4.326 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.046 * [simplify]: Simplifying using # : (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) 0.046 * [simplify]: Sending expressions to egg_math: (* h0 (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) 0.049 * * [simplify]: iteration 0 : 21 enodes (cost 9 ) 0.050 * * [simplify]: iteration 1 : 25 enodes (cost 9 ) 0.051 * * [simplify]: iteration 2 : 28 enodes (cost 9 ) 0.053 * * [simplify]: iteration 3 : 29 enodes (cost 9 ) 0.054 * * [simplify]: iteration 4 : 29 enodes (cost 9 ) 0.054 * [simplify]: Simplified to: (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.142 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.151 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.151 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 0.151 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.151 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.151 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.152 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.152 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.152 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.152 * [taylor]: Taking taylor expansion of PI in h 0.153 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 0.153 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.153 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.153 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.153 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.153 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.153 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.153 * [taylor]: Taking taylor expansion of PI in g 0.155 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in g 0.155 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.155 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.155 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.155 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.155 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.155 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.155 * [taylor]: Taking taylor expansion of PI in g 0.158 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI))) in h 0.158 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.158 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.158 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.158 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.158 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.159 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.159 * [taylor]: Taking taylor expansion of PI in h 0.165 * [taylor]: Taking taylor expansion of 0 in h 0.172 * [taylor]: Taking taylor expansion of 0 in h 0.180 * [taylor]: Taking taylor expansion of 0 in h 0.181 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.181 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.181 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.181 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.181 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.181 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.181 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.181 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.181 * [taylor]: Taking taylor expansion of PI in h 0.183 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.183 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.183 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.183 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.183 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.183 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.183 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.183 * [taylor]: Taking taylor expansion of PI in g 0.185 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.185 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.185 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.185 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.185 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.185 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.185 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.185 * [taylor]: Taking taylor expansion of PI in g 0.188 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.188 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.188 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.188 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.188 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.188 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.188 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.188 * [taylor]: Taking taylor expansion of PI in h 0.194 * [taylor]: Taking taylor expansion of 0 in h 0.207 * [taylor]: Taking taylor expansion of 0 in h 0.216 * [taylor]: Taking taylor expansion of 0 in h 0.217 * [approximate]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in (g h) around 0 0.217 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 0.217 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.217 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.217 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.217 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.218 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.218 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.218 * [taylor]: Taking taylor expansion of PI in h 0.219 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.219 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.219 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.219 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.219 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.219 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.219 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.219 * [taylor]: Taking taylor expansion of PI in g 0.221 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in g 0.221 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.221 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.221 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.221 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.221 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.221 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.221 * [taylor]: Taking taylor expansion of PI in g 0.224 * [taylor]: Taking taylor expansion of (cos (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI))) in h 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 0.230 * [taylor]: Taking taylor expansion of 0 in h 0.237 * [taylor]: Taking taylor expansion of 0 in h 0.245 * [taylor]: Taking taylor expansion of 0 in h 0.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.246 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.246 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.246 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.246 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.247 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.247 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.247 * [taylor]: Taking taylor expansion of PI in h 0.247 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.247 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.247 * [taylor]: Taking taylor expansion of PI in g 0.247 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.247 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.247 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.247 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.247 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.247 * [taylor]: Taking taylor expansion of PI in g 0.248 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ g h)))) (* 0.6666666666666666 PI)) in h 0.248 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.248 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.248 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.248 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.248 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.248 * [taylor]: Taking taylor expansion of PI in h 0.250 * [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 0.256 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.256 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.256 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.256 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.256 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.256 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.256 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.256 * [taylor]: Taking taylor expansion of PI in h 0.256 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.256 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.256 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.256 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.256 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.256 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.256 * [taylor]: Taking taylor expansion of PI in g 0.256 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.256 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.256 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.256 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.256 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.256 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.256 * [taylor]: Taking taylor expansion of PI in g 0.257 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.257 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.257 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.257 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.257 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.257 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.257 * [taylor]: Taking taylor expansion of PI in h 0.259 * [taylor]: Taking taylor expansion of 0 in h 0.261 * [taylor]: Taking taylor expansion of 0 in h 0.264 * [taylor]: Taking taylor expansion of 0 in h 0.266 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in (g h) around 0 0.266 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.266 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.266 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.266 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.266 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.266 * [taylor]: Taking taylor expansion of PI in h 0.266 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.266 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.266 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.266 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.266 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.266 * [taylor]: Taking taylor expansion of PI in g 0.266 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in g 0.266 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.266 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.266 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 0.266 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 0.266 * [taylor]: Taking taylor expansion of PI in g 0.267 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (acos (* -1 (/ h g)))) (* 0.6666666666666666 PI)) in h 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.267 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.267 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 0.267 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 0.267 * [taylor]: Taking taylor expansion of PI in h 0.269 * [taylor]: Taking taylor expansion of 0 in h 0.271 * [taylor]: Taking taylor expansion of 0 in h 0.274 * [taylor]: Taking taylor expansion of 0 in h 0.274 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.275 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in (g h) around 0 0.275 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.275 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.275 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.275 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.275 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in g 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.275 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 0.275 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ g h)))) in h 0.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.275 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 0.276 * [taylor]: Taking taylor expansion of 0 in h 0.276 * [taylor]: Taking taylor expansion of 0 in h 0.278 * [taylor]: Taking taylor expansion of 0 in h 0.278 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in (g h) around 0 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.278 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.278 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.278 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.278 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.278 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.278 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.279 * [taylor]: Taking taylor expansion of 0 in h 0.280 * [taylor]: Taking taylor expansion of 0 in h 0.281 * [taylor]: Taking taylor expansion of 0 in h 0.281 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in (g h) around 0 0.281 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.281 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.281 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.281 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.281 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in g 0.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in g 0.281 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 0.282 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (acos (* -1 (/ h g)))) in h 0.282 * [taylor]: Taking taylor expansion of 0.3333333333333333 in h 0.282 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 0.282 * [taylor]: Taking taylor expansion of 0 in h 0.283 * [taylor]: Taking taylor expansion of 0 in h 0.284 * [taylor]: Taking taylor expansion of 0 in h 0.284 * * * [progress]: simplifying candidates 0.286 * [simplify]: Simplifying using # : (- (+ (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)) (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)))) (* (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)) (- (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)))) 0.286 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log PI)) (log h1)) (- (log (* h0 PI)) (log h1)) (log (/ (* h0 PI) h1)) (exp (/ (* h0 PI) h1)) (/ (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (/ (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 PI) h1)) (cbrt (/ (* h0 PI) h1))) (cbrt (/ (* h0 PI) h1)) (* (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (- (* h0 PI)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ PI (cbrt h1)) (/ h0 (sqrt h1)) (/ PI (sqrt h1)) (/ h0 1) (/ PI h1) (/ 1 h1) (/ h1 (* h0 PI)) (/ (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (* h0 PI) (sqrt h1)) (/ (* h0 PI) 1) (/ h1 PI) (* (cos (/ (* h0 PI) h1)) (cos (/ (acos (/ (- h2) h3)) h1))) (* (sin (/ (* h0 PI) h1)) (sin (/ (acos (/ (- h2) h3)) h1))) (* (cos (+ (/ (* h0 PI) h1) (/ (/ PI 2) h1))) (cos (/ (asin (/ (- h2) h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ (/ PI 2) h1))) (sin (/ (asin (/ (- h2) h3)) h1))) (* (cos (+ (/ (* h0 PI) h1) (/ PI h1))) (cos (/ (acos (/ h2 h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (/ (acos (/ h2 h3)) h1))) (log (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (exp (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (* (cbrt (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (cbrt (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))))) (cbrt (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (* (* (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (sqrt (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (sqrt (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (* (exp (/ (* h0 PI) h1)) (exp (/ (acos (/ (- h2) h3)) h1))) (log (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (exp (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (* (cbrt (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (cbrt (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (cbrt (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (* (* (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)) (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (sqrt (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (sqrt (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1))) (+ (* (* h0 PI) h1) (* h1 (acos (/ (- h2) h3)))) (* h1 h1) (+ (pow (/ (* h0 PI) h1) 3) (pow (/ (acos (/ (- h2) h3)) h1) 3)) (+ (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (- (* (/ (acos (/ (- h2) h3)) h1) (/ (acos (/ (- h2) h3)) h1)) (* (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (- (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (* (/ (acos (/ (- h2) h3)) h1) (/ (acos (/ (- h2) h3)) h1))) (- (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)) (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)) (+ (* h0 PI) (acos (/ (- h2) h3))) (+ (/ (* h0 PI) h1) (/ (/ PI 2) h1)) (+ (/ (* h0 PI) h1) (/ PI h1)) (- (log (acos (/ (- h2) h3))) (log h1)) (log (/ (acos (/ (- h2) h3)) h1)) (exp (/ (acos (/ (- h2) h3)) h1)) (/ (* (* (acos (/ (- h2) h3)) (acos (/ (- h2) h3))) (acos (/ (- h2) h3))) (* (* h1 h1) h1)) (* (cbrt (/ (acos (/ (- h2) h3)) h1)) (cbrt (/ (acos (/ (- h2) h3)) h1))) (cbrt (/ (acos (/ (- h2) h3)) h1)) (* (* (/ (acos (/ (- h2) h3)) h1) (/ (acos (/ (- h2) h3)) h1)) (/ (acos (/ (- h2) h3)) h1)) (sqrt (/ (acos (/ (- h2) h3)) h1)) (sqrt (/ (acos (/ (- h2) h3)) h1)) (- (acos (/ (- h2) h3))) (- h1) (/ (/ PI 2) h1) (/ (asin (/ (- h2) h3)) h1) (/ PI h1) (/ (acos (/ h2 h3)) h1) (/ (* (cbrt (acos (/ (- h2) h3))) (cbrt (acos (/ (- h2) h3)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (acos (/ (- h2) h3))) (cbrt h1)) (/ (* (cbrt (acos (/ (- h2) h3))) (cbrt (acos (/ (- h2) h3)))) (sqrt h1)) (/ (cbrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (* (cbrt (acos (/ (- h2) h3))) (cbrt (acos (/ (- h2) h3)))) 1) (/ (cbrt (acos (/ (- h2) h3))) h1) (/ (sqrt (acos (/ (- h2) h3))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (acos (/ (- h2) h3))) (cbrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) 1) (/ (sqrt (acos (/ (- h2) h3))) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (acos (/ (- h2) h3)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (acos (/ (- h2) h3)) (sqrt h1)) (/ 1 1) (/ (acos (/ (- h2) h3)) h1) (/ 1 h1) (/ h1 (acos (/ (- h2) h3))) (/ (acos (/ (- h2) h3)) (* (cbrt h1) (cbrt h1))) (/ (acos (/ (- h2) h3)) (sqrt h1)) (/ (acos (/ (- h2) h3)) 1) (/ h1 (cbrt (acos (/ (- h2) h3)))) (/ h1 (sqrt (acos (/ (- h2) h3)))) (/ h1 (acos (/ (- h2) h3))) (* h0 (cos (+ (/ (* h0 PI) h1) (/ (acos (/ (- h2) h3)) h1)))) (cos (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI))) (cos (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI))) (cos (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI))) (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI)) (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI)) (+ (* h4 (acos (* -1 (/ h2 h3)))) (* h5 PI)) (* h4 (acos (* -1 (/ h2 h3)))) (* h4 (acos (* -1 (/ h2 h3)))) (* h4 (acos (* -1 (/ h2 h3)))) 0.291 * * [simplify]: iteration 0 : 318 enodes (cost 666 ) 0.297 * * [simplify]: iteration 1 : 1047 enodes (cost 614 ) 0.315 * * [simplify]: iteration 2 : 4395 enodes (cost 614 ) 0.389 * * [simplify]: iteration 3 : 5002 enodes (cost 614 ) 0.393 * [simplify]: Simplified to: (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)) (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)))) (exp (+ (/ (* 2.0 PI) 3.0) (/ (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))) (pow (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)) 3) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (* 3.0 (+ (acos (/ (- g) h)) (* 2.0 PI))) (* 3.0 3.0) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (/ (acos (/ (- g) h)) 3.0) 3)) (+ (* (/ (acos (/ (- g) h)) 3.0) (- (/ (acos (/ (- g) h)) 3.0) (/ (* 2.0 PI) 3.0))) (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 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)) (log (/ (acos (/ (- g) h)) 3.0)) (log (/ (acos (/ (- g) h)) 3.0)) (exp (/ (acos (/ (- g) h)) 3.0)) (pow (/ (acos (/ (- g) h)) 3.0) 3) (* (cbrt (/ (acos (/ (- g) h)) 3.0)) (cbrt (/ (acos (/ (- g) h)) 3.0))) (cbrt (/ (acos (/ (- g) h)) 3.0)) (pow (/ (acos (/ (- g) h)) 3.0) 3) (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)))) (/ (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))) (/ (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 (/ (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))) (+ (* 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)))) 0.399 * * * [progress]: adding candidates to table 0.610 * * [progress]: iteration 2 / 4 0.610 * * * [progress]: picking best candidate 0.618 * * * * [pick]: Picked # 0.618 * * * [progress]: localizing error 0.647 * * * [progress]: generating rewritten candidates 0.647 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 0.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1) 0.732 * * * [progress]: generating series expansions 0.732 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.732 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 0.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.732 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1) 0.732 * * * [progress]: simplifying candidates 0.733 * [simplify]: Simplifying using # : (* (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)))) (* (* (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (sqrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (sqrt (sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))) (* (exp (/ (* 2.0 PI) 3.0)) (exp (/ 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))) (* (* (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (+ (/ (* 2.0 PI) 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) (* (exp (/ (* 2.0 PI) 3.0)) (exp (/ 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))) (* (* (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) (+ (/ (* 2.0 PI) 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) (- (+ (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))) 0.734 * [simplify]: Sending expressions to egg_math: (* (sin (/ (* h0 PI) h1)) (cos (/ PI h1))) (* (cos (/ (* h0 PI) h1)) (sin (/ PI h1))) (log (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (exp (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (* (cbrt (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (cbrt (sin (+ (/ (* h0 PI) h1) (/ PI h1))))) (cbrt (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (* (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (sqrt (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (sqrt (sin (+ (/ (* h0 PI) h1) (/ PI h1)))) (* (exp (/ (* h0 PI) h1)) (exp (/ PI h1))) (log (+ (/ (* h0 PI) h1) (/ PI h1))) (exp (+ (/ (* h0 PI) h1) (/ PI h1))) (* (cbrt (+ (/ (* h0 PI) h1) (/ PI h1))) (cbrt (+ (/ (* h0 PI) h1) (/ PI h1)))) (cbrt (+ (/ (* h0 PI) h1) (/ PI h1))) (* (* (+ (/ (* h0 PI) h1) (/ PI h1)) (+ (/ (* h0 PI) h1) (/ PI h1))) (+ (/ (* h0 PI) h1) (/ PI h1))) (sqrt (+ (/ (* h0 PI) h1) (/ PI h1))) (sqrt (+ (/ (* h0 PI) h1) (/ PI h1))) (+ (* (* h0 PI) h1) (* h1 PI)) (* h1 h1) (+ (pow (/ (* h0 PI) h1) 3) (pow (/ PI h1) 3)) (+ (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (- (* (/ PI h1) (/ PI h1)) (* (/ (* h0 PI) h1) (/ PI h1)))) (- (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (* (/ PI h1) (/ PI h1))) (- (/ (* h0 PI) h1) (/ PI h1)) (+ (/ (* h0 PI) h1) (/ PI h1)) (+ (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (* (cbrt h1) (cbrt h1)))) (+ (/ h0 (sqrt h1)) (/ 1 (sqrt h1))) (+ (/ h0 1) (/ 1 1)) (+ (/ h0 1) 1) (+ (* h0 PI) PI) (+ (/ h0 1) 1) (* (exp (/ (* h0 PI) h1)) (exp (/ PI h1))) (log (+ (/ (* h0 PI) h1) (/ PI h1))) (exp (+ (/ (* h0 PI) h1) (/ PI h1))) (* (cbrt (+ (/ (* h0 PI) h1) (/ PI h1))) (cbrt (+ (/ (* h0 PI) h1) (/ PI h1)))) (cbrt (+ (/ (* h0 PI) h1) (/ PI h1))) (* (* (+ (/ (* h0 PI) h1) (/ PI h1)) (+ (/ (* h0 PI) h1) (/ PI h1))) (+ (/ (* h0 PI) h1) (/ PI h1))) (sqrt (+ (/ (* h0 PI) h1) (/ PI h1))) (sqrt (+ (/ (* h0 PI) h1) (/ PI h1))) (+ (* (* h0 PI) h1) (* h1 PI)) (* h1 h1) (+ (pow (/ (* h0 PI) h1) 3) (pow (/ PI h1) 3)) (+ (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (- (* (/ PI h1) (/ PI h1)) (* (/ (* h0 PI) h1) (/ PI h1)))) (- (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (* (/ PI h1) (/ PI h1))) (- (/ (* h0 PI) h1) (/ PI h1)) (+ (/ (* h0 PI) h1) (/ PI h1)) (+ (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (* (cbrt h1) (cbrt h1)))) (+ (/ h0 (sqrt h1)) (/ 1 (sqrt h1))) (+ (/ h0 1) (/ 1 1)) (+ (/ h0 1) 1) (+ (* h0 PI) PI) (+ (/ h0 1) 1) (- (+ (log h0) (log PI)) (log h1)) (- (log (* h0 PI)) (log h1)) (log (/ (* h0 PI) h1)) (exp (/ (* h0 PI) h1)) (/ (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (/ (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 PI) h1)) (cbrt (/ (* h0 PI) h1))) (cbrt (/ (* h0 PI) h1)) (* (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (- (* h0 PI)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ PI (cbrt h1)) (/ h0 (sqrt h1)) (/ PI (sqrt h1)) (/ h0 1) (/ PI h1) (/ 1 h1) (/ h1 (* h0 PI)) (/ (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (* h0 PI) (sqrt h1)) (/ (* h0 PI) 1) (/ h1 PI) (* (cos (+ (/ (* h0 PI) h1) (/ PI h1))) (cos (/ (acos (/ h2 h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (/ (acos (/ h2 h3)) h1))) (* (cos (+ (/ (* h0 PI) h1) (/ PI h1))) (cos (/ (acos (/ h2 h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (/ (acos (/ h2 h3)) h1))) (* (cos (+ (/ (* h0 PI) h1) (/ PI h1))) (cos (/ (acos (/ h2 h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (/ (acos (/ h2 h3)) h1))) (* (cos (+ (/ (* h0 PI) h1) (/ PI h1))) (cos (/ (acos (/ h2 h3)) h1))) (* (sin (+ (/ (* h0 PI) h1) (/ PI h1))) (sin (/ (acos (/ h2 h3)) h1))) 0.738 * * [simplify]: iteration 0 : 234 enodes (cost 454 ) 0.743 * * [simplify]: iteration 1 : 822 enodes (cost 413 ) 0.760 * * [simplify]: iteration 2 : 3837 enodes (cost 405 ) 0.830 * * [simplify]: iteration 3 : 5002 enodes (cost 405 ) 0.833 * [simplify]: Simplified to: (* (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)))) (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 (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) 3) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* 3.0 (+ PI (* 2.0 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)) (+ (/ (* 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))) (+ 1 2.0) (+ 1 2.0) (+ (* 2.0 PI) PI) (+ 1 2.0) (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 (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)) 3) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (sqrt (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))) (* 3.0 (+ PI (* 2.0 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)) (+ (/ (* 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))) (+ 1 2.0) (+ 1 2.0) (+ (* 2.0 PI) PI) (+ 1 2.0) (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))) 0.833 * * * [progress]: adding candidates to table 1.116 * * [progress]: iteration 3 / 4 1.117 * * * [progress]: picking best candidate 1.122 * * * * [pick]: Picked # 1.122 * * * [progress]: localizing error 1.138 * * * [progress]: generating rewritten candidates 1.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.205 * * * [progress]: generating series expansions 1.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.205 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.207 * [approximate]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in (g h) around 0 1.207 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in h 1.207 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.207 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.207 * [taylor]: Taking taylor expansion of PI in h 1.207 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in h 1.207 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.207 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.207 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.207 * [taylor]: Taking taylor expansion of 3.0 in h 1.209 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in g 1.209 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.209 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.209 * [taylor]: Taking taylor expansion of PI in g 1.209 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in g 1.209 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.209 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.210 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.210 * [taylor]: Taking taylor expansion of 3.0 in g 1.211 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in g 1.211 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.211 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.212 * [taylor]: Taking taylor expansion of PI in g 1.212 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in g 1.212 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.212 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.212 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.212 * [taylor]: Taking taylor expansion of 3.0 in g 1.215 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in h 1.215 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.215 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.215 * [taylor]: Taking taylor expansion of PI in h 1.215 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in h 1.215 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.215 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.215 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.215 * [taylor]: Taking taylor expansion of 3.0 in h 1.222 * [taylor]: Taking taylor expansion of 0 in h 1.228 * [taylor]: Taking taylor expansion of 0 in h 1.236 * [taylor]: Taking taylor expansion of 0 in h 1.239 * [approximate]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in (g h) around 0 1.239 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.239 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.239 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.239 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.239 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.239 * [taylor]: Taking taylor expansion of 3.0 in h 1.241 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.241 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.241 * [taylor]: Taking taylor expansion of PI in h 1.241 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.241 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.241 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.241 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.241 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.241 * [taylor]: Taking taylor expansion of 3.0 in g 1.243 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.243 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.243 * [taylor]: Taking taylor expansion of PI in g 1.243 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.243 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.243 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.243 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.243 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.243 * [taylor]: Taking taylor expansion of 3.0 in g 1.245 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.245 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.245 * [taylor]: Taking taylor expansion of PI in g 1.246 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.246 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.246 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.246 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.246 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.246 * [taylor]: Taking taylor expansion of 3.0 in h 1.249 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.249 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.249 * [taylor]: Taking taylor expansion of PI in h 1.253 * [taylor]: Taking taylor expansion of 0 in h 1.259 * [taylor]: Taking taylor expansion of 0 in h 1.268 * [taylor]: Taking taylor expansion of 0 in h 1.270 * [approximate]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in (g h) around 0 1.270 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.270 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.270 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.270 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.270 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.270 * [taylor]: Taking taylor expansion of 3.0 in h 1.272 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.272 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.272 * [taylor]: Taking taylor expansion of PI in h 1.272 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.272 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.272 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.272 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.272 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.272 * [taylor]: Taking taylor expansion of 3.0 in g 1.274 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.274 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.274 * [taylor]: Taking taylor expansion of PI in g 1.274 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.274 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.274 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.274 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.274 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.274 * [taylor]: Taking taylor expansion of 3.0 in g 1.276 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.276 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.276 * [taylor]: Taking taylor expansion of PI in g 1.277 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.278 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.278 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.278 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.278 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.278 * [taylor]: Taking taylor expansion of 3.0 in h 1.280 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.280 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.280 * [taylor]: Taking taylor expansion of PI in h 1.284 * [taylor]: Taking taylor expansion of 0 in h 1.290 * [taylor]: Taking taylor expansion of 0 in h 1.306 * [taylor]: Taking taylor expansion of 0 in h 1.307 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.309 * [approximate]: Taking taylor expansion of (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) in (g h) around 0 1.309 * [taylor]: Taking taylor expansion of (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) in h 1.309 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in h 1.309 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.309 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.309 * [taylor]: Taking taylor expansion of PI in h 1.309 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in h 1.309 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.309 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.309 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.309 * [taylor]: Taking taylor expansion of 3.0 in h 1.314 * [taylor]: Taking taylor expansion of (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) in g 1.314 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in g 1.314 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.314 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.314 * [taylor]: Taking taylor expansion of PI in g 1.314 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in g 1.314 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.314 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.314 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.314 * [taylor]: Taking taylor expansion of 3.0 in g 1.319 * [taylor]: Taking taylor expansion of (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) in g 1.319 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in g 1.319 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.319 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.319 * [taylor]: Taking taylor expansion of PI in g 1.319 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in g 1.319 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.319 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.319 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.319 * [taylor]: Taking taylor expansion of 3.0 in g 1.327 * [taylor]: Taking taylor expansion of (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) in h 1.327 * [taylor]: Taking taylor expansion of (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) in h 1.327 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.327 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.327 * [taylor]: Taking taylor expansion of PI in h 1.327 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)) in h 1.327 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.327 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.327 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.327 * [taylor]: Taking taylor expansion of 3.0 in h 1.342 * [taylor]: Taking taylor expansion of 0 in h 1.355 * [taylor]: Taking taylor expansion of 0 in h 1.371 * [taylor]: Taking taylor expansion of 0 in h 1.373 * [approximate]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in (g h) around 0 1.373 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in h 1.373 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.373 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.373 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.373 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.373 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.373 * [taylor]: Taking taylor expansion of 3.0 in h 1.375 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.375 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.375 * [taylor]: Taking taylor expansion of PI in h 1.378 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in g 1.378 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.378 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.378 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.379 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.379 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.379 * [taylor]: Taking taylor expansion of 3.0 in g 1.380 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.380 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.380 * [taylor]: Taking taylor expansion of PI in g 1.383 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in g 1.384 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.384 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.384 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.384 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.384 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.384 * [taylor]: Taking taylor expansion of 3.0 in g 1.386 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.386 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.386 * [taylor]: Taking taylor expansion of PI in g 1.399 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in h 1.399 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.400 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.400 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.400 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.400 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.400 * [taylor]: Taking taylor expansion of 3.0 in h 1.402 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.402 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.402 * [taylor]: Taking taylor expansion of PI in h 1.415 * [taylor]: Taking taylor expansion of 0 in h 1.429 * [taylor]: Taking taylor expansion of 0 in h 1.445 * [taylor]: Taking taylor expansion of 0 in h 1.447 * [approximate]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in (g h) around 0 1.447 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in h 1.447 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.447 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.447 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.447 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.448 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.448 * [taylor]: Taking taylor expansion of 3.0 in h 1.450 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.450 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.450 * [taylor]: Taking taylor expansion of PI in h 1.453 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in g 1.453 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.453 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.453 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.453 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.453 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.453 * [taylor]: Taking taylor expansion of 3.0 in g 1.455 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.455 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.455 * [taylor]: Taking taylor expansion of PI in g 1.458 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in g 1.458 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in g 1.458 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in g 1.458 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.458 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in g 1.458 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.458 * [taylor]: Taking taylor expansion of 3.0 in g 1.460 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in g 1.460 * [taylor]: Taking taylor expansion of 0.6666666666666666 in g 1.460 * [taylor]: Taking taylor expansion of PI in g 1.466 * [taylor]: Taking taylor expansion of (cos (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI))) in h 1.466 * [taylor]: Taking taylor expansion of (+ (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) (* 0.6666666666666666 PI)) in h 1.466 * [taylor]: Taking taylor expansion of (/ (acos (* -1 (/ h g))) (pow (sqrt 3.0) 2)) in h 1.466 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.466 * [taylor]: Taking taylor expansion of (pow (sqrt 3.0) 2) in h 1.466 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.466 * [taylor]: Taking taylor expansion of 3.0 in h 1.468 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 PI) in h 1.468 * [taylor]: Taking taylor expansion of 0.6666666666666666 in h 1.468 * [taylor]: Taking taylor expansion of PI in h 1.481 * [taylor]: Taking taylor expansion of 0 in h 1.501 * [taylor]: Taking taylor expansion of 0 in h 1.517 * [taylor]: Taking taylor expansion of 0 in h 1.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.519 * [approximate]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) in (g h) around 0 1.519 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) in h 1.519 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ g h)))) in h 1.519 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.519 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.519 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.519 * [taylor]: Taking taylor expansion of 3.0 in h 1.520 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) in g 1.520 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ g h)))) in g 1.520 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.521 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.521 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.521 * [taylor]: Taking taylor expansion of 3.0 in g 1.522 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) in g 1.522 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ g h)))) in g 1.522 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in g 1.522 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.522 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.522 * [taylor]: Taking taylor expansion of 3.0 in g 1.524 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) in h 1.524 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ g h)))) in h 1.524 * [taylor]: Taking taylor expansion of (acos (* -1 (/ g h))) in h 1.524 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.524 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.524 * [taylor]: Taking taylor expansion of 3.0 in h 1.528 * [taylor]: Taking taylor expansion of 0 in h 1.531 * [taylor]: Taking taylor expansion of 0 in h 1.536 * [taylor]: Taking taylor expansion of 0 in h 1.537 * [approximate]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in (g h) around 0 1.537 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in h 1.537 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in h 1.537 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.537 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.537 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.537 * [taylor]: Taking taylor expansion of 3.0 in h 1.538 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in g 1.538 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in g 1.538 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.538 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.538 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.538 * [taylor]: Taking taylor expansion of 3.0 in g 1.539 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in g 1.539 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in g 1.539 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.540 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.540 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.540 * [taylor]: Taking taylor expansion of 3.0 in g 1.541 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in h 1.541 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in h 1.541 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.542 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.542 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.542 * [taylor]: Taking taylor expansion of 3.0 in h 1.545 * [taylor]: Taking taylor expansion of 0 in h 1.548 * [taylor]: Taking taylor expansion of 0 in h 1.553 * [taylor]: Taking taylor expansion of 0 in h 1.554 * [approximate]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in (g h) around 0 1.554 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in h 1.554 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in h 1.554 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.554 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.554 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.554 * [taylor]: Taking taylor expansion of 3.0 in h 1.555 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in g 1.555 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in g 1.555 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.556 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.556 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.556 * [taylor]: Taking taylor expansion of 3.0 in g 1.557 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in g 1.557 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in g 1.557 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in g 1.557 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in g 1.557 * [taylor]: Taking taylor expansion of (sqrt 3.0) in g 1.557 * [taylor]: Taking taylor expansion of 3.0 in g 1.559 * [taylor]: Taking taylor expansion of (* (sqrt (acos (* -1 (/ h g)))) (/ 1 (sqrt 3.0))) in h 1.559 * [taylor]: Taking taylor expansion of (sqrt (acos (* -1 (/ h g)))) in h 1.559 * [taylor]: Taking taylor expansion of (acos (* -1 (/ h g))) in h 1.559 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 3.0)) in h 1.559 * [taylor]: Taking taylor expansion of (sqrt 3.0) in h 1.559 * [taylor]: Taking taylor expansion of 3.0 in h 1.562 * [taylor]: Taking taylor expansion of 0 in h 1.566 * [taylor]: Taking taylor expansion of 0 in h 1.570 * [taylor]: Taking taylor expansion of 0 in h 1.571 * * * [progress]: simplifying candidates 1.580 * [simplify]: Simplifying using # : (- (+ (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) (* (exp (/ (* 2.0 PI) 3.0)) (exp (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (log (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (exp (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (cbrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (cbrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (* (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))) (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (sqrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (sqrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (+ (* (* 2.0 PI) (* (sqrt 3.0) (sqrt 3.0))) (* 3.0 (* (sqrt (acos (/ (- g) h))) (sqrt (acos (/ (- g) h)))))) (* 3.0 (* (sqrt 3.0) (sqrt 3.0))) (+ (* (* 2.0 PI) (sqrt 3.0)) (* 3.0 (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (sqrt (acos (/ (- g) h)))))) (* 3.0 (sqrt 3.0)) (+ (* (* 2.0 PI) (sqrt 3.0)) (* 3.0 (* (sqrt (acos (/ (- g) h))) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* 3.0 (sqrt 3.0)) (+ (pow (/ (* 2.0 PI) 3.0) 3) (pow (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))) 3)) (+ (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (- (* (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))) (* (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (- (* (/ (* 2.0 PI) 3.0) (/ (* 2.0 PI) 3.0)) (* (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (- (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (log (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (exp (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (* (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))))) (cbrt (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (* (* (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)))))) (sqrt (cos (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt 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h))) (cbrt (acos (/ (- g) h))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (cbrt 3.0))) (/ (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (sqrt 1)) (/ (sqrt (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (acos (/ (- g) h))) (cbrt (acos (/ (- g) h))))) 1) (/ (sqrt (cbrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (sqrt (sqrt (acos (/ (- g) h)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt 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(/ (- g) h)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt 1)) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (acos (/ (- g) h)))) 1) (/ (sqrt (sqrt (acos (/ (- g) h)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (acos (/ (- g) h))) (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (acos (/ (- g) h))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (sqrt (sqrt 3.0))) (/ 1 1) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (acos (/ (- g) h)))) (/ (sqrt (acos (/ (- g) h))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (acos (/ (- g) h))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (acos (/ (- g) h))) (sqrt (sqrt 3.0))) (/ (sqrt (acos (/ (- g) h))) (sqrt 1)) (/ (sqrt (acos (/ (- g) h))) (sqrt (sqrt 3.0))) (/ (sqrt (acos (/ (- g) h))) 1) (/ (sqrt 3.0) (cbrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (cbrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (acos (/ (- g) h)))) (/ (sqrt 3.0) (sqrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (acos (/ (- g) h)))) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2))) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) (* (sqrt (acos (* -1 (/ g h)))) (/ 1 (sqrt 3.0))) 1.581 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log PI)) (log h1)) (- (log (* h0 PI)) (log h1)) (log (/ (* h0 PI) h1)) (exp (/ (* h0 PI) h1)) (/ (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (/ (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 PI) h1)) (cbrt (/ (* h0 PI) h1))) (cbrt (/ (* h0 PI) h1)) (* (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (- (* h0 PI)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ PI (cbrt h1)) (/ h0 (sqrt h1)) (/ PI (sqrt h1)) (/ h0 1) (/ PI h1) (/ 1 h1) (/ h1 (* h0 PI)) (/ (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (* h0 PI) (sqrt h1)) (/ (* h0 PI) 1) (/ h1 PI) (* (exp (/ (* h0 PI) h1)) (exp (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (log (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (exp (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (cbrt (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (cbrt (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)))))) (cbrt (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (* (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)))) (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (sqrt (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (sqrt (+ (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (+ (* (* h0 PI) (* (sqrt h1) (sqrt h1))) (* h1 (* (sqrt (acos (/ (- h2) h3))) (sqrt (acos (/ (- h2) h3)))))) (* h1 (* (sqrt h1) (sqrt h1))) (+ (* (* h0 PI) (sqrt h1)) (* h1 (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (sqrt (acos (/ (- h2) h3)))))) (* h1 (sqrt h1)) (+ (* (* h0 PI) (sqrt h1)) (* h1 (* (sqrt (acos (/ (- h2) h3))) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* h1 (sqrt h1)) (+ (pow (/ (* h0 PI) h1) 3) (pow (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))) 3)) (+ (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (- (* (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)))) (* (/ (* h0 PI) h1) (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- 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) 1.629 * [simplify]: Simplified to: (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) (exp (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (log (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (exp (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) (* (cbrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (cbrt (+ (/ (* 2.0 PI) 3.0) (* (/ (sqrt (acos (/ (- g) 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(sqrt (acos (/ (- g) h))) (/ (sqrt 3.0) (cbrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (cbrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (acos (/ (- g) h)))) (/ (sqrt 3.0) (sqrt (sqrt (acos (/ (- g) h))))) (/ (sqrt 3.0) (sqrt (acos (/ (- g) h)))) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (+ (* 0.6666666666666666 PI) (/ (acos (/ (- g) h)) 3.0)) (+ (* 0.6666666666666666 PI) (/ (acos (/ (- g) h)) 3.0)) (+ (* 0.6666666666666666 PI) (/ (acos (/ (- g) h)) 3.0)) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (cos (+ (* 0.6666666666666666 PI) (/ (acos (* -1 (/ g h))) (pow (sqrt 3.0) 2)))) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) 1.629 * * * [progress]: adding candidates to table 1.907 * * [progress]: iteration 4 / 4 1.907 * * * [progress]: picking best candidate 1.914 * * * * [pick]: Picked # 1.914 * * * [progress]: localizing error 1.938 * * * [progress]: generating rewritten candidates 1.938 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.946 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1.955 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.969 * * * [progress]: generating series expansions 1.969 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.969 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.969 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.969 * * * [progress]: simplifying candidates 1.970 * [simplify]: Simplifying using # : (log (cos (/ (* 2.0 PI) 3.0))) (exp (cos (/ (* 2.0 PI) 3.0))) (* (cbrt (cos (/ (* 2.0 PI) 3.0))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cbrt (cos (/ (* 2.0 PI) 3.0))) (* (* (cos (/ (* 2.0 PI) 3.0)) (cos (/ (* 2.0 PI) 3.0))) (cos (/ (* 2.0 PI) 3.0))) (sqrt (cos (/ (* 2.0 PI) 3.0))) (sqrt (cos (/ (* 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) (- (+ (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) (log (sin (/ (* 2.0 PI) 3.0))) (exp (sin (/ (* 2.0 PI) 3.0))) (* (cbrt (sin (/ (* 2.0 PI) 3.0))) (cbrt (sin (/ (* 2.0 PI) 3.0)))) (cbrt (sin (/ (* 2.0 PI) 3.0))) (* (* (sin (/ (* 2.0 PI) 3.0)) (sin (/ (* 2.0 PI) 3.0))) (sin (/ (* 2.0 PI) 3.0))) (sqrt (sin (/ (* 2.0 PI) 3.0))) (sqrt (sin (/ (* 2.0 PI) 3.0))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) 1.971 * [simplify]: Sending expressions to egg_math: (log (cos (/ (* h0 PI) h1))) (exp (cos (/ (* h0 PI) h1))) (* (cbrt (cos (/ (* h0 PI) h1))) (cbrt (cos (/ (* h0 PI) h1)))) (cbrt (cos (/ (* h0 PI) h1))) (* (* (cos (/ (* h0 PI) h1)) (cos (/ (* h0 PI) h1))) (cos (/ (* h0 PI) h1))) (sqrt (cos (/ (* h0 PI) h1))) (sqrt (cos (/ (* h0 PI) h1))) (- (+ (log h0) (log PI)) (log h1)) (- (log (* h0 PI)) (log h1)) (log (/ (* h0 PI) h1)) (exp (/ (* h0 PI) h1)) (/ (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (/ (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 PI) h1)) (cbrt (/ (* h0 PI) h1))) (cbrt (/ (* h0 PI) h1)) (* (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (- (* h0 PI)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ PI (cbrt h1)) (/ h0 (sqrt h1)) (/ PI (sqrt h1)) (/ h0 1) (/ PI h1) (/ 1 h1) (/ h1 (* h0 PI)) (/ (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (* h0 PI) (sqrt h1)) (/ (* h0 PI) 1) (/ h1 PI) (- (+ (log h0) (log PI)) (log h1)) (- (log (* h0 PI)) (log h1)) (log (/ (* h0 PI) h1)) (exp (/ (* h0 PI) h1)) (/ (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (/ (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (/ (* h0 PI) h1)) (cbrt (/ (* h0 PI) h1))) (cbrt (/ (* h0 PI) h1)) (* (* (/ (* h0 PI) h1) (/ (* h0 PI) h1)) (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (sqrt (/ (* h0 PI) h1)) (- (* h0 PI)) (- h1) (/ h0 (* (cbrt h1) (cbrt h1))) (/ PI (cbrt h1)) (/ h0 (sqrt h1)) (/ PI (sqrt h1)) (/ h0 1) (/ PI h1) (/ 1 h1) (/ h1 (* h0 PI)) (/ (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (* h0 PI) (sqrt h1)) (/ (* h0 PI) 1) (/ h1 PI) (log (sin (/ (* h0 PI) h1))) (exp (sin (/ (* h0 PI) h1))) (* (cbrt (sin (/ (* h0 PI) h1))) (cbrt (sin (/ (* h0 PI) h1)))) (cbrt (sin (/ (* h0 PI) h1))) (* (* (sin (/ (* h0 PI) h1)) (sin (/ (* h0 PI) h1))) (sin (/ (* h0 PI) h1))) (sqrt (sin (/ (* h0 PI) h1))) (sqrt (sin (/ (* h0 PI) h1))) (* (cos (/ (* h0 PI) h1)) (cos (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (sin (/ (* h0 PI) h1)) (sin (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (cos (/ (* h0 PI) h1)) (cos (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (sin (/ (* h0 PI) h1)) (sin (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (cos (/ (* h0 PI) h1)) (cos (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (sin (/ (* h0 PI) h1)) (sin (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (cos (/ (* h0 PI) h1)) (cos (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (sin (/ (* h0 PI) h1)) (sin (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) 1.974 * * [simplify]: iteration 0 : 149 enodes (cost 382 ) 1.977 * * [simplify]: iteration 1 : 560 enodes (cost 338 ) 1.987 * * [simplify]: iteration 2 : 2527 enodes (cost 338 ) 2.029 * * [simplify]: iteration 3 : 5001 enodes (cost 338 ) 2.031 * [simplify]: Simplified to: (log (cos (/ (* 2.0 PI) 3.0))) (exp (cos (/ (* 2.0 PI) 3.0))) (* (cbrt (cos (/ (* 2.0 PI) 3.0))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cbrt (cos (/ (* 2.0 PI) 3.0))) (pow (cos (/ (* 2.0 PI) 3.0)) 3) (sqrt (cos (/ (* 2.0 PI) 3.0))) (sqrt (cos (/ (* 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) (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) (log (sin (/ (* 2.0 PI) 3.0))) (exp (sin (/ (* 2.0 PI) 3.0))) (* (cbrt (sin (/ (* 2.0 PI) 3.0))) (cbrt (sin (/ (* 2.0 PI) 3.0)))) (cbrt (sin (/ (* 2.0 PI) 3.0))) (pow (sin (/ (* 2.0 PI) 3.0)) 3) (sqrt (sin (/ (* 2.0 PI) 3.0))) (sqrt (sin (/ (* 2.0 PI) 3.0))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (cos (/ (* 2.0 PI) 3.0)) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) 2.032 * * * [progress]: adding candidates to table 2.266 * [progress]: [Phase 3 of 3] Extracting. 2.271 * [simplify]: Simplifying using # : (* 2.0 (- (* (* (* (cbrt (cos (/ (* 2.0 PI) 3.0))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))))) 2.271 * [simplify]: Sending expressions to egg_math: (* h0 (- (* (* (* (cbrt (cos (/ (* h0 PI) h1))) (cbrt (cos (/ (* h0 PI) h1)))) (cbrt (cos (/ (* h0 PI) h1)))) (cos (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))) (* (sin (/ (* h0 PI) h1)) (sin (* (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1)) (/ (sqrt (acos (/ (- h2) h3))) (sqrt h1))))))) 2.272 * * [simplify]: iteration 0 : 32 enodes (cost 49 ) 2.272 * * [simplify]: iteration 1 : 32 enodes (cost 49 ) 2.273 * [simplify]: Simplified to: (* 2.0 (- (* (* (* (cbrt (cos (/ (* 2.0 PI) 3.0))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cbrt (cos (/ (* 2.0 PI) 3.0)))) (cos (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))) (* (sin (/ (* 2.0 PI) 3.0)) (sin (* (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0)) (/ (sqrt (acos (/ (- g) h))) (sqrt 3.0))))))) 3.735 * [regime-testing]: End program error score: 0.027246451120422517