (asin h0)))) (* h0 h0)) (pow 1 (* h0 h0)) (pow (atan (fmod h0 (asin h0))) (* h0 h0)) (log (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (exp (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (* (cbrt (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (cbrt (pow (atan (fmod h0 (asin h0))) (* h0 h0)))) (cbrt (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (* (* (pow (atan (fmod h0 (asin h0))) (* h0 h0)) (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (sqrt (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (sqrt (pow (atan (fmod h0 (asin h0))) (* h0 h0))) (pow (atan (fmod h0 (asin h0))) (/ (* h0 h0) 2)) (pow (atan (fmod h0 (asin h0))) (/ (* h0 h0) 2)) (expm1 (fmod h0 (asin h0))) (log1p (fmod h0 (asin h0))) (log (fmod h0 (asin h0))) (exp (fmod h0 (asin h0))) (* (cbrt (fmod h0 (asin h0))) (cbrt (fmod h0 (asin h0)))) (cbrt (fmod h0 (asin h0))) (* (* (fmod h0 (asin h0)) (fmod h0 (asin h0))) (fmod h0 (asin h0))) (sqrt (fmod h0 (asin h0))) (sqrt (fmod h0 (asin h0))) (+ 1 (+ (* (pow h0 2) (log (atan (fmod h0 (asin h0))))) (* 1/2 (* (pow h0 4) (pow (log (atan (fmod h0 (asin h0)))) 2))))) (pow (atan (fmod h0 (asin h0))) (pow h0 2)) (pow (atan (fmod h0 (asin h0))) (pow h0 2)) (fmod h0 (asin h0)) (fmod h0 (asin h0)) (fmod h0 (asin h0)) 0.240 * * [simplify]: iteration 0 : 101 enodes (cost 197 ) 0.243 * * [simplify]: iteration 1 : 351 enodes (cost 186 ) 0.249 * * [simplify]: iteration 2 : 1351 enodes (cost 186 ) 0.288 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 0.289 * [simplify]: Simplified to: (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)) (pow a 2) (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))) (pow a 2)) (* (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))) (pow a 2)) 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)))) (+ (pow a 2) (* (* 1/2 (pow a 4)) (log (atan (fmod a (asin a)))))) 1) (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)) 0.289 * * * [progress]: adding candidates to table 0.372 * [progress]: [Phase 3 of 3] Extracting. 0.377 * [simplify]: Simplifying using # : (pow (atan (fmod a (asin a))) (* a a)) 0.377 * [simplify]: Sending expressions to egg_math: (pow (atan (fmod h0 (asin h0))) (* h0 h0)) 0.377 * * [simplify]: iteration 0 : 6 enodes (cost 5 ) 0.377 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 5.387 * [regime-testing]: End program error score: 31.444965792410272