19.291 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) 0.049 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.051 * * [simplify]: iteration 1 : 25 enodes (cost 9 ) 0.052 * * [simplify]: iteration 2 : 29 enodes (cost 9 ) 0.054 * * [simplify]: iteration 3 : 32 enodes (cost 9 ) 0.055 * * [simplify]: iteration 4 : 33 enodes (cost 9 ) 0.056 * * [simplify]: iteration 5 : 33 enodes (cost 9 ) 0.057 * [simplify]: Simplified to: (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) 0.057 * * [progress]: iteration 1 / 4 0.057 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.089 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.107 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.107 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 0.107 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.107 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.107 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.107 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.107 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.107 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.107 * [taylor]: Taking taylor expansion of PI in h 0.109 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 0.109 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.109 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.109 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.109 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.109 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.109 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.109 * [taylor]: Taking taylor expansion of PI in g 0.111 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 0.111 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.111 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.111 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.111 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.111 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.111 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.111 * [taylor]: Taking taylor expansion of PI in g 0.114 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 0.114 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.114 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.114 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.114 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.114 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.114 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.114 * [taylor]: Taking taylor expansion of PI in h 0.125 * [taylor]: Taking taylor expansion of 0 in h 0.133 * [taylor]: Taking taylor expansion of 0 in h 0.143 * [taylor]: Taking taylor expansion of 0 in h 0.144 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.144 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.144 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.144 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.144 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.144 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.144 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.145 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.145 * [taylor]: Taking taylor expansion of PI in h 0.146 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.146 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.146 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.146 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.146 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.146 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.146 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.146 * [taylor]: Taking taylor expansion of PI in g 0.148 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.148 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.148 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.148 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.148 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.148 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.148 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.148 * [taylor]: Taking taylor expansion of PI in g 0.151 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.151 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.151 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.151 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.151 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.151 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.151 * [taylor]: Taking taylor expansion of PI in h 0.158 * [taylor]: Taking taylor expansion of 0 in h 0.166 * [taylor]: Taking taylor expansion of 0 in h 0.175 * [taylor]: Taking taylor expansion of 0 in h 0.177 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.177 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.177 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.177 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.177 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.177 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.177 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.177 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.177 * [taylor]: Taking taylor expansion of PI in h 0.179 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.179 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.179 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.179 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.179 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.179 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.179 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.179 * [taylor]: Taking taylor expansion of PI in g 0.180 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.180 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.180 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.180 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.180 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.180 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.180 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.180 * [taylor]: Taking taylor expansion of PI in g 0.184 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.184 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.184 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.184 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.184 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.184 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.184 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.184 * [taylor]: Taking taylor expansion of PI in h 0.191 * [taylor]: Taking taylor expansion of 0 in h 0.199 * [taylor]: Taking taylor expansion of 0 in h 0.208 * [taylor]: Taking taylor expansion of 0 in h 0.208 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.209 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.209 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.209 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.212 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.212 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.212 * [taylor]: Taking taylor expansion of PI in h 0.212 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.212 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.212 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.212 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.212 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.212 * [taylor]: Taking taylor expansion of PI in g 0.212 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.212 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.212 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.213 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.213 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.213 * [taylor]: Taking taylor expansion of PI in g 0.214 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.214 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.214 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.214 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.214 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.214 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.214 * [taylor]: Taking taylor expansion of PI in h 0.216 * [taylor]: Taking taylor expansion of 0 in h 0.218 * [taylor]: Taking taylor expansion of 0 in h 0.221 * [taylor]: Taking taylor expansion of 0 in h 0.223 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.223 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.223 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.223 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.223 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.223 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.223 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.223 * [taylor]: Taking taylor expansion of PI in h 0.223 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.223 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.223 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.223 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.223 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.223 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.223 * [taylor]: Taking taylor expansion of PI in g 0.223 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.223 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.223 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.223 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.223 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.223 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.223 * [taylor]: Taking taylor expansion of PI in g 0.224 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.224 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.224 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.224 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.224 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.224 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.224 * [taylor]: Taking taylor expansion of PI in h 0.226 * [taylor]: Taking taylor expansion of 0 in h 0.229 * [taylor]: Taking taylor expansion of 0 in h 0.232 * [taylor]: Taking taylor expansion of 0 in h 0.233 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.233 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.233 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.233 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.233 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.233 * [taylor]: Taking taylor expansion of PI in h 0.233 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.233 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.233 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.233 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.233 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.233 * [taylor]: Taking taylor expansion of PI in g 0.233 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.233 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.233 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.233 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.233 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.233 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.234 * [taylor]: Taking taylor expansion of PI in g 0.234 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.234 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.234 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.234 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.234 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.235 * [taylor]: Taking taylor expansion of PI in h 0.237 * [taylor]: Taking taylor expansion of 0 in h 0.239 * [taylor]: Taking taylor expansion of 0 in h 0.242 * [taylor]: Taking taylor expansion of 0 in h 0.243 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.243 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in (g h) around 0 0.243 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.243 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.243 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.243 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.243 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.243 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.243 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.243 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.243 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.244 * [taylor]: Taking taylor expansion of 0 in h 0.245 * [taylor]: Taking taylor expansion of 0 in h 0.246 * [taylor]: Taking taylor expansion of 0 in h 0.247 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in (g h) around 0 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.248 * [taylor]: Taking taylor expansion of 0 in h 0.249 * [taylor]: Taking taylor expansion of 0 in h 0.250 * [taylor]: Taking taylor expansion of 0 in h 0.250 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in (g h) around 0 0.250 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.250 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.251 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.251 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.251 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.251 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.251 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.251 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.251 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.251 * [taylor]: Taking taylor expansion of 0 in h 0.252 * [taylor]: Taking taylor expansion of 0 in h 0.254 * [taylor]: Taking taylor expansion of 0 in h 0.254 * * * [progress]: simplifying candidates 0.255 * [simplify]: Simplifying using # : (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (acos (/ (- g) h)) 3.0))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (acos (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (cos (/ (asin (/ (- g) h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (sin (/ (asin (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (log (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (expm1 (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (log1p (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (* (exp (/ (* 2.0 PI) 3.0)) (exp (/ (acos (/ (- g) h)) 3.0))) (log (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (exp (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (* (* (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (+ (* (* 2.0 PI) 3.0) (* 3.0 (acos (/ (- g) h)))) (* 3.0 3.0) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (acos (/ (- g) h)) 3.0) 3)) (+ (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (- (* (/ (acos (/ (- g) h)) 3.0) (/ (acos (/ (- g) h)) 3.0)) (* (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (- (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (* (/ (acos (/ (- g) h)) 3.0) (/ (acos (/ (- g) h)) 3.0))) (- (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) (+ (* 2.0 PI) (acos (/ (- g) h))) (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0)) (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (expm1 (/ (acos (/ (- g) h)) 3.0)) (log1p (/ (acos (/ (- g) h)) 3.0)) (- (log (acos (/ (- g) h))) (log 3.0)) (log (/ (acos (/ (- g) h)) 3.0)) (exp (/ (acos (/ (- g) h)) 3.0)) (/ (* (* (acos (/ (- g) h)) (acos (/ (- g) h))) (acos (/ (- g) h))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (acos (/ (- g) h)) 3.0)) (cbrt (/ (acos (/ (- g) h)) 3.0))) (cbrt (/ (acos (/ (- g) h)) 3.0)) (* (* (/ (acos (/ (- g) h)) 3.0) (/ (acos (/ (- g) h)) 3.0)) (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)) (sqrt (/ (acos (/ (- g) h)) 3.0)) (- (acos (/ (- g) h))) (- 3.0) (/ (/ PI 2) 3.0) (/ (asin (/ (- g) h)) 3.0) (/ PI 3.0) (/ (acos (/ g h)) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (acos (/ (- g) h))) (cbrt 3.0)) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (cbrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) 1) (/ (cbrt (acos (/ (- g) h))) 3.0) (/ (sqrt (acos (/ (- g) h))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (cbrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) 1) (/ (sqrt (acos (/ (- g) h))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)) (/ 1 1) (/ (acos (/ (- g) h)) 3.0) (/ 1 3.0) (/ 3.0 (acos (/ (- g) h))) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (sqrt 3.0)) (/ (acos (/ (- g) h)) 1) (/ 3.0 (cbrt (acos (/ (- g) h)))) (/ 3.0 (sqrt (acos (/ (- g) h)))) (/ 3.0 (acos (/ (- g) h))) (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.3333333333333333 (acos (* -1 (/ g h)))) 0.261 * * [simplify]: iteration 0 : 332 enodes (cost 711 ) 0.267 * * [simplify]: iteration 1 : 1087 enodes (cost 659 ) 0.286 * * [simplify]: iteration 2 : 4512 enodes (cost 654 ) 0.363 * * [simplify]: iteration 3 : 5001 enodes (cost 654 ) 0.367 * [simplify]: Simplified to: (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (acos (/ (- g) h)) 3.0))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (acos (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (cos (/ (asin (/ (- g) h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (sin (/ (asin (/ (- g) h)) 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1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)) 1 (/ (acos (/ (- g) h)) 3.0) (/ 1 3.0) (/ 3.0 (acos (/ (- g) h))) (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (/ (acos (/ (- g) h)) (sqrt 3.0)) (acos (/ (- g) h)) (/ 3.0 (cbrt (acos (/ (- g) h)))) (/ 3.0 (sqrt (acos (/ (- g) h)))) (/ 3.0 (acos (/ (- g) h))) (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.3333333333333333 (acos (* -1 (/ g h)))) 0.367 * * * [progress]: adding candidates to table 0.634 * * [progress]: iteration 2 / 4 0.634 * * * [progress]: picking best candidate 0.645 * * * * [pick]: Picked # 0.645 * * * [progress]: localizing error 0.670 * * * [progress]: generating rewritten candidates 0.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 0.692 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.705 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1) 0.713 * * * [progress]: generating series expansions 0.713 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 0.713 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.713 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1) 0.713 * * * [progress]: simplifying candidates 0.714 * [simplify]: Simplifying using # : (expm1 (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (log1p (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (* 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3.0) (/ PI 3.0))) (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (+ (* (* 2.0 PI) 3.0) (* 3.0 PI)) (* 3.0 3.0) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ PI 3.0) 3)) (+ (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (- (* (/ PI 3.0) (/ PI 3.0)) (* (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (- (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (* (/ PI 3.0) (/ PI 3.0))) (- (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (+ (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (+ (/ 2.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (+ (/ 2.0 1) (/ 1 1)) (+ (/ 2.0 1) 1) (+ (* 2.0 PI) PI) (+ (/ 2.0 1) 1) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) 0.719 * * [simplify]: iteration 0 : 245 enodes (cost 488 ) 0.724 * * [simplify]: iteration 1 : 854 enodes (cost 447 ) 0.741 * * [simplify]: iteration 2 : 3943 enodes (cost 435 ) 0.816 * * [simplify]: iteration 3 : 5001 enodes (cost 435 ) 0.819 * [simplify]: Simplified to: (expm1 (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (log1p (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (* (sin (/ (* 2.0 PI) 3.0)) (cos (/ PI 3.0))) (* (cos (/ (* 2.0 PI) 3.0)) (sin (/ PI 3.0))) (log (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (exp (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (* (cbrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (cbrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))))) (cbrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (pow (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) 3) (sqrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (sqrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (expm1 (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (log1p (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (exp (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (log (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (exp (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (pow (fma (/ 2.0 3.0) PI (/ PI 3.0)) 3) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* 3.0 (fma 2.0 PI PI)) (* 3.0 3.0) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ PI 3.0) 3)) (* (/ PI 3.0) (+ (/ (* (* 2.0 PI) 2.0) 3.0) (- (/ PI 3.0) (/ (* 2.0 PI) 3.0)))) (* (/ PI 3.0) (- (/ (* (* 2.0 PI) 2.0) 3.0) (/ PI 3.0))) (- (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (fma (/ 2.0 3.0) PI (/ PI 3.0)) (+ (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (+ (/ 2.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (+ 1 2.0) (+ 1 2.0) (fma 2.0 PI PI) (+ 1 2.0) (expm1 (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (log1p (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (exp (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (log (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (exp (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (pow (fma (/ 2.0 3.0) PI (/ PI 3.0)) 3) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* 3.0 (fma 2.0 PI PI)) (* 3.0 3.0) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ PI 3.0) 3)) (* (/ PI 3.0) (+ (/ (* (* 2.0 PI) 2.0) 3.0) (- (/ PI 3.0) (/ (* 2.0 PI) 3.0)))) (* (/ PI 3.0) (- (/ (* (* 2.0 PI) 2.0) 3.0) (/ PI 3.0))) (- (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (fma (/ 2.0 3.0) PI (/ PI 3.0)) (+ (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (+ (/ 2.0 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (+ 1 2.0) (+ 1 2.0) (fma 2.0 PI PI) (+ 1 2.0) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) 0.819 * * * [progress]: adding candidates to table 1.227 * * [progress]: iteration 3 / 4 1.227 * * * [progress]: picking best candidate 1.234 * * * * [pick]: Picked # 1.235 * * * [progress]: localizing error 1.255 * * * [progress]: generating rewritten candidates 1.255 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 1.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 1.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.283 * * * [progress]: generating series expansions 1.284 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 1.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.284 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 1.284 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.285 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.285 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 1.285 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.285 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.285 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.285 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.285 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.285 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.285 * [taylor]: Taking taylor expansion of PI in h 1.287 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 1.287 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.287 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.287 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.287 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.287 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.287 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.287 * [taylor]: Taking taylor expansion of PI in g 1.289 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 1.289 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.289 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.289 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.289 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.289 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.289 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.289 * [taylor]: Taking taylor expansion of PI in g 1.292 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 1.292 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.292 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.292 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.293 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.293 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.293 * [taylor]: Taking taylor expansion of PI in h 1.300 * [taylor]: Taking taylor expansion of 0 in h 1.308 * [taylor]: Taking taylor expansion of 0 in h 1.317 * [taylor]: Taking taylor expansion of 0 in h 1.319 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.319 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.319 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.319 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.319 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.319 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.319 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.319 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.319 * [taylor]: Taking taylor expansion of PI in h 1.320 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.321 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.321 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.321 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.321 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.321 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.321 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.321 * [taylor]: Taking taylor expansion of PI in g 1.322 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.322 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.322 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.322 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.322 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.322 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.322 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.322 * [taylor]: Taking taylor expansion of PI in g 1.326 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.326 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.326 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.326 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.326 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.326 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.326 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.326 * [taylor]: Taking taylor expansion of PI in h 1.333 * [taylor]: Taking taylor expansion of 0 in h 1.341 * [taylor]: Taking taylor expansion of 0 in h 1.354 * [taylor]: Taking taylor expansion of 0 in h 1.355 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.355 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.355 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.355 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.355 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.355 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.355 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.355 * [taylor]: Taking taylor expansion of PI in h 1.357 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.357 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.357 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.357 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.357 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.357 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.357 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.357 * [taylor]: Taking taylor expansion of PI in g 1.359 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.359 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.359 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.359 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.359 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.359 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.359 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.359 * [taylor]: Taking taylor expansion of PI in g 1.362 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.362 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.362 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.362 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.362 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.362 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.362 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.362 * [taylor]: Taking taylor expansion of PI in h 1.369 * [taylor]: Taking taylor expansion of 0 in h 1.377 * [taylor]: Taking taylor expansion of 0 in h 1.386 * [taylor]: Taking taylor expansion of 0 in h 1.387 * * * [progress]: simplifying candidates 1.388 * [simplify]: Simplifying using # : (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (acos (/ (- g) h)) 3.0))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (acos (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (cos (/ (asin (/ (- g) h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (sin (/ (asin (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (log (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) 1.393 * * [simplify]: iteration 0 : 187 enodes (cost 530 ) 1.397 * * [simplify]: iteration 1 : 600 enodes (cost 468 ) 1.408 * * [simplify]: iteration 2 : 2565 enodes (cost 468 ) 1.451 * * [simplify]: iteration 3 : 5001 enodes (cost 468 ) 1.454 * [simplify]: Simplified to: (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (acos (/ (- g) h)) 3.0))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (acos (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (cos (/ (asin (/ (- g) h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ (/ PI 2) 3.0))) (sin (/ (asin (/ (- g) h)) 3.0))) (* (cos (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (cos (/ (acos (/ g h)) 3.0))) (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (/ (acos (/ g h)) 3.0))) (log (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) 1.454 * * * [progress]: adding candidates to table 1.751 * * [progress]: iteration 4 / 4 1.751 * * * [progress]: picking best candidate 1.756 * * * * [pick]: Picked # 1.756 * * * [progress]: localizing error 1.773 * * * [progress]: generating rewritten candidates 1.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.795 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.822 * * * [progress]: generating series expansions 1.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.824 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.824 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 1.824 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.824 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.824 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.824 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.824 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.824 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.824 * [taylor]: Taking taylor expansion of PI in h 1.826 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 1.826 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.826 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.826 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.826 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.826 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.826 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.826 * [taylor]: Taking taylor expansion of PI in g 1.828 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 1.828 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.828 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.828 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.828 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.828 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.828 * [taylor]: Taking taylor expansion of PI in g 1.831 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 1.831 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.831 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.831 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.831 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.831 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.831 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.831 * [taylor]: Taking taylor expansion of PI in h 1.838 * [taylor]: Taking taylor expansion of 0 in h 1.846 * [taylor]: Taking taylor expansion of 0 in h 1.855 * [taylor]: Taking taylor expansion of 0 in h 1.857 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.857 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.857 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.857 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.857 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.857 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.857 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.857 * [taylor]: Taking taylor expansion of PI in h 1.859 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.859 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.859 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.859 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.859 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.859 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.859 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.859 * [taylor]: Taking taylor expansion of PI in g 1.861 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.861 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.861 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.861 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.861 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.861 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.861 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.861 * [taylor]: Taking taylor expansion of PI in g 1.864 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.864 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.864 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.864 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.864 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.864 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.864 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.864 * [taylor]: Taking taylor expansion of PI in h 1.871 * [taylor]: Taking taylor expansion of 0 in h 1.879 * [taylor]: Taking taylor expansion of 0 in h 1.892 * [taylor]: Taking taylor expansion of 0 in h 1.894 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 1.894 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.894 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.894 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.894 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.894 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.894 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.894 * [taylor]: Taking taylor expansion of PI in h 1.896 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.896 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.896 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.896 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.896 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.896 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.896 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.896 * [taylor]: Taking taylor expansion of PI in g 1.898 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 1.898 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.898 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.898 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.898 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.898 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.898 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.898 * [taylor]: Taking taylor expansion of PI in g 1.901 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 1.901 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.901 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.901 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.901 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.901 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.901 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.901 * [taylor]: Taking taylor expansion of PI in h 1.908 * [taylor]: Taking taylor expansion of 0 in h 1.916 * [taylor]: Taking taylor expansion of 0 in h 1.925 * [taylor]: Taking taylor expansion of 0 in h 1.926 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.926 * [approximate]: Taking taylor expansion of (pow (pow (acos (* -1 (/ g h))) 2) 1/3) in (g h) around 0 1.926 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ g h))) 2) 1/3) in h 1.926 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ g h))) 2)))) in h 1.926 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ g h))) 2))) in h 1.926 * [taylor]: Taking taylor expansion of 1/3 in h 1.926 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ g h))) 2)) in h 1.926 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ g h))) 2) in h 1.926 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.927 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ g h))) 2) 1/3) in g 1.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ g h))) 2)))) in g 1.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ g h))) 2))) in g 1.927 * [taylor]: Taking taylor expansion of 1/3 in g 1.927 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ g h))) 2)) in g 1.927 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ g h))) 2) in g 1.927 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.927 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ g h))) 2) 1/3) in g 1.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ g h))) 2)))) in g 1.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ g h))) 2))) in g 1.927 * [taylor]: Taking taylor expansion of 1/3 in g 1.927 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ g h))) 2)) in g 1.928 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ g h))) 2) in g 1.928 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.928 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ g h))) 2) 1/3) in h 1.928 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ g h))) 2)))) in h 1.928 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ g h))) 2))) in h 1.928 * [taylor]: Taking taylor expansion of 1/3 in h 1.928 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ g h))) 2)) in h 1.928 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ g h))) 2) in h 1.928 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.931 * [taylor]: Taking taylor expansion of 0 in h 1.935 * [taylor]: Taking taylor expansion of 0 in h 1.943 * [taylor]: Taking taylor expansion of 0 in h 1.943 * [approximate]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in (g h) around 0 1.943 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in h 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in h 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in h 1.944 * [taylor]: Taking taylor expansion of 1/3 in h 1.944 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in h 1.944 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in h 1.944 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.944 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in g 1.944 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in g 1.944 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in g 1.944 * [taylor]: Taking taylor expansion of 1/3 in g 1.944 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in g 1.944 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in g 1.944 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.945 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in g 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in g 1.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in g 1.945 * [taylor]: Taking taylor expansion of 1/3 in g 1.945 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in g 1.945 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in g 1.945 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.945 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in h 1.945 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in h 1.945 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in h 1.945 * [taylor]: Taking taylor expansion of 1/3 in h 1.945 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in h 1.945 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in h 1.945 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.948 * [taylor]: Taking taylor expansion of 0 in h 1.953 * [taylor]: Taking taylor expansion of 0 in h 1.960 * [taylor]: Taking taylor expansion of 0 in h 1.961 * [approximate]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in (g h) around 0 1.961 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in h 1.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in h 1.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in h 1.961 * [taylor]: Taking taylor expansion of 1/3 in h 1.961 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in h 1.961 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in h 1.961 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.962 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in g 1.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in g 1.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in g 1.962 * [taylor]: Taking taylor expansion of 1/3 in g 1.962 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in g 1.962 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in g 1.962 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.962 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in g 1.962 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in g 1.962 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in g 1.962 * [taylor]: Taking taylor expansion of 1/3 in g 1.962 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in g 1.962 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in g 1.962 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.963 * [taylor]: Taking taylor expansion of (pow (pow (acos (* -1 (/ h g))) 2) 1/3) in h 1.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (acos (* -1 (/ h g))) 2)))) in h 1.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (acos (* -1 (/ h g))) 2))) in h 1.963 * [taylor]: Taking taylor expansion of 1/3 in h 1.963 * [taylor]: Taking taylor expansion of (log (pow (acos (* -1 (/ h g))) 2)) in h 1.963 * [taylor]: Taking taylor expansion of (pow (acos (* -1 (/ h g))) 2) in h 1.963 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.965 * [taylor]: Taking taylor expansion of 0 in h 1.970 * [taylor]: Taking taylor expansion of 0 in h 1.978 * [taylor]: Taking taylor expansion of 0 in h 1.978 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.982 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in (g h) around 0 1.982 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.982 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.982 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.982 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.982 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.982 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.982 * [taylor]: Taking taylor expansion of PI in h 1.982 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.982 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.982 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.982 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.982 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.983 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.983 * [taylor]: Taking taylor expansion of PI in g 1.983 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 1.983 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 1.983 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.983 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.983 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.983 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.983 * [taylor]: Taking taylor expansion of PI in g 1.984 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 1.984 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 1.984 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.984 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.984 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.984 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.984 * [taylor]: Taking taylor expansion of PI in h 1.986 * [taylor]: Taking taylor expansion of 0 in h 1.988 * [taylor]: Taking taylor expansion of 0 in h 1.991 * [taylor]: Taking taylor expansion of 0 in h 1.993 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 1.993 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.993 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.993 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.993 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.993 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.993 * [taylor]: Taking taylor expansion of PI in h 1.993 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.993 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.993 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.993 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.993 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.993 * [taylor]: Taking taylor expansion of PI in g 1.993 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 1.993 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 1.993 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 1.993 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.993 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.994 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.994 * [taylor]: Taking taylor expansion of PI in g 1.994 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 1.994 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 1.994 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 1.994 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.995 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.995 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.995 * [taylor]: Taking taylor expansion of PI in h 1.997 * [taylor]: Taking taylor expansion of 0 in h 1.999 * [taylor]: Taking taylor expansion of 0 in h 2.002 * [taylor]: Taking taylor expansion of 0 in h 2.004 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 2.004 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 2.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 2.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 2.004 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 2.004 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 2.004 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 2.004 * [taylor]: Taking taylor expansion of PI in h 2.004 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 2.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 2.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 2.004 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 2.004 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 2.004 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 2.004 * [taylor]: Taking taylor expansion of PI in g 2.004 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 2.004 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 2.004 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 2.004 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 2.004 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 2.004 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 2.004 * [taylor]: Taking taylor expansion of PI in g 2.005 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 2.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 2.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 2.005 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 2.005 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 2.005 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 2.005 * [taylor]: Taking taylor expansion of PI in h 2.007 * [taylor]: Taking taylor expansion of 0 in h 2.010 * [taylor]: Taking taylor expansion of 0 in h 2.013 * [taylor]: Taking taylor expansion of 0 in h 2.013 * * * [progress]: simplifying candidates 2.015 * [simplify]: Simplifying using # : (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (- (+ (log 2.0) (log PI)) (log 3.0)) (- (log (* 2.0 PI)) (log 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (/ (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* 3.0 3.0) 3.0)) (/ (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (* (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) (/ 2.0 1) (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (/ (* 2.0 PI) 1) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (* (* (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (expm1 (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (log1p (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (+ 1/3 1/3) (+ 1 1) (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (+ 1 1) (+ (log (cbrt (acos (/ (- g) h)))) (log (cbrt (acos (/ (- g) h))))) (log (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (exp (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (* (acos (/ (- g) h)) (acos (/ (- g) h))) (* (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (* (* (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (* (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (cbrt (acos (/ (- g) h))))) (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (cbrt (acos (/ (- g) h))))) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (cbrt (acos (/ (- g) h)))))) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (cbrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* 1 1) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt (sqrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* (cbrt (sqrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (cbrt (sqrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (cbrt (acos (/ (- g) h))))) (* 2 1/3) (* 2 1) (* (cbrt (acos (/ (- g) h))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (* (cbrt (acos (/ (- g) h))) (cbrt (sqrt (acos (/ (- g) h))))) (* (cbrt (acos (/ (- g) h))) (cbrt 1)) (* (cbrt (acos (/ (- g) h))) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (cbrt (acos (/ (- g) h)))))) (* (cbrt (acos (/ (- g) h))) (sqrt (cbrt (acos (/ (- g) h))))) (* (cbrt (acos (/ (- g) h))) 1) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (acos (/ (- g) h)))) (* (cbrt (sqrt (acos (/ (- g) h)))) (cbrt (acos (/ (- g) h)))) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (* (cbrt (cbrt (acos (/ (- g) h)))) (cbrt (acos (/ (- g) h)))) (* (sqrt (cbrt (acos (/ (- g) h)))) (cbrt (acos (/ (- g) h)))) (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (expm1 (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log1p (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (* (exp (/ (* 2.0 PI) 3.0)) (exp (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (exp (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (cbrt (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (* (* (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (+ (* (* 2.0 PI) (/ 3.0 (cbrt (acos (/ (- g) h))))) (* 3.0 (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (* 3.0 (/ 3.0 (cbrt (acos (/ (- g) h))))) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))) 3)) (+ (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (- (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (* (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (- (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (* (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (- (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (/ 3.0 (cbrt (acos (/ (- g) h)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) 2.022 * * [simplify]: iteration 0 : 330 enodes (cost 1258 ) 2.028 * * [simplify]: iteration 1 : 1321 enodes (cost 1130 ) 2.056 * * [simplify]: iteration 2 : 5001 enodes (cost 1041 ) 2.060 * [simplify]: Simplified to: (expm1 (/ (* 2.0 PI) 3.0)) (log1p (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (log (/ (* 2.0 PI) 3.0)) (exp (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* 2.0 PI) 3.0) 3) (* (cbrt (/ (* 2.0 PI) 3.0)) (cbrt (/ (* 2.0 PI) 3.0))) (cbrt (/ (* 2.0 PI) 3.0)) (pow (/ (* 2.0 PI) 3.0) 3) (sqrt (/ (* 2.0 PI) 3.0)) (sqrt (/ (* 2.0 PI) 3.0)) (- (* 2.0 PI)) (- 3.0) (/ 2.0 (* (cbrt 3.0) (cbrt 3.0))) (/ PI (cbrt 3.0)) (/ 2.0 (sqrt 3.0)) (/ PI (sqrt 3.0)) 2.0 (/ PI 3.0) (/ 1 3.0) (/ 3.0 (* 2.0 PI)) (/ (* 2.0 PI) (* (cbrt 3.0) (cbrt 3.0))) (/ (* 2.0 PI) (sqrt 3.0)) (* 2.0 PI) (/ 3.0 PI) (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (log1p (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) 3) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))))) (expm1 (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (log1p (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) 2/3 2 (pow (acos (* -1 (/ g h))) 2) (pow (sqrt (cbrt (acos (/ (- g) h)))) 4) 2 (* 2 (log (cbrt (acos (/ (- g) h))))) (* 2 (log (cbrt (acos (/ (- g) h))))) (pow (exp 1) (pow (sqrt (cbrt (acos (/ (- g) h)))) 4)) (pow (acos (* -1 (/ g h))) 2) (* (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (pow (acos (* -1 (/ g h))) 2) (fabs (cbrt (acos (/ (- g) h)))) (fabs (cbrt (acos (/ (- g) h)))) (* (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (cbrt 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(cbrt (acos (/ (- g) h))) (cbrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))))) (* (cbrt (acos (/ (- g) h))) (cbrt (sqrt (acos (/ (- g) h))))) (cbrt (acos (/ (- g) h))) (* (pow (cbrt (cbrt (acos (/ (- g) h)))) 4) (cbrt (cbrt (acos (/ (- g) h))))) (pow (sqrt (cbrt (acos (/ (- g) h)))) 3) (cbrt (acos (/ (- g) h))) (pow (cbrt (cbrt (acos (/ (- g) h)))) 4) (* (cbrt (acos (/ (- g) h))) (cbrt (sqrt (acos (/ (- g) h))))) (pow (sqrt (cbrt (acos (/ (- g) h)))) 4) (pow (cbrt (cbrt (acos (/ (- g) h)))) 4) (pow (sqrt (cbrt (acos (/ (- g) h)))) 3) (pow (sqrt (cbrt (acos (/ (- g) h)))) 4) (expm1 (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log1p (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (exp (+ (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))))) (log (+ (/ (* 2.0 PI) 3.0) (/ (* 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(acos (/ (- g) h)))))) (* 3.0 (/ 3.0 (cbrt (acos (/ (- g) h))))) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h))))) 3)) (fma (/ (* 2.0 2.0) 3.0) (/ (* PI PI) 3.0) (* (+ (/ (pow (cbrt (acos (/ (- g) h))) 3) 3.0) (- (/ (* 2.0 PI) 3.0))) (/ (pow (cbrt (acos (/ (- g) h))) 3) 3.0))) (fma (- (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (/ (pow (cbrt (acos (/ (- g) h))) 3) 3.0) (/ (* (* 2.0 PI) (* 2.0 PI)) (* 3.0 3.0))) (- (/ (* 2.0 PI) 3.0) (/ (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h)))) (/ 3.0 (cbrt (acos (/ (- g) h)))))) (fma (/ 2.0 3.0) PI (/ (pow (cbrt (acos (/ (- g) h))) 3) 3.0)) (/ 3.0 (cbrt (acos (/ (- g) h)))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (pow (pow (acos (* -1 (/ g h))) 2) 1/3) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) (fma 0.3333333333333333 (acos (* -1 (/ g h))) (* 0.6666666666666666 PI)) 2.061 * * * [progress]: adding candidates to table 2.345 * [progress]: [Phase 3 of 3] Extracting. 2.345 * * [regime]: Finding splitpoints for: (# # # #) 2.347 * * * [regime-changes]: Trying 8 branch expressions: ((- g) (/ (- g) h) (acos (/ (- g) h)) (/ (acos (/ (- g) h)) 3.0) (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) h g) 2.347 * * * * [regimes]: Trying to branch on (- g) from (# # # #) 2.368 * * * * [regimes]: Trying to branch on (- g) from (# # #) 2.387 * * * * [regimes]: Trying to branch on (/ (- g) h) from (# # # #) 2.407 * * * * [regimes]: Trying to branch on (/ (- g) h) from (# # #) 2.426 * * * * [regimes]: Trying to branch on (acos (/ (- g) h)) from (# # # #) 2.447 * * * * [regimes]: Trying to branch on (acos (/ (- g) h)) from (# # #) 2.463 * * * * [regimes]: Trying to branch on (/ (acos (/ (- g) h)) 3.0) from (# # # #) 2.487 * * * * [regimes]: Trying to branch on (/ (acos (/ (- g) h)) 3.0) from (# #) 2.501 * * * * [regimes]: Trying to branch on (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) from (# # # #) 2.522 * * * * [regimes]: Trying to branch on (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) from (# #) 2.540 * * * * [regimes]: Trying to branch on (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) from (# # # #) 2.561 * * * * [regimes]: Trying to branch on (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) from (# #) 2.577 * * * * [regimes]: Trying to branch on h from (# # # #) 2.600 * * * * [regimes]: Trying to branch on g from (# # # #) 2.622 * * * [regime]: Found split indices: #