12.669 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* x (+ (- y z) 1.0)) z) 0.022 * [simplify]: Sending expressions to egg_math: (/ (* h0 (+ (- h1 h2) h3)) h2) 0.026 * * [simplify]: iteration 0 : 22 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 121 enodes (cost 4 ) 0.033 * * [simplify]: iteration 3 : 258 enodes (cost 4 ) 0.036 * * [simplify]: iteration 4 : 434 enodes (cost 4 ) 0.041 * * [simplify]: iteration 5 : 687 enodes (cost 4 ) 0.050 * * [simplify]: iteration 6 : 1957 enodes (cost 4 ) 0.097 * * [simplify]: iteration 7 : 5002 enodes (cost 4 ) 0.097 * [simplify]: Simplified to: (/ (* x (+ (- y z) 1.0)) z) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.099 * * * * [pick]: Picked # 0.099 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.143 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in (x y z) around 0 0.223 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in z 0.223 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in z 0.223 * [taylor]: Taking taylor expansion of x in z 0.223 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.223 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.223 * [taylor]: Taking taylor expansion of y in z 0.223 * [taylor]: Taking taylor expansion of 1.0 in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.223 * [taylor]: Taking taylor expansion of z in z 0.224 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in y 0.224 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.224 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of 1.0 in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 0.224 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.224 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [taylor]: Taking taylor expansion of z in x 0.224 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 0.225 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.225 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of z in x 0.226 * [taylor]: Taking taylor expansion of (/ (- (+ y 1.0) z) z) in y 0.226 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.226 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 1.0 in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.226 * [taylor]: Taking taylor expansion of z in y 0.227 * [taylor]: Taking taylor expansion of (/ (- 1.0 z) z) in z 0.227 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.227 * [taylor]: Taking taylor expansion of 1.0 in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.227 * [taylor]: Taking taylor expansion of z in z 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in z 0.229 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.229 * [taylor]: Taking taylor expansion of z in z 0.231 * [approximate]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in (x y z) around 0 0.231 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in z 0.231 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 0.231 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.231 * [taylor]: Taking taylor expansion of y in z 0.231 * [taylor]: Taking taylor expansion of 1.0 in z 0.231 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.231 * [taylor]: Taking taylor expansion of z in z 0.231 * [taylor]: Taking taylor expansion of z in z 0.231 * [taylor]: Taking taylor expansion of x in z 0.233 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in y 0.233 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 0.233 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of 1.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.233 * [taylor]: Taking taylor expansion of z in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 0.234 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 0.234 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.234 * [taylor]: Taking taylor expansion of z in x 0.234 * [taylor]: Taking taylor expansion of z in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 0.235 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 0.235 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.235 * [taylor]: Taking taylor expansion of z in x 0.235 * [taylor]: Taking taylor expansion of z in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 0.235 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 1.0 in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.235 * [taylor]: Taking taylor expansion of z in y 0.235 * [taylor]: Taking taylor expansion of z in y 0.236 * [taylor]: Taking taylor expansion of z in z 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of (- (* 1.0 z) 1) in z 0.238 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 0.238 * [taylor]: Taking taylor expansion of 1.0 in z 0.238 * [taylor]: Taking taylor expansion of z in z 0.238 * [taylor]: Taking taylor expansion of 1 in z 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in z 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.244 * [approximate]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in (x y z) around 0 0.244 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in z 0.244 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in z 0.244 * [taylor]: Taking taylor expansion of z in z 0.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.244 * [taylor]: Taking taylor expansion of z in z 0.244 * [taylor]: Taking taylor expansion of 1.0 in z 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.244 * [taylor]: Taking taylor expansion of y in z 0.244 * [taylor]: Taking taylor expansion of x in z 0.246 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in y 0.246 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in y 0.246 * [taylor]: Taking taylor expansion of z in y 0.246 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.246 * [taylor]: Taking taylor expansion of z in y 0.246 * [taylor]: Taking taylor expansion of 1.0 in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in x 0.247 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in x 0.247 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in y 0.248 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.248 * [taylor]: Taking taylor expansion of z in y 0.248 * [taylor]: Taking taylor expansion of 1.0 in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of z in y 0.249 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.249 * [taylor]: Taking taylor expansion of -1 in z 0.249 * [taylor]: Taking taylor expansion of z in z 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 z) 1) in z 0.251 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 0.251 * [taylor]: Taking taylor expansion of 1.0 in z 0.251 * [taylor]: Taking taylor expansion of z in z 0.251 * [taylor]: Taking taylor expansion of 1 in z 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in z 0.255 * [taylor]: Taking taylor expansion of 0 in z 0.256 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.257 * [approximate]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in (x y z) around 0 0.257 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in z 0.257 * [taylor]: Taking taylor expansion of x in z 0.257 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.257 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.257 * [taylor]: Taking taylor expansion of y in z 0.257 * [taylor]: Taking taylor expansion of 1.0 in z 0.257 * [taylor]: Taking taylor expansion of z in z 0.257 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.257 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 1.0 in y 0.257 * [taylor]: Taking taylor expansion of z in y 0.257 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.257 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of z in x 0.257 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.257 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of z in x 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.258 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 1.0 in y 0.258 * [taylor]: Taking taylor expansion of z in y 0.258 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 0.258 * [taylor]: Taking taylor expansion of 1.0 in z 0.258 * [taylor]: Taking taylor expansion of z in z 0.259 * [taylor]: Taking taylor expansion of 0 in z 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [taylor]: Taking taylor expansion of 1 in z 0.261 * [taylor]: Taking taylor expansion of 0 in z 0.261 * [approximate]: Taking taylor expansion of (/ (- (+ (/ 1 y) 1.0) (/ 1 z)) x) in (x y z) around 0 0.261 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 y) 1.0) (/ 1 z)) x) in z 0.261 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.261 * [taylor]: Taking taylor expansion of y in z 0.261 * [taylor]: Taking taylor expansion of 1.0 in z 0.261 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.262 * [taylor]: Taking taylor expansion of z in z 0.262 * [taylor]: Taking taylor expansion of x in z 0.262 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 y) 1.0) (/ 1 z)) x) in y 0.262 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.263 * [taylor]: Taking taylor expansion of z in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 y) 1.0) (/ 1 z)) x) in x 0.263 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of 1.0 in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.263 * [taylor]: Taking taylor expansion of z in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 y) 1.0) (/ 1 z)) x) in x 0.264 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.264 * [taylor]: Taking taylor expansion of z in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.264 * [taylor]: Taking taylor expansion of z in y 0.265 * [taylor]: Taking taylor expansion of 1 in z 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.267 * [taylor]: Taking taylor expansion of 1.0 in z 0.267 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.267 * [taylor]: Taking taylor expansion of z in z 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in z 0.270 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [approximate]: Taking taylor expansion of (* -1 (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x)) in (x y z) around 0 0.271 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x)) in z 0.271 * [taylor]: Taking taylor expansion of -1 in z 0.271 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x) in z 0.271 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.271 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.271 * [taylor]: Taking taylor expansion of z in z 0.272 * [taylor]: Taking taylor expansion of 1.0 in z 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.272 * [taylor]: Taking taylor expansion of y in z 0.272 * [taylor]: Taking taylor expansion of x in z 0.272 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x)) in y 0.272 * [taylor]: Taking taylor expansion of -1 in y 0.272 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x) in y 0.272 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.272 * [taylor]: Taking taylor expansion of z in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x)) in x 0.273 * [taylor]: Taking taylor expansion of -1 in x 0.273 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x) in x 0.273 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.273 * [taylor]: Taking taylor expansion of z in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x)) in x 0.274 * [taylor]: Taking taylor expansion of -1 in x 0.274 * [taylor]: Taking taylor expansion of (/ (- (+ (/ 1 z) 1.0) (/ 1 y)) x) in x 0.274 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.274 * [taylor]: Taking taylor expansion of z in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* -1 (- (+ (/ 1 z) 1.0) (/ 1 y))) in y 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.274 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.274 * [taylor]: Taking taylor expansion of z in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1 in z 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0)) in z 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.278 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.278 * [taylor]: Taking taylor expansion of z in z 0.278 * [taylor]: Taking taylor expansion of 1.0 in z 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in z 0.282 * [taylor]: Taking taylor expansion of 0 in z 0.283 * * * [progress]: simplifying candidates 0.284 * [simplify]: Simplifying using # : (expm1 (/ (* x (+ (- y z) 1.0)) z)) (log1p (/ (* x (+ (- y z) 1.0)) z)) (- (+ (log x) (log (+ (- y z) 1.0))) (log z)) (- (log (* x (+ (- y z) 1.0))) (log z)) (log (/ (* x (+ (- y z) 1.0)) z)) (exp (/ (* x (+ (- y z) 1.0)) z)) (/ (* (* (* x x) x) (* (* (+ (- y z) 1.0) (+ (- y z) 1.0)) (+ (- y z) 1.0))) (* (* z z) z)) (/ (* (* (* x (+ (- y z) 1.0)) (* x (+ (- y z) 1.0))) (* x (+ (- y z) 1.0))) (* (* z z) z)) (* (cbrt (/ (* x (+ (- y z) 1.0)) z)) (cbrt (/ (* x (+ (- y z) 1.0)) z))) (cbrt (/ (* x (+ (- y z) 1.0)) z)) (* (* (/ (* x (+ (- y z) 1.0)) z) (/ (* x (+ (- y z) 1.0)) z)) (/ (* x (+ (- y z) 1.0)) z)) (sqrt (/ (* x (+ (- y z) 1.0)) z)) (sqrt (/ (* x (+ (- y z) 1.0)) z)) (- (* x (+ (- y z) 1.0))) (- z) (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)) (/ x (sqrt z)) (/ (+ (- y z) 1.0) (sqrt z)) (/ x 1) (/ (+ (- y z) 1.0) z) (/ 1 z) (/ z (* x (+ (- y z) 1.0))) (/ (* x (+ (- y z) 1.0)) (* (cbrt z) (cbrt z))) (/ (* x (+ (- y z) 1.0)) (sqrt z)) (/ (* x (+ (- y z) 1.0)) 1) (/ z (+ (- y z) 1.0)) (* z (+ (* (- y z) (- y z)) (- (* 1.0 1.0) (* (- y z) 1.0)))) (* z (- (- y z) 1.0)) (expm1 (* x (+ (- y z) 1.0))) (log1p (* x (+ (- y z) 1.0))) (* x (+ (- y z) 1.0)) (+ (log x) (log (+ (- y z) 1.0))) (log (* x (+ (- y z) 1.0))) (exp (* x (+ (- y z) 1.0))) (* (* (* x x) x) (* (* (+ (- y z) 1.0) (+ (- y z) 1.0)) (+ (- y z) 1.0))) (* (cbrt (* x (+ (- y z) 1.0))) (cbrt (* x (+ (- y z) 1.0)))) (cbrt (* x (+ (- y z) 1.0))) (* (* (* x (+ (- y z) 1.0)) (* x (+ (- y z) 1.0))) (* x (+ (- y z) 1.0))) (sqrt (* x (+ (- y z) 1.0))) (sqrt (* x (+ (- y z) 1.0))) (* (sqrt x) (sqrt (+ (- y z) 1.0))) (* (sqrt x) (sqrt (+ (- y z) 1.0))) (* x (- y z)) (* x 1.0) (* (- y z) x) (* 1.0 x) (* x (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (* x (sqrt (+ (- y z) 1.0))) (* x 1) (* x 1) (* x 1) (* (cbrt x) (+ (- y z) 1.0)) (* (sqrt x) (+ (- y z) 1.0)) (* x (+ (- y z) 1.0)) (* x (+ (pow (- y z) 3) (pow 1.0 3))) (* x (- (* (- y z) (- y z)) (* 1.0 1.0))) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (* 1.0 x) (* x y)) (* x z)) (- (+ (* 1.0 x) (* x y)) (* x z)) (- (+ (* 1.0 x) (* x y)) (* x z)) 0.284 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h0 (+ (- h1 h2) h3)) h2)) (log1p (/ (* h0 (+ (- h1 h2) h3)) h2)) (- (+ (log h0) (log (+ (- h1 h2) h3))) (log h2)) (- (log (* h0 (+ (- h1 h2) h3))) (log h2)) (log (/ (* h0 (+ (- h1 h2) h3)) h2)) (exp (/ (* h0 (+ (- h1 h2) h3)) h2)) (/ (* (* (* h0 h0) h0) (* (* (+ (- h1 h2) h3) (+ (- h1 h2) h3)) (+ (- h1 h2) h3))) (* (* h2 h2) h2)) (/ (* (* (* h0 (+ (- h1 h2) h3)) (* h0 (+ (- h1 h2) h3))) (* h0 (+ (- h1 h2) h3))) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 (+ (- h1 h2) h3)) h2)) (cbrt (/ (* h0 (+ (- h1 h2) h3)) h2))) (cbrt (/ (* h0 (+ (- h1 h2) h3)) h2)) (* (* (/ (* h0 (+ (- h1 h2) h3)) h2) (/ (* h0 (+ (- h1 h2) h3)) h2)) (/ (* h0 (+ (- h1 h2) h3)) h2)) (sqrt (/ (* h0 (+ (- h1 h2) h3)) h2)) (sqrt (/ (* h0 (+ (- h1 h2) h3)) h2)) (- (* h0 (+ (- h1 h2) h3))) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ (+ (- h1 h2) h3) (cbrt h2)) (/ h0 (sqrt h2)) (/ (+ (- h1 h2) h3) (sqrt h2)) (/ h0 1) (/ (+ (- h1 h2) h3) h2) (/ 1 h2) (/ h2 (* h0 (+ (- h1 h2) h3))) (/ (* h0 (+ (- h1 h2) h3)) (* (cbrt h2) (cbrt h2))) (/ (* h0 (+ (- h1 h2) h3)) (sqrt h2)) (/ (* h0 (+ (- h1 h2) h3)) 1) (/ h2 (+ (- h1 h2) h3)) (* h2 (+ (* (- h1 h2) (- h1 h2)) (- (* h3 h3) (* (- h1 h2) h3)))) (* h2 (- (- h1 h2) h3)) (expm1 (* h0 (+ (- h1 h2) h3))) (log1p (* h0 (+ (- h1 h2) h3))) (* h0 (+ (- h1 h2) h3)) (+ (log h0) (log (+ (- h1 h2) h3))) (log (* h0 (+ (- h1 h2) h3))) (exp (* h0 (+ (- h1 h2) h3))) (* (* (* h0 h0) h0) (* (* (+ (- h1 h2) h3) (+ (- h1 h2) h3)) (+ (- h1 h2) h3))) (* (cbrt (* h0 (+ (- h1 h2) h3))) (cbrt (* h0 (+ (- h1 h2) h3)))) (cbrt (* h0 (+ (- h1 h2) h3))) (* (* (* h0 (+ (- h1 h2) h3)) (* h0 (+ (- h1 h2) h3))) (* h0 (+ (- h1 h2) h3))) (sqrt (* h0 (+ (- h1 h2) h3))) (sqrt (* h0 (+ (- h1 h2) h3))) (* (sqrt h0) (sqrt (+ (- h1 h2) h3))) (* (sqrt h0) (sqrt (+ (- h1 h2) h3))) (* h0 (- h1 h2)) (* h0 h3) (* (- h1 h2) h0) (* h3 h0) (* h0 (* (cbrt (+ (- h1 h2) h3)) (cbrt (+ (- h1 h2) h3)))) (* h0 (sqrt (+ (- h1 h2) h3))) (* h0 1) (* h0 1) (* h0 1) (* (cbrt h0) (+ (- h1 h2) h3)) (* (sqrt h0) (+ (- h1 h2) h3)) (* h0 (+ (- h1 h2) h3)) (* h0 (+ (pow (- h1 h2) 3) (pow h3 3))) (* h0 (- (* (- h1 h2) (- h1 h2)) (* h3 h3))) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) (- (+ (* h3 h0) (* h0 h1)) (* h0 h2)) (- (+ (* h3 h0) (* h0 h1)) (* h0 h2)) (- (+ (* h3 h0) (* h0 h1)) (* h0 h2)) 0.288 * * [simplify]: iteration 0 : 262 enodes (cost 303 ) 0.294 * * [simplify]: iteration 1 : 1268 enodes (cost 253 ) 0.318 * * [simplify]: iteration 2 : 5002 enodes (cost 253 ) 0.320 * [simplify]: Simplified to: (expm1 (/ (* x (+ (- y z) 1.0)) z)) (log1p (/ (* x (+ (- y z) 1.0)) z)) (log (/ (* x (+ (- y z) 1.0)) z)) (log (/ (* x (+ (- y z) 1.0)) z)) (log (/ (* x (+ (- y z) 1.0)) z)) (exp (/ (* x (+ (- y z) 1.0)) z)) (pow (/ (* x (+ (- y z) 1.0)) z) 3) (pow (/ (* x (+ (- y z) 1.0)) z) 3) (* (cbrt (/ (* x (+ (- y z) 1.0)) z)) (cbrt (/ (* x (+ (- y z) 1.0)) z))) (cbrt (/ (* x (+ (- y z) 1.0)) z)) (pow (/ (* x (+ (- y z) 1.0)) z) 3) (sqrt (/ (* x (+ (- y z) 1.0)) z)) (sqrt (/ (* x (+ (- y z) 1.0)) z)) (- (* x (+ (- y z) 1.0))) (- z) (/ x (* (cbrt z) (cbrt z))) (/ (+ (- y z) 1.0) (cbrt z)) (/ x (sqrt z)) (/ (+ (- y z) 1.0) (sqrt z)) x (/ (+ (- y z) 1.0) z) (/ 1 z) (/ z (* x (+ (- y z) 1.0))) (/ (* x (+ (- y z) 1.0)) (* (cbrt z) (cbrt z))) (/ (* x (+ (- y z) 1.0)) (sqrt z)) (* x (+ (- y z) 1.0)) (/ z (+ (- y z) 1.0)) (* (fma (- y z) (- y z) (- (* 1.0 1.0) (* (- y z) 1.0))) z) (* z (- (- y z) 1.0)) (expm1 (* x (+ (- y z) 1.0))) (log1p (* x (+ (- y z) 1.0))) (* x (+ (- y z) 1.0)) (log (* x (+ (- y z) 1.0))) (log (* x (+ (- y z) 1.0))) (exp (* x (+ (- y z) 1.0))) (pow (* x (+ (- y z) 1.0)) 3) (* (cbrt (* x (+ (- y z) 1.0))) (cbrt (* x (+ (- y z) 1.0)))) (cbrt (* x (+ (- y z) 1.0))) (pow (* x (+ (- y z) 1.0)) 3) (sqrt (* x (+ (- y z) 1.0))) (sqrt (* x (+ (- y z) 1.0))) (* (sqrt x) (sqrt (+ (- y z) 1.0))) (* (sqrt x) (sqrt (+ (- y z) 1.0))) (* x (- y z)) (* x 1.0) (* x (- y z)) (* x 1.0) (* x (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (* x (sqrt (+ (- y z) 1.0))) x x x (* (cbrt x) (+ (- y z) 1.0)) (* (sqrt x) (+ (- y z) 1.0)) (* x (+ (- y z) 1.0)) (* x (+ (pow (- y z) 3) (pow 1.0 3))) (* x (- (* (- y z) (- y z)) (* 1.0 1.0))) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (* x (+ (- y z) 1.0)) (* x (+ (- y z) 1.0)) (* x (+ (- y z) 1.0)) 0.320 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 2 / 4 0.413 * * * [progress]: picking best candidate 0.422 * * * * [pick]: Picked # 0.422 * * * [progress]: localizing error 0.635 * * * [progress]: generating rewritten candidates 0.635 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.678 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.725 * [approximate]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in (x z y) around 0 0.725 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in y 0.725 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in y 0.725 * [taylor]: Taking taylor expansion of x in y 0.725 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.725 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 1.0 in y 0.725 * [taylor]: Taking taylor expansion of z in y 0.725 * [taylor]: Taking taylor expansion of z in y 0.725 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in z 0.725 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in z 0.725 * [taylor]: Taking taylor expansion of x in z 0.726 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.726 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.726 * [taylor]: Taking taylor expansion of y in z 0.726 * [taylor]: Taking taylor expansion of 1.0 in z 0.726 * [taylor]: Taking taylor expansion of z in z 0.726 * [taylor]: Taking taylor expansion of z in z 0.726 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 0.726 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.726 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of 1.0 in x 0.726 * [taylor]: Taking taylor expansion of z in x 0.726 * [taylor]: Taking taylor expansion of z in x 0.727 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 0.727 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 0.727 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of 1.0 in x 0.727 * [taylor]: Taking taylor expansion of z in x 0.727 * [taylor]: Taking taylor expansion of z in x 0.728 * [taylor]: Taking taylor expansion of (/ (- (+ y 1.0) z) z) in z 0.728 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.728 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.728 * [taylor]: Taking taylor expansion of y in z 0.728 * [taylor]: Taking taylor expansion of 1.0 in z 0.728 * [taylor]: Taking taylor expansion of z in z 0.728 * [taylor]: Taking taylor expansion of z in z 0.729 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 1.0 in y 0.730 * [taylor]: Taking taylor expansion of 0 in z 0.731 * [taylor]: Taking taylor expansion of (- 1) in y 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.732 * [approximate]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in (x z y) around 0 0.732 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in y 0.732 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 0.732 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of 1.0 in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.732 * [taylor]: Taking taylor expansion of z in y 0.733 * [taylor]: Taking taylor expansion of z in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in z 0.733 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 0.733 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.733 * [taylor]: Taking taylor expansion of y in z 0.733 * [taylor]: Taking taylor expansion of 1.0 in z 0.733 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.733 * [taylor]: Taking taylor expansion of z in z 0.733 * [taylor]: Taking taylor expansion of z in z 0.733 * [taylor]: Taking taylor expansion of x in z 0.735 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 0.735 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 0.735 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 0.736 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 0.736 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.736 * [taylor]: Taking taylor expansion of 1.0 in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.736 * [taylor]: Taking taylor expansion of z in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 0.736 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.736 * [taylor]: Taking taylor expansion of y in z 0.737 * [taylor]: Taking taylor expansion of 1.0 in z 0.737 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.737 * [taylor]: Taking taylor expansion of z in z 0.737 * [taylor]: Taking taylor expansion of z in z 0.738 * [taylor]: Taking taylor expansion of (- 1) in y 0.738 * [taylor]: Taking taylor expansion of 1 in y 0.739 * [taylor]: Taking taylor expansion of 0 in z 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 1.0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in z 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0 in y 0.745 * [taylor]: Taking taylor expansion of 0 in y 0.746 * [approximate]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in (x z y) around 0 0.746 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in y 0.746 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in y 0.746 * [taylor]: Taking taylor expansion of z in y 0.746 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.747 * [taylor]: Taking taylor expansion of z in y 0.747 * [taylor]: Taking taylor expansion of 1.0 in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in z 0.747 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in z 0.747 * [taylor]: Taking taylor expansion of z in z 0.747 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.747 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.747 * [taylor]: Taking taylor expansion of z in z 0.748 * [taylor]: Taking taylor expansion of 1.0 in z 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.748 * [taylor]: Taking taylor expansion of y in z 0.748 * [taylor]: Taking taylor expansion of x in z 0.749 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in x 0.749 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in x 0.749 * [taylor]: Taking taylor expansion of z in x 0.749 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.749 * [taylor]: Taking taylor expansion of z in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) x) in x 0.750 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in x 0.750 * [taylor]: Taking taylor expansion of z in x 0.750 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.750 * [taylor]: Taking taylor expansion of z in x 0.750 * [taylor]: Taking taylor expansion of 1.0 in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in z 0.750 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.750 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.750 * [taylor]: Taking taylor expansion of z in z 0.751 * [taylor]: Taking taylor expansion of 1.0 in z 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.751 * [taylor]: Taking taylor expansion of y in z 0.751 * [taylor]: Taking taylor expansion of z in z 0.752 * [taylor]: Taking taylor expansion of 1 in y 0.753 * [taylor]: Taking taylor expansion of 0 in z 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of 1.0 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of 0 in z 0.757 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [taylor]: Taking taylor expansion of 0 in y 0.760 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.761 * [approximate]: Taking taylor expansion of (/ z (- (+ y 1.0) z)) in (z y) around 0 0.761 * [taylor]: Taking taylor expansion of (/ z (- (+ y 1.0) z)) in y 0.761 * [taylor]: Taking taylor expansion of z in y 0.761 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 0.761 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 1.0 in y 0.761 * [taylor]: Taking taylor expansion of z in y 0.761 * [taylor]: Taking taylor expansion of (/ z (- (+ y 1.0) z)) in z 0.761 * [taylor]: Taking taylor expansion of z in z 0.761 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.761 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.761 * [taylor]: Taking taylor expansion of y in z 0.761 * [taylor]: Taking taylor expansion of 1.0 in z 0.761 * [taylor]: Taking taylor expansion of z in z 0.762 * [taylor]: Taking taylor expansion of (/ z (- (+ y 1.0) z)) in z 0.762 * [taylor]: Taking taylor expansion of z in z 0.762 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 0.762 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 0.762 * [taylor]: Taking taylor expansion of y in z 0.762 * [taylor]: Taking taylor expansion of 1.0 in z 0.762 * [taylor]: Taking taylor expansion of z in z 0.762 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.762 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 1.0 in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ y 1.0) 2)) in y 0.763 * [taylor]: Taking taylor expansion of (pow (+ y 1.0) 2) in y 0.763 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [approximate]: Taking taylor expansion of (/ 1 (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z)) in (z y) around 0 0.766 * [taylor]: Taking taylor expansion of (/ 1 (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z)) in y 0.766 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 0.766 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.766 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.767 * [taylor]: Taking taylor expansion of z in y 0.767 * [taylor]: Taking taylor expansion of z in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z)) in z 0.767 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 0.767 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.767 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.767 * [taylor]: Taking taylor expansion of y in z 0.767 * [taylor]: Taking taylor expansion of 1.0 in z 0.767 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.767 * [taylor]: Taking taylor expansion of z in z 0.767 * [taylor]: Taking taylor expansion of z in z 0.769 * [taylor]: Taking taylor expansion of (/ 1 (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z)) in z 0.769 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 0.769 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 0.769 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.769 * [taylor]: Taking taylor expansion of y in z 0.769 * [taylor]: Taking taylor expansion of 1.0 in z 0.769 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.769 * [taylor]: Taking taylor expansion of z in z 0.770 * [taylor]: Taking taylor expansion of z in z 0.771 * [taylor]: Taking taylor expansion of -1 in y 0.773 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0)) in y 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.776 * [taylor]: Taking taylor expansion of 1.0 in y 0.781 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 y)) (+ (/ 1 (pow y 2)) 1.0))) in y 0.781 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (+ (/ 1 (pow y 2)) 1.0)) in y 0.781 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.781 * [taylor]: Taking taylor expansion of 2.0 in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of 1.0 in y 0.787 * [approximate]: Taking taylor expansion of (/ -1 (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z)) in (z y) around 0 0.787 * [taylor]: Taking taylor expansion of (/ -1 (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z)) in y 0.787 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in y 0.787 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.787 * [taylor]: Taking taylor expansion of z in y 0.787 * [taylor]: Taking taylor expansion of 1.0 in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of z in y 0.788 * [taylor]: Taking taylor expansion of (/ -1 (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z)) in z 0.788 * [taylor]: Taking taylor expansion of -1 in z 0.788 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in z 0.788 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.788 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.788 * [taylor]: Taking taylor expansion of z in z 0.788 * [taylor]: Taking taylor expansion of 1.0 in z 0.788 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.788 * [taylor]: Taking taylor expansion of y in z 0.788 * [taylor]: Taking taylor expansion of z in z 0.790 * [taylor]: Taking taylor expansion of (/ -1 (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z)) in z 0.790 * [taylor]: Taking taylor expansion of -1 in z 0.790 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in z 0.790 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.790 * [taylor]: Taking taylor expansion of z in z 0.790 * [taylor]: Taking taylor expansion of 1.0 in z 0.790 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.790 * [taylor]: Taking taylor expansion of y in z 0.790 * [taylor]: Taking taylor expansion of z in z 0.792 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.794 * [taylor]: Taking taylor expansion of 1.0 in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y)) (+ (/ 1 (pow y 2)) 1.0)) in y 0.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 2.0 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of 1.0 in y 0.803 * * * [progress]: simplifying candidates 0.806 * [simplify]: Simplifying using # : (expm1 (/ x (/ z (+ (- y z) 1.0)))) (log1p (/ x (/ z (+ (- y z) 1.0)))) (- (log x) (- (log z) (log (+ (- y z) 1.0)))) (- (log x) (log (/ z (+ (- y z) 1.0)))) (log (/ x (/ z (+ (- y z) 1.0)))) (exp (/ x (/ z (+ (- y z) 1.0)))) (/ (* (* x x) x) (/ (* (* z z) z) (* (* (+ (- y z) 1.0) (+ (- y z) 1.0)) (+ (- y z) 1.0)))) (/ (* (* x x) x) (* (* (/ z (+ (- y z) 1.0)) (/ z (+ (- y z) 1.0))) (/ z (+ (- y z) 1.0)))) (* (cbrt (/ x (/ z (+ (- y z) 1.0)))) (cbrt (/ x (/ z (+ (- y z) 1.0))))) (cbrt (/ x (/ z (+ (- y z) 1.0)))) (* (* (/ x (/ z (+ (- y z) 1.0))) (/ x (/ z (+ (- y z) 1.0)))) (/ x (/ z (+ (- y z) 1.0)))) (sqrt (/ x (/ z (+ (- y z) 1.0)))) (sqrt (/ x (/ z (+ (- y z) 1.0)))) (- x) (- (/ z (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ (cbrt x) (cbrt (/ z (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ z (+ (- y z) 1.0)))) (/ (cbrt x) (sqrt (/ z (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (cbrt x) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ (cbrt x) (/ (cbrt z) (sqrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (cbrt x) (/ (sqrt z) (cbrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (cbrt x) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) 1)) (/ (cbrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) 1)) (/ (cbrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt z) 1)) (/ (cbrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (cbrt x) (/ z (cbrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt (+ (- y z) 1.0)))) (/ (cbrt x) (/ z (sqrt (+ (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ z (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ z (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ z (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ z (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) (/ 1 (+ (- y z) 1.0))) (/ (* (cbrt x) (cbrt x)) (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ (cbrt x) (+ (* (- y z) (- y z)) (- (* 1.0 1.0) (* (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (cbrt x) (- (- y z) 1.0)) (/ (sqrt x) (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ (sqrt x) (cbrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (sqrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (sqrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (sqrt x) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (cbrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) 1)) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) 1)) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) 1)) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (sqrt x) (/ (sqrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (sqrt z) 1)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (sqrt z) 1)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (sqrt z) 1)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (sqrt x) (/ z (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ 1 (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ z (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (/ (sqrt x) z) (/ (sqrt x) (/ 1 (+ (- y z) 1.0))) (/ (sqrt x) (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ (sqrt x) (+ (* (- y z) (- y z)) (- (* 1.0 1.0) (* (- y z) 1.0)))) (/ (sqrt x) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (sqrt x) (- (- y z) 1.0)) (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))) (/ 1 (sqrt (/ z (+ (- y z) 1.0)))) (/ x (sqrt (/ z (+ (- y z) 1.0)))) (/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (cbrt z) (cbrt (+ (- y z) 1.0)))) (/ 1 (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ x (/ (cbrt z) (sqrt (+ (- y z) 1.0)))) (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ 1 (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (sqrt z) (cbrt (+ (- y z) 1.0)))) (/ 1 (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ x (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ 1 (/ (sqrt z) 1)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (/ 1 (/ (sqrt z) 1)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (/ 1 (/ (sqrt z) 1)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (/ 1 (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ z (cbrt (+ (- y z) 1.0)))) (/ 1 (/ 1 (sqrt (+ (- y z) 1.0)))) (/ x (/ z (sqrt (+ (- y z) 1.0)))) (/ 1 (/ 1 1)) (/ x (/ z (+ (- y z) 1.0))) (/ 1 (/ 1 1)) (/ x (/ z (+ (- y z) 1.0))) (/ 1 (/ 1 1)) (/ x (/ z (+ (- y z) 1.0))) (/ 1 1) (/ x (/ z (+ (- y z) 1.0))) (/ 1 z) (/ x (/ 1 (+ (- y z) 1.0))) (/ 1 (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ x (+ (* (- y z) (- y z)) (- (* 1.0 1.0) (* (- y z) 1.0)))) (/ 1 (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ x (- (- y z) 1.0)) (/ 1 (/ z (+ (- y z) 1.0))) (/ (/ z (+ (- y z) 1.0)) x) (/ x (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (sqrt (/ z (+ (- y z) 1.0)))) (/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ x (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (* (cbrt z) (cbrt z)) 1)) (/ x (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ x (/ (sqrt z) 1)) (/ x (/ (sqrt z) 1)) (/ x (/ (sqrt z) 1)) (/ x (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ 1 (sqrt (+ (- y z) 1.0)))) (/ x (/ 1 1)) (/ x (/ 1 1)) (/ x (/ 1 1)) (/ x 1) (/ x z) (/ x (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ x (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (/ z (+ (- y z) 1.0)) (cbrt x)) (/ (/ z (+ (- y z) 1.0)) (sqrt x)) (/ (/ z (+ (- y z) 1.0)) x) (/ x z) (expm1 (/ z (+ (- y z) 1.0))) (log1p (/ z (+ (- y z) 1.0))) (- (log z) (log (+ (- y z) 1.0))) (log (/ z (+ (- y z) 1.0))) (exp (/ z (+ (- y z) 1.0))) (/ (* (* z z) z) (* (* (+ (- y z) 1.0) (+ (- y z) 1.0)) (+ (- y z) 1.0))) (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))) (cbrt (/ z (+ (- y z) 1.0))) (* (* (/ z (+ (- y z) 1.0)) (/ z (+ (- y z) 1.0))) (/ z (+ (- y z) 1.0))) (sqrt (/ z (+ (- y z) 1.0))) (sqrt (/ z (+ (- y z) 1.0))) (- z) (- (+ (- y z) 1.0)) (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (cbrt z) (cbrt (+ (- y z) 1.0))) (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0))) (/ (cbrt z) (sqrt (+ (- y z) 1.0))) (/ (* (cbrt z) (cbrt z)) 1) (/ (cbrt z) (+ (- y z) 1.0)) (/ (* (cbrt z) (cbrt z)) 1) (/ (cbrt z) (+ (- y z) 1.0)) (/ (* (cbrt z) (cbrt z)) 1) (/ (cbrt z) (+ (- y z) 1.0)) (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (sqrt z) (cbrt (+ (- y z) 1.0))) (/ (sqrt z) (sqrt (+ (- y z) 1.0))) (/ (sqrt z) (sqrt (+ (- y z) 1.0))) (/ (sqrt z) 1) (/ (sqrt z) (+ (- y z) 1.0)) (/ (sqrt z) 1) (/ (sqrt z) (+ (- y z) 1.0)) (/ (sqrt z) 1) (/ (sqrt z) (+ (- y z) 1.0)) (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (cbrt (+ (- y z) 1.0))) (/ 1 (sqrt (+ (- y z) 1.0))) (/ z (sqrt (+ (- y z) 1.0))) (/ 1 1) (/ z (+ (- y z) 1.0)) (/ 1 1) (/ z (+ (- y z) 1.0)) (/ 1 1) (/ z (+ (- y z) 1.0)) (/ 1 (+ (- y z) 1.0)) (/ (+ (- y z) 1.0) z) (/ z (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (sqrt (+ (- y z) 1.0))) (/ z 1) (/ z 1) (/ z 1) (/ (+ (- y z) 1.0) (cbrt z)) (/ (+ (- y z) 1.0) (sqrt z)) (/ (+ (- y z) 1.0) z) (/ z (+ (pow (- y z) 3) (pow 1.0 3))) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0))) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (* 1.0 z) (* 1.0 (pow z 2))) (* 1.0 (* z y))) 0 0 0.807 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (/ h1 (+ (- 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(- y z) 3) (pow 1.0 3)))) (/ (cbrt x) (+ (* (- y z) (- y z)) (- (* 1.0 1.0) (* (- y z) 1.0)))) (/ (* (cbrt x) (cbrt x)) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (cbrt x) (- (- y z) 1.0)) (/ (sqrt x) (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ (sqrt x) (cbrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (sqrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (sqrt (/ z (+ (- y z) 1.0)))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (sqrt x) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (cbrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (* (cbrt z) (cbrt z))) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (* (cbrt z) (cbrt z))) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (* (cbrt z) (cbrt z))) (/ (sqrt x) (/ (cbrt z) (+ (- y z) 1.0))) (/ (sqrt x) (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ (sqrt x) (/ (sqrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ (sqrt x) (sqrt z)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (sqrt x) (sqrt z)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (/ (sqrt x) (sqrt z)) (/ (sqrt x) (/ (sqrt z) (+ (- y z) 1.0))) (* (sqrt x) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (sqrt x) (/ z (cbrt (+ (- y z) 1.0)))) (* (sqrt x) (sqrt (+ (- y z) 1.0))) (/ (sqrt x) (/ z (sqrt (+ (- y z) 1.0)))) (sqrt x) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (sqrt x) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (sqrt x) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (sqrt x) (/ (sqrt x) (/ z (+ (- y z) 1.0))) (/ (sqrt x) z) (* (sqrt x) (+ (- y z) 1.0)) (/ (sqrt x) (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ (sqrt x) (fma 1.0 (- 1.0 (- y z)) (* (- y z) (- y z)))) (/ (sqrt x) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (sqrt x) (- (- y z) 1.0)) (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))) (/ 1 (sqrt (/ z (+ (- y z) 1.0)))) (/ x (sqrt (/ z (+ (- y z) 1.0)))) (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt (+ (- y z) 1.0)) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (sqrt (+ (- y z) 1.0)))) (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ 1 (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (+ (- y z) 1.0))) (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (sqrt z)) (/ x (/ (sqrt z) (cbrt (+ (- y z) 1.0)))) (/ (sqrt (+ (- y z) 1.0)) (sqrt z)) (/ x (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ 1 (sqrt z)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (/ 1 (sqrt z)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (/ 1 (sqrt z)) (/ x (/ (sqrt z) (+ (- y z) 1.0))) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (/ x (/ z (cbrt (+ (- y z) 1.0)))) (sqrt (+ (- y z) 1.0)) (/ x (/ z (sqrt (+ (- y z) 1.0)))) 1 (/ x (/ z (+ (- y z) 1.0))) 1 (/ x (/ z (+ (- y z) 1.0))) 1 (/ x (/ z (+ (- y z) 1.0))) 1 (/ x (/ z (+ (- y z) 1.0))) (/ 1 z) (* x (+ (- y z) 1.0)) (/ 1 (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ x (fma 1.0 (- 1.0 (- y z)) (* (- y z) (- y z)))) (/ 1 (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ x (- (- y z) 1.0)) (/ 1 (/ z (+ (- y z) 1.0))) (/ (/ z (+ (- y z) 1.0)) x) (/ x (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (sqrt (/ z (+ (- y z) 1.0)))) (/ x (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0)))) (/ x (* (cbrt z) (cbrt z))) (/ x (* (cbrt z) (cbrt z))) (/ x (* (cbrt z) (cbrt z))) (/ x (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))))) (/ x (/ (sqrt z) (sqrt (+ (- y z) 1.0)))) (/ x (sqrt z)) (/ x (sqrt z)) (/ x (sqrt z)) (* x (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (* x (sqrt (+ (- y z) 1.0))) x x x x (/ x z) (/ x (/ z (+ (pow (- y z) 3) (pow 1.0 3)))) (/ x (/ z (- (* (- y z) (- y z)) (* 1.0 1.0)))) (/ (/ z (+ (- y z) 1.0)) (cbrt x)) (/ (/ z (+ (- y z) 1.0)) (sqrt x)) (/ (/ z (+ (- y z) 1.0)) x) (/ x z) (expm1 (/ z (+ (- y z) 1.0))) (log1p (/ z (+ (- y z) 1.0))) (log (/ z (+ (- y z) 1.0))) (log (/ z (+ (- y z) 1.0))) (exp (/ z (+ (- y z) 1.0))) (pow (/ z (+ (- y z) 1.0)) 3) (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0)))) (cbrt (/ z (+ (- y z) 1.0))) (pow (/ z (+ (- y z) 1.0)) 3) (sqrt (/ z (+ (- y z) 1.0))) (sqrt (/ z (+ (- y z) 1.0))) (- z) (- (+ (- y z) 1.0)) (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (cbrt z) (cbrt (+ (- y z) 1.0))) (/ (* (cbrt z) (cbrt z)) (sqrt (+ (- y z) 1.0))) (/ (cbrt z) (sqrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ (- y z) 1.0)) (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ (- y z) 1.0)) (* (cbrt z) (cbrt z)) (/ (cbrt z) (+ (- y z) 1.0)) (/ (sqrt z) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (sqrt z) (cbrt (+ (- y z) 1.0))) (/ (sqrt z) (sqrt (+ (- y z) 1.0))) (/ (sqrt z) (sqrt (+ (- y z) 1.0))) (sqrt z) (/ (sqrt z) (+ (- y z) 1.0)) (sqrt z) (/ (sqrt z) (+ (- y z) 1.0)) (sqrt z) (/ (sqrt z) (+ (- y z) 1.0)) (/ 1 (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (cbrt (+ (- y z) 1.0))) (/ 1 (sqrt (+ (- y z) 1.0))) (/ z (sqrt (+ (- y z) 1.0))) 1 (/ z (+ (- y z) 1.0)) 1 (/ z (+ (- y z) 1.0)) 1 (/ z (+ (- y z) 1.0)) (/ 1 (+ (- y z) 1.0)) (/ (+ (- y z) 1.0) z) (/ z (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ z (sqrt (+ (- y z) 1.0))) z z z (/ (+ (- y z) 1.0) (cbrt z)) (/ (+ (- y z) 1.0) (sqrt z)) (/ (+ (- y z) 1.0) z) (/ z (+ (pow (- y z) 3) (pow 1.0 3))) (/ z (- (* (- y z) (- y z)) (* 1.0 1.0))) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (- (fma 1.0 (/ x z) (/ (* x y) z)) x) (* 1.0 (- (+ z (pow z 2)) (* z y))) 0 0 0.864 * * * [progress]: adding candidates to table 1.118 * * [progress]: iteration 3 / 4 1.118 * * * [progress]: picking best candidate 1.125 * * * * [pick]: Picked # 1.125 * * * [progress]: localizing error 1.131 * * * [progress]: generating rewritten candidates 1.131 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.217 * * * [progress]: generating series expansions 1.217 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.217 * [approximate]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in (x y z) around 0 1.217 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in z 1.217 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in z 1.217 * [taylor]: Taking taylor expansion of x in z 1.217 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in z 1.217 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 1.217 * [taylor]: Taking taylor expansion of y in z 1.217 * [taylor]: Taking taylor expansion of 1.0 in z 1.217 * [taylor]: Taking taylor expansion of z in z 1.217 * [taylor]: Taking taylor expansion of z in z 1.217 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in y 1.218 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in y 1.218 * [taylor]: Taking taylor expansion of x in y 1.218 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 1.218 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of 1.0 in y 1.218 * [taylor]: Taking taylor expansion of z in y 1.218 * [taylor]: Taking taylor expansion of z in y 1.218 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 1.218 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 1.218 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.218 * [taylor]: Taking taylor expansion of y in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [taylor]: Taking taylor expansion of z in x 1.218 * [taylor]: Taking taylor expansion of z in x 1.219 * [taylor]: Taking taylor expansion of (/ (* x (- (+ y 1.0) z)) z) in x 1.219 * [taylor]: Taking taylor expansion of (* x (- (+ y 1.0) z)) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.219 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in x 1.219 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.219 * [taylor]: Taking taylor expansion of y in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of z in x 1.219 * [taylor]: Taking taylor expansion of z in x 1.221 * [taylor]: Taking taylor expansion of (/ (- (+ y 1.0) z) z) in y 1.221 * [taylor]: Taking taylor expansion of (- (+ y 1.0) z) in y 1.221 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of 1.0 in y 1.221 * [taylor]: Taking taylor expansion of z in y 1.221 * [taylor]: Taking taylor expansion of z in y 1.221 * [taylor]: Taking taylor expansion of (/ (- 1.0 z) z) in z 1.221 * [taylor]: Taking taylor expansion of (- 1.0 z) in z 1.221 * [taylor]: Taking taylor expansion of 1.0 in z 1.221 * [taylor]: Taking taylor expansion of z in z 1.221 * [taylor]: Taking taylor expansion of z in z 1.223 * [taylor]: Taking taylor expansion of 0 in y 1.223 * [taylor]: Taking taylor expansion of 0 in z 1.224 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.224 * [taylor]: Taking taylor expansion of z in z 1.225 * [approximate]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in (x y z) around 0 1.225 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in z 1.225 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in z 1.225 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in z 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.225 * [taylor]: Taking taylor expansion of y in z 1.225 * [taylor]: Taking taylor expansion of 1.0 in z 1.225 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.226 * [taylor]: Taking taylor expansion of z in z 1.226 * [taylor]: Taking taylor expansion of z in z 1.226 * [taylor]: Taking taylor expansion of x in z 1.227 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in y 1.228 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 1.228 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 1.0 in y 1.228 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.228 * [taylor]: Taking taylor expansion of z in y 1.228 * [taylor]: Taking taylor expansion of z in y 1.228 * [taylor]: Taking taylor expansion of x in y 1.228 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 1.228 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 1.228 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 1.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.229 * [taylor]: Taking taylor expansion of y in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.229 * [taylor]: Taking taylor expansion of z in x 1.229 * [taylor]: Taking taylor expansion of z in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) x) in x 1.229 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in x 1.229 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in x 1.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.229 * [taylor]: Taking taylor expansion of y in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.229 * [taylor]: Taking taylor expansion of z in x 1.229 * [taylor]: Taking taylor expansion of z in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 y) 1.0) (/ 1 z)) z) in y 1.230 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) 1.0) (/ 1 z)) in y 1.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of 1.0 in y 1.230 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.230 * [taylor]: Taking taylor expansion of z in y 1.230 * [taylor]: Taking taylor expansion of z in y 1.230 * [taylor]: Taking taylor expansion of z in z 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.233 * [taylor]: Taking taylor expansion of (- (* 1.0 z) 1) in z 1.233 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 1.233 * [taylor]: Taking taylor expansion of 1.0 in z 1.233 * [taylor]: Taking taylor expansion of z in z 1.233 * [taylor]: Taking taylor expansion of 1 in z 1.238 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of 0 in z 1.239 * [taylor]: Taking taylor expansion of 0 in z 1.241 * [approximate]: Taking taylor expansion of (/ (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) x) in (x y z) around 0 1.241 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) x) in z 1.241 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in z 1.241 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in z 1.241 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 1.241 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.241 * [taylor]: Taking taylor expansion of z in z 1.241 * [taylor]: Taking taylor expansion of 1.0 in z 1.241 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.241 * [taylor]: Taking taylor expansion of y in z 1.241 * [taylor]: Taking taylor expansion of z in z 1.241 * [taylor]: Taking taylor expansion of x in z 1.243 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) x) in y 1.243 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in y 1.243 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 1.243 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.243 * [taylor]: Taking taylor expansion of z in y 1.243 * [taylor]: Taking taylor expansion of 1.0 in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of z in y 1.243 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) x) in x 1.244 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in x 1.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.244 * [taylor]: Taking taylor expansion of z in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of z in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.244 * [taylor]: Taking taylor expansion of (/ (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) x) in x 1.244 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 z) 1.0) (/ 1 y)) z) in x 1.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in x 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 z) in x 1.244 * [taylor]: Taking taylor expansion of z in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.244 * [taylor]: Taking taylor expansion of y in x 1.244 * [taylor]: Taking taylor expansion of z in x 1.244 * [taylor]: Taking taylor expansion of x in x 1.245 * [taylor]: Taking taylor expansion of (* z (- (+ (/ 1 z) 1.0) (/ 1 y))) in y 1.245 * [taylor]: Taking taylor expansion of z in y 1.245 * [taylor]: Taking taylor expansion of (- (+ (/ 1 z) 1.0) (/ 1 y)) in y 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.245 * [taylor]: Taking taylor expansion of z in y 1.245 * [taylor]: Taking taylor expansion of 1.0 in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (* -1 z) in z 1.245 * [taylor]: Taking taylor expansion of -1 in z 1.246 * [taylor]: Taking taylor expansion of z in z 1.247 * [taylor]: Taking taylor expansion of 0 in y 1.248 * [taylor]: Taking taylor expansion of (+ (* 1.0 z) 1) in z 1.248 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 1.248 * [taylor]: Taking taylor expansion of 1.0 in z 1.248 * [taylor]: Taking taylor expansion of z in z 1.248 * [taylor]: Taking taylor expansion of 1 in z 1.251 * [taylor]: Taking taylor expansion of 0 in y 1.251 * [taylor]: Taking taylor expansion of 0 in z 1.252 * [taylor]: Taking taylor expansion of 0 in z 1.254 * * * [progress]: simplifying candidates 1.254 * [simplify]: Simplifying using # : (expm1 (* x (/ (+ (- y z) 1.0) z))) (log1p (* x (/ (+ (- y z) 1.0) z))) (* x (/ (+ (- y z) 1.0) z)) (+ (log x) (- (log (+ (- y z) 1.0)) (log z))) (+ (log x) (log (/ (+ (- y z) 1.0) z))) (log (* x (/ (+ (- y z) 1.0) z))) (exp (* x (/ (+ (- y z) 1.0) z))) (* (* (* x x) x) (/ (* (* (+ (- y z) 1.0) (+ (- y z) 1.0)) (+ (- y z) 1.0)) (* (* z z) z))) (* (* (* x x) x) (* (* (/ (+ (- y z) 1.0) z) (/ (+ (- y z) 1.0) z)) (/ (+ (- y z) 1.0) z))) (* (cbrt (* x (/ (+ (- y z) 1.0) z))) (cbrt (* x (/ (+ (- y z) 1.0) z)))) (cbrt (* x (/ (+ (- y z) 1.0) z))) (* (* (* x (/ (+ (- y z) 1.0) z)) (* x (/ (+ (- y z) 1.0) z))) (* x (/ (+ (- y z) 1.0) z))) (sqrt (* x (/ (+ (- y z) 1.0) z))) (sqrt (* x (/ (+ (- y z) 1.0) z))) (* (sqrt x) (sqrt (/ (+ (- y z) 1.0) z))) (* (sqrt x) (sqrt (/ (+ (- y z) 1.0) z))) (* (sqrt x) (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* (sqrt x) (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* x (* (cbrt (/ (+ (- y z) 1.0) z)) (cbrt (/ (+ (- y z) 1.0) z)))) (* x (sqrt (/ (+ (- y z) 1.0) z))) (* x (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z)))) (* x (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (sqrt z))) (* x (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) 1)) (* x (/ (sqrt (+ (- y z) 1.0)) (* (cbrt z) (cbrt z)))) (* x (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* x (/ (sqrt (+ (- y z) 1.0)) 1)) (* x (/ 1 (* (cbrt z) (cbrt z)))) (* x (/ 1 (sqrt z))) (* x (/ 1 1)) (* x (/ 1 (* (cbrt z) (cbrt z)))) (* x (/ 1 (sqrt z))) (* x (/ 1 1)) (* x (/ 1 (* (cbrt z) (cbrt z)))) (* x (/ 1 (sqrt z))) (* x (/ 1 1)) (* x 1) (* x (+ (- y z) 1.0)) (* (cbrt x) (/ (+ (- y z) 1.0) z)) (* (sqrt x) (/ (+ (- y z) 1.0) z)) (* x (/ (+ (- y z) 1.0) z)) (* x (+ (- y z) 1.0)) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) 1.255 * [simplify]: Sending expressions to egg_math: (expm1 (* h0 (/ (+ (- h1 h2) h3) h2))) (log1p (* h0 (/ (+ (- h1 h2) h3) h2))) (* h0 (/ (+ (- h1 h2) h3) h2)) (+ (log h0) (- (log (+ (- h1 h2) h3)) (log h2))) (+ (log h0) (log (/ (+ (- h1 h2) h3) h2))) (log (* h0 (/ (+ (- h1 h2) h3) h2))) (exp (* h0 (/ (+ (- h1 h2) h3) h2))) (* (* (* h0 h0) h0) (/ (* (* (+ (- h1 h2) h3) (+ (- h1 h2) h3)) (+ (- h1 h2) h3)) (* (* h2 h2) h2))) (* (* (* h0 h0) h0) (* (* (/ (+ (- h1 h2) h3) h2) (/ (+ (- h1 h2) h3) h2)) (/ (+ (- h1 h2) h3) h2))) (* (cbrt (* h0 (/ (+ (- h1 h2) h3) h2))) (cbrt (* h0 (/ (+ (- h1 h2) h3) h2)))) (cbrt (* h0 (/ (+ (- h1 h2) h3) h2))) (* (* (* h0 (/ (+ (- h1 h2) h3) h2)) (* h0 (/ (+ (- h1 h2) h3) h2))) (* h0 (/ (+ (- h1 h2) h3) h2))) (sqrt (* h0 (/ (+ (- h1 h2) h3) h2))) (sqrt (* h0 (/ (+ (- h1 h2) h3) h2))) (* (sqrt h0) (sqrt (/ (+ (- h1 h2) h3) h2))) (* (sqrt h0) (sqrt (/ (+ (- h1 h2) h3) h2))) (* (sqrt h0) (/ (sqrt (+ (- h1 h2) h3)) (sqrt h2))) (* (sqrt h0) (/ (sqrt (+ (- h1 h2) h3)) (sqrt h2))) (* h0 (* (cbrt (/ (+ (- h1 h2) h3) h2)) (cbrt (/ (+ (- h1 h2) h3) h2)))) (* h0 (sqrt (/ (+ (- h1 h2) h3) h2))) (* h0 (/ (* (cbrt (+ (- h1 h2) h3)) (cbrt (+ (- h1 h2) h3))) (* (cbrt h2) (cbrt h2)))) (* h0 (/ (* (cbrt (+ (- h1 h2) h3)) (cbrt (+ (- h1 h2) h3))) (sqrt h2))) (* h0 (/ (* (cbrt (+ (- h1 h2) h3)) (cbrt (+ (- h1 h2) h3))) 1)) (* h0 (/ (sqrt (+ (- h1 h2) h3)) (* (cbrt h2) (cbrt h2)))) (* h0 (/ (sqrt (+ (- h1 h2) h3)) (sqrt h2))) (* h0 (/ (sqrt (+ (- h1 h2) h3)) 1)) (* h0 (/ 1 (* (cbrt h2) (cbrt h2)))) (* h0 (/ 1 (sqrt h2))) (* h0 (/ 1 1)) (* h0 (/ 1 (* (cbrt h2) (cbrt h2)))) (* h0 (/ 1 (sqrt h2))) (* h0 (/ 1 1)) (* h0 (/ 1 (* (cbrt h2) (cbrt h2)))) (* h0 (/ 1 (sqrt h2))) (* h0 (/ 1 1)) (* h0 1) (* h0 (+ (- h1 h2) h3)) (* (cbrt h0) (/ (+ (- h1 h2) h3) h2)) (* (sqrt h0) (/ (+ (- h1 h2) h3) h2)) (* h0 (/ (+ (- h1 h2) h3) h2)) (* h0 (+ (- h1 h2) h3)) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) (- (+ (/ (* h0 h1) h2) (* h3 (/ h0 h2))) h0) 1.258 * * [simplify]: iteration 0 : 208 enodes (cost 247 ) 1.264 * * [simplify]: iteration 1 : 979 enodes (cost 217 ) 1.284 * * [simplify]: iteration 2 : 4449 enodes (cost 217 ) 1.348 * * [simplify]: iteration 3 : 5001 enodes (cost 214 ) 1.350 * [simplify]: Simplified to: (expm1 (* x (/ (+ (- y z) 1.0) z))) (log1p (* x (/ (+ (- y z) 1.0) z))) (* x (/ (+ (- y z) 1.0) z)) (log (* x (/ (+ (- y z) 1.0) z))) (log (* x (/ (+ (- y z) 1.0) z))) (log (* x (/ (+ (- y z) 1.0) z))) (exp (* x (/ (+ (- y z) 1.0) z))) (pow (* x (/ (+ (- y z) 1.0) z)) 3) (pow (* x (/ (+ (- y z) 1.0) z)) 3) (* (cbrt (* x (/ (+ (- y z) 1.0) z))) (cbrt (* x (/ (+ (- y z) 1.0) z)))) (cbrt (* x (/ (+ (- y z) 1.0) z))) (pow (* x (/ (+ (- y z) 1.0) z)) 3) (sqrt (* x (/ (+ (- y z) 1.0) z))) (sqrt (* x (/ (+ (- y z) 1.0) z))) (* (sqrt x) (sqrt (/ (+ (- y z) 1.0) z))) (* (sqrt x) (sqrt (/ (+ (- y z) 1.0) z))) (* (sqrt x) (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* (sqrt x) (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* x (* (cbrt (/ (+ (- y z) 1.0) z)) (cbrt (/ (+ (- y z) 1.0) z)))) (* x (sqrt (/ (+ (- y z) 1.0) z))) (* x (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (* (cbrt z) (cbrt z)))) (* x (/ (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) (sqrt z))) (* (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0))) x) (* x (/ (sqrt (+ (- y z) 1.0)) (* (cbrt z) (cbrt z)))) (* x (/ (sqrt (+ (- y z) 1.0)) (sqrt z))) (* (sqrt (+ (- y z) 1.0)) x) (/ x (* (cbrt z) (cbrt z))) (/ x (sqrt z)) x (/ x (* (cbrt z) (cbrt z))) (/ x (sqrt z)) x (/ x (* (cbrt z) (cbrt z))) (/ x (sqrt z)) x x (* x (+ (- y z) 1.0)) (* (cbrt x) (/ (+ (- y z) 1.0) z)) (* (sqrt x) (/ (+ (- y z) 1.0) z)) (* x (/ (+ (- y z) 1.0) z)) (* x (+ (- y z) 1.0)) (fma (/ x z) (+ 1.0 y) (- x)) (fma (/ x z) (+ 1.0 y) (- x)) (fma (/ x z) (+ 1.0 y) (- x)) 1.350 * * * [progress]: adding candidates to table 1.415 * * [progress]: iteration 4 / 4 1.415 * * * [progress]: picking best candidate 1.420 * * * * [pick]: Picked # 1.420 * * * [progress]: localizing error 1.427 * * * [progress]: generating rewritten candidates 1.427 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.428 * * * [progress]: generating series expansions 1.428 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.428 * [approximate]: Taking taylor expansion of (fma (/ x z) (+ y 1.0) (- x)) in (x z y) around 0 1.428 * [taylor]: Taking taylor expansion of (fma (/ x z) (+ y 1.0) (- x)) in y 1.428 * [taylor]: Rewrote expression to (+ (* (/ x z) (+ y 1.0)) (- x)) 1.428 * [taylor]: Taking taylor expansion of (* (/ x z) (+ y 1.0)) in y 1.428 * [taylor]: Taking taylor expansion of (/ x z) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of z in y 1.428 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.428 * [taylor]: Taking taylor expansion of y in y 1.428 * [taylor]: Taking taylor expansion of 1.0 in y 1.428 * [taylor]: Taking taylor expansion of (- x) in y 1.428 * [taylor]: Taking taylor expansion of x in y 1.428 * [taylor]: Taking taylor expansion of (fma (/ x z) (+ y 1.0) (- x)) in z 1.428 * [taylor]: Rewrote expression to (+ (* (/ x z) (+ y 1.0)) (- x)) 1.428 * [taylor]: Taking taylor expansion of (* (/ x z) (+ y 1.0)) in z 1.428 * [taylor]: Taking taylor expansion of (/ x z) in z 1.428 * [taylor]: Taking taylor expansion of x in z 1.428 * [taylor]: Taking taylor expansion of z in z 1.428 * [taylor]: Taking taylor expansion of (+ y 1.0) in z 1.428 * [taylor]: Taking taylor expansion of y in z 1.428 * [taylor]: Taking taylor expansion of 1.0 in z 1.428 * [taylor]: Taking taylor expansion of (- x) in z 1.428 * [taylor]: Taking taylor expansion of x in z 1.428 * [taylor]: Taking taylor expansion of (fma (/ x z) (+ y 1.0) (- x)) in x 1.428 * [taylor]: Rewrote expression to (+ (* (/ x z) (+ y 1.0)) (- x)) 1.428 * [taylor]: Taking taylor expansion of (* (/ x z) (+ y 1.0)) in x 1.428 * [taylor]: Taking taylor expansion of (/ x z) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of z in x 1.429 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (- x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (fma (/ x z) (+ y 1.0) (- x)) in x 1.429 * [taylor]: Rewrote expression to (+ (* (/ x z) (+ y 1.0)) (- x)) 1.429 * [taylor]: Taking taylor expansion of (* (/ x z) (+ y 1.0)) in x 1.429 * [taylor]: Taking taylor expansion of (/ x z) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of z in x 1.429 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.429 * [taylor]: Taking taylor expansion of y in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (- x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.430 * [taylor]: Taking taylor expansion of 0 in z 1.430 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 z)) (/ y z)) 1) in z 1.430 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 z)) (/ y z)) in z 1.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 z)) in z 1.430 * [taylor]: Taking taylor expansion of 1.0 in z 1.430 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.430 * [taylor]: Taking taylor expansion of z in z 1.430 * [taylor]: Taking taylor expansion of (/ y z) in z 1.430 * [taylor]: Taking taylor expansion of y in z 1.430 * [taylor]: Taking taylor expansion of z in z 1.430 * [taylor]: Taking taylor expansion of 1 in z 1.431 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.431 * [taylor]: Taking taylor expansion of y in y 1.431 * [taylor]: Taking taylor expansion of 1.0 in y 1.431 * [taylor]: Taking taylor expansion of 0 in y 1.432 * [taylor]: Taking taylor expansion of 0 in z 1.433 * [taylor]: Taking taylor expansion of -1 in y 1.433 * [taylor]: Taking taylor expansion of 0 in y 1.434 * [approximate]: Taking taylor expansion of (fma (/ z x) (+ (/ 1 y) 1.0) (- (/ 1 x))) in (x z y) around 0 1.434 * [taylor]: Taking taylor expansion of (fma (/ z x) (+ (/ 1 y) 1.0) (- (/ 1 x))) in y 1.434 * [taylor]: Rewrote expression to (+ (* (/ z x) (+ (/ 1 y) 1.0)) (- (/ 1 x))) 1.434 * [taylor]: Taking taylor expansion of (* (/ z x) (+ (/ 1 y) 1.0)) in y 1.434 * [taylor]: Taking taylor expansion of (/ z x) in y 1.434 * [taylor]: Taking taylor expansion of z in y 1.434 * [taylor]: Taking taylor expansion of x in y 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.434 * [taylor]: Taking taylor expansion of y in y 1.435 * [taylor]: Taking taylor expansion of 1.0 in y 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.435 * [taylor]: Taking taylor expansion of x in y 1.435 * [taylor]: Taking taylor expansion of (fma (/ z x) (+ (/ 1 y) 1.0) (- (/ 1 x))) in z 1.435 * [taylor]: Rewrote expression to (+ (* (/ z x) (+ (/ 1 y) 1.0)) (- (/ 1 x))) 1.435 * [taylor]: Taking taylor expansion of (* (/ z x) (+ (/ 1 y) 1.0)) in z 1.435 * [taylor]: Taking taylor expansion of (/ z x) in z 1.435 * [taylor]: Taking taylor expansion of z in z 1.435 * [taylor]: Taking taylor expansion of x in z 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in z 1.435 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.435 * [taylor]: Taking taylor expansion of y in z 1.435 * [taylor]: Taking taylor expansion of 1.0 in z 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in z 1.435 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.435 * [taylor]: Taking taylor expansion of x in z 1.435 * [taylor]: Taking taylor expansion of (fma (/ z x) (+ (/ 1 y) 1.0) (- (/ 1 x))) in x 1.435 * [taylor]: Rewrote expression to (+ (* (/ z x) (+ (/ 1 y) 1.0)) (- (/ 1 x))) 1.435 * [taylor]: Taking taylor expansion of (* (/ z x) (+ (/ 1 y) 1.0)) in x 1.435 * [taylor]: Taking taylor expansion of (/ z x) in x 1.435 * [taylor]: Taking taylor expansion of z in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.435 * [taylor]: Taking taylor expansion of y in x 1.435 * [taylor]: Taking taylor expansion of 1.0 in x 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.435 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (fma (/ z x) (+ (/ 1 y) 1.0) (- (/ 1 x))) in x 1.436 * [taylor]: Rewrote expression to (+ (* (/ z x) (+ (/ 1 y) 1.0)) (- (/ 1 x))) 1.436 * [taylor]: Taking taylor expansion of (* (/ z x) (+ (/ 1 y) 1.0)) in x 1.436 * [taylor]: Taking taylor expansion of (/ z x) in x 1.436 * [taylor]: Taking taylor expansion of z in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.436 * [taylor]: Taking taylor expansion of y in x 1.436 * [taylor]: Taking taylor expansion of 1.0 in x 1.436 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.437 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 z) (/ z y)) 1) in z 1.437 * [taylor]: Taking taylor expansion of (+ (* 1.0 z) (/ z y)) in z 1.437 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 1.437 * [taylor]: Taking taylor expansion of 1.0 in z 1.437 * [taylor]: Taking taylor expansion of z in z 1.437 * [taylor]: Taking taylor expansion of (/ z y) in z 1.437 * [taylor]: Taking taylor expansion of z in z 1.437 * [taylor]: Taking taylor expansion of y in z 1.437 * [taylor]: Taking taylor expansion of 1 in z 1.438 * [taylor]: Taking taylor expansion of -1 in y 1.439 * [taylor]: Taking taylor expansion of 0 in z 1.439 * [taylor]: Taking taylor expansion of 0 in y 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.440 * [taylor]: Taking taylor expansion of y in y 1.440 * [taylor]: Taking taylor expansion of 1.0 in y 1.443 * [taylor]: Taking taylor expansion of 0 in z 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.443 * [taylor]: Taking taylor expansion of 0 in y 1.444 * [taylor]: Taking taylor expansion of 0 in y 1.445 * [approximate]: Taking taylor expansion of (fma (/ z x) (- 1.0 (/ 1 y)) (/ 1 x)) in (x z y) around 0 1.445 * [taylor]: Taking taylor expansion of (fma (/ z x) (- 1.0 (/ 1 y)) (/ 1 x)) in y 1.445 * [taylor]: Rewrote expression to (+ (* (/ z x) (- 1.0 (/ 1 y))) (/ 1 x)) 1.445 * [taylor]: Taking taylor expansion of (* (/ z x) (- 1.0 (/ 1 y))) in y 1.445 * [taylor]: Taking taylor expansion of (/ z x) in y 1.445 * [taylor]: Taking taylor expansion of z in y 1.445 * [taylor]: Taking taylor expansion of x in y 1.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.445 * [taylor]: Taking taylor expansion of 1.0 in y 1.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.445 * [taylor]: Taking taylor expansion of y in y 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.446 * [taylor]: Taking taylor expansion of x in y 1.446 * [taylor]: Taking taylor expansion of (fma (/ z x) (- 1.0 (/ 1 y)) (/ 1 x)) in z 1.446 * [taylor]: Rewrote expression to (+ (* (/ z x) (- 1.0 (/ 1 y))) (/ 1 x)) 1.446 * [taylor]: Taking taylor expansion of (* (/ z x) (- 1.0 (/ 1 y))) in z 1.446 * [taylor]: Taking taylor expansion of (/ z x) in z 1.446 * [taylor]: Taking taylor expansion of z in z 1.446 * [taylor]: Taking taylor expansion of x in z 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in z 1.446 * [taylor]: Taking taylor expansion of 1.0 in z 1.446 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.446 * [taylor]: Taking taylor expansion of y in z 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in z 1.446 * [taylor]: Taking taylor expansion of x in z 1.446 * [taylor]: Taking taylor expansion of (fma (/ z x) (- 1.0 (/ 1 y)) (/ 1 x)) in x 1.446 * [taylor]: Rewrote expression to (+ (* (/ z x) (- 1.0 (/ 1 y))) (/ 1 x)) 1.446 * [taylor]: Taking taylor expansion of (* (/ z x) (- 1.0 (/ 1 y))) in x 1.446 * [taylor]: Taking taylor expansion of (/ z x) in x 1.446 * [taylor]: Taking taylor expansion of z in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.446 * [taylor]: Taking taylor expansion of 1.0 in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.446 * [taylor]: Taking taylor expansion of y in x 1.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.446 * [taylor]: Taking taylor expansion of x in x 1.446 * [taylor]: Taking taylor expansion of (fma (/ z x) (- 1.0 (/ 1 y)) (/ 1 x)) in x 1.447 * [taylor]: Rewrote expression to (+ (* (/ z x) (- 1.0 (/ 1 y))) (/ 1 x)) 1.447 * [taylor]: Taking taylor expansion of (* (/ z x) (- 1.0 (/ 1 y))) in x 1.447 * [taylor]: Taking taylor expansion of (/ z x) in x 1.447 * [taylor]: Taking taylor expansion of z in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.447 * [taylor]: Taking taylor expansion of 1.0 in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.447 * [taylor]: Taking taylor expansion of y in x 1.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.447 * [taylor]: Taking taylor expansion of x in x 1.447 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 z) 1) (/ z y)) in z 1.447 * [taylor]: Taking taylor expansion of (+ (* 1.0 z) 1) in z 1.447 * [taylor]: Taking taylor expansion of (* 1.0 z) in z 1.447 * [taylor]: Taking taylor expansion of 1.0 in z 1.447 * [taylor]: Taking taylor expansion of z in z 1.447 * [taylor]: Taking taylor expansion of 1 in z 1.447 * [taylor]: Taking taylor expansion of (/ z y) in z 1.447 * [taylor]: Taking taylor expansion of z in z 1.447 * [taylor]: Taking taylor expansion of y in z 1.448 * [taylor]: Taking taylor expansion of 1 in y 1.450 * [taylor]: Taking taylor expansion of 0 in z 1.450 * [taylor]: Taking taylor expansion of 0 in y 1.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.451 * [taylor]: Taking taylor expansion of 1.0 in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.456 * [taylor]: Taking taylor expansion of 0 in z 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.459 * * * [progress]: simplifying candidates 1.459 * [simplify]: Simplifying using # : (expm1 (fma (/ x z) (+ 1.0 y) (- x))) (log1p (fma (/ x z) (+ 1.0 y) (- x))) (* (/ x z) (+ 1.0 y)) (log (fma (/ x z) (+ 1.0 y) (- x))) (exp (fma (/ x z) (+ 1.0 y) (- x))) (* (cbrt (fma (/ x z) (+ 1.0 y) (- x))) (cbrt (fma (/ x z) (+ 1.0 y) (- x)))) (cbrt (fma (/ x z) (+ 1.0 y) (- x))) (* (* (fma (/ x z) (+ 1.0 y) (- x)) (fma (/ x z) (+ 1.0 y) (- x))) (fma (/ x z) (+ 1.0 y) (- x))) (sqrt (fma (/ x z) (+ 1.0 y) (- x))) (sqrt (fma (/ x z) (+ 1.0 y) (- x))) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) (- (+ (/ (* x y) z) (* 1.0 (/ x z))) x) 1.459 * [simplify]: Sending expressions to egg_math: (expm1 (fma (/ h0 h1) (+ h2 h3) (- h0))) (log1p (fma (/ h0 h1) (+ h2 h3) (- h0))) (* (/ h0 h1) (+ h2 h3)) (log (fma (/ h0 h1) (+ h2 h3) (- h0))) (exp (fma (/ h0 h1) (+ h2 h3) (- h0))) (* (cbrt (fma (/ h0 h1) (+ h2 h3) (- h0))) (cbrt (fma (/ h0 h1) (+ h2 h3) (- h0)))) (cbrt (fma (/ h0 h1) (+ h2 h3) (- h0))) (* (* (fma (/ h0 h1) (+ h2 h3) (- h0)) (fma (/ h0 h1) (+ h2 h3) (- h0))) (fma (/ h0 h1) (+ h2 h3) (- h0))) (sqrt (fma (/ h0 h1) (+ h2 h3) (- h0))) (sqrt (fma (/ h0 h1) (+ h2 h3) (- h0))) (- (+ (/ (* h0 h3) h1) (* h2 (/ h0 h1))) h0) (- (+ (/ (* h0 h3) h1) (* h2 (/ h0 h1))) h0) (- (+ (/ (* h0 h3) h1) (* h2 (/ h0 h1))) h0) 1.462 * * [simplify]: iteration 0 : 43 enodes (cost 81 ) 1.464 * * [simplify]: iteration 1 : 99 enodes (cost 66 ) 1.466 * * [simplify]: iteration 2 : 344 enodes (cost 66 ) 1.474 * * [simplify]: iteration 3 : 1870 enodes (cost 66 ) 1.510 * * [simplify]: iteration 4 : 5003 enodes (cost 66 ) 1.511 * [simplify]: Simplified to: (expm1 (fma (/ x z) (+ 1.0 y) (- x))) (log1p (fma (/ x z) (+ 1.0 y) (- x))) (* (/ x z) (+ 1.0 y)) (log (fma (/ x z) (+ 1.0 y) (- x))) (exp (fma (/ x z) (+ 1.0 y) (- x))) (* (cbrt (fma (/ x z) (+ 1.0 y) (- x))) (cbrt (fma (/ x z) (+ 1.0 y) (- x)))) (cbrt (fma (/ x z) (+ 1.0 y) (- x))) (pow (fma (/ x z) (+ 1.0 y) (- x)) 3) (sqrt (fma (/ x z) (+ 1.0 y) (- x))) (sqrt (fma (/ x z) (+ 1.0 y) (- x))) (fma (/ x z) (+ 1.0 y) (- x)) (fma (/ x z) (+ 1.0 y) (- x)) (fma (/ x z) (+ 1.0 y) (- x)) 1.511 * * * [progress]: adding candidates to table 1.535 * [progress]: [Phase 3 of 3] Extracting. 1.536 * * [regime]: Finding splitpoints for: (# # # # # #) 1.536 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 1.536 * * * * [regimes]: Trying to branch on z from (# # # # # #) 1.558 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.577 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.598 * * * [regime]: Found split indices: #