10.958 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.017 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (- h2 h1)) 0.019 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 70 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 90 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 97 enodes (cost 3 ) 0.027 * * [simplify]: iteration 5 : 97 enodes (cost 3 ) 0.027 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.060 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (* x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (* x y) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of 1.0 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 1.0 in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (+ (+ (log x) (log y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (* (* (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* x y) 1) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* (* x y) 1) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.102 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (- h2 h1)) (* (* h0 h1) (- h2 h1)) (+ (+ (log h0) (log h1)) (log (- h2 h1))) (+ (log (* h0 h1)) (log (- h2 h1))) (log (* (* h0 h1) (- h2 h1))) (exp (* (* h0 h1) (- h2 h1))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (- h2 h1) (- h2 h1)) (- h2 h1))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (- h2 h1) (- h2 h1)) (- h2 h1))) (* (cbrt (* (* h0 h1) (- h2 h1))) (cbrt (* (* h0 h1) (- h2 h1)))) (cbrt (* (* h0 h1) (- h2 h1))) (* (* (* (* h0 h1) (- h2 h1)) (* (* h0 h1) (- h2 h1))) (* (* h0 h1) (- h2 h1))) (sqrt (* (* h0 h1) (- h2 h1))) (sqrt (* (* h0 h1) (- h2 h1))) (* (* h0 h1) h2) (* (* h0 h1) (- h1)) (* (* h0 h1) h2) (* (* h0 h1) (- h1)) (* h2 (* h0 h1)) (* (- h1) (* h0 h1)) (* h2 (* h0 h1)) (* (- h1) (* h0 h1)) (* (* h0 h1) (* (cbrt (- h2 h1)) (cbrt (- h2 h1)))) (* (* h0 h1) (sqrt (- h2 h1))) (* (* h0 h1) 1) (* (* h0 h1) (+ (sqrt h2) (sqrt h1))) (* (* h0 h1) 1) (* h1 (- h2 h1)) (* (* h0 h1) (- (pow h2 3) (pow h1 3))) (* (* h0 h1) (- (* h2 h2) (* h1 h1))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) 0.105 * * [simplify]: iteration 0 : 167 enodes (cost 140 ) 0.109 * * [simplify]: iteration 1 : 840 enodes (cost 114 ) 0.130 * * [simplify]: iteration 2 : 5002 enodes (cost 114 ) 0.131 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* x y) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* x y) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) 0.131 * * * [progress]: adding candidates to table 0.165 * * [progress]: iteration 2 / 4 0.165 * * * [progress]: picking best candidate 0.169 * * * * [pick]: Picked # 0.169 * * * [progress]: localizing error 0.174 * * * [progress]: generating rewritten candidates 0.174 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.225 * * * [progress]: generating series expansions 0.225 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.226 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.226 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.226 * [taylor]: Taking taylor expansion of 1.0 in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (* x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.228 * [taylor]: Taking taylor expansion of 1.0 in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (* x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 1.0 in y 0.252 * [taylor]: Taking taylor expansion of (* x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (* x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [taylor]: Taking taylor expansion of (* x y) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 1.0 in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.264 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.264 * [approximate]: Taking taylor expansion of (* (- 1.0 y) y) in (y) around 0 0.264 * [taylor]: Taking taylor expansion of (* (- 1.0 y) y) in y 0.264 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* (- 1.0 y) y) in y 0.264 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.275 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in (y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.287 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in (y) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in y 0.287 * [taylor]: Taking taylor expansion of -1 in y 0.287 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in y 0.288 * [taylor]: Taking taylor expansion of -1 in y 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.308 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying using # : (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (+ (log x) (+ (log y) (log (- 1.0 y)))) (+ (log x) (log (* y (- 1.0 y)))) (log (* x (* y (- 1.0 y)))) (exp (* x (* y (- 1.0 y)))) (* (* (* x x) x) (* (* (* y y) y) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y)))) (* (* (* x x) x) (* (* (* y (- 1.0 y)) (* y (- 1.0 y))) (* y (- 1.0 y)))) (* (cbrt (* x (* y (- 1.0 y)))) (cbrt (* x (* y (- 1.0 y))))) (cbrt (* x (* y (- 1.0 y)))) (* (* (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y)))) (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (* x (* y 1.0)) (* x (* y (- y))) (* x (* y 1.0)) (* x (* y (- y))) (* x (* 1.0 y)) (* x (* (- y) y)) (* x (* 1.0 y)) (* x (* (- y) y)) (* (* y 1.0) x) (* (* y (- y)) x) (* (* y 1.0) x) (* (* y (- y)) x) (* (* 1.0 y) x) (* (* (- y) y) x) (* (* 1.0 y) x) (* (* (- y) y) x) (* x y) (* (cbrt x) (* y (- 1.0 y))) (* (sqrt x) (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (* x (* y (- (pow 1.0 3) (pow y 3)))) (* x (* y (- (* 1.0 1.0) (* y y)))) (* y (- 1.0 y)) (+ (log y) (log (- 1.0 y))) (log (* y (- 1.0 y))) (exp (* y (- 1.0 y))) (* (* (* y y) y) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y))) (* (* (* y (- 1.0 y)) (* y (- 1.0 y))) (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* y 1.0) (* y (- y)) (* y 1.0) (* y (- y)) (* 1.0 y) (* (- y) y) (* 1.0 y) (* (- y) y) (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* y (sqrt (- 1.0 y))) (* y 1) (* y (+ (sqrt 1.0) (sqrt y))) (* y 1) (* (cbrt y) (- 1.0 y)) (* (sqrt y) (- 1.0 y)) (* y (- 1.0 y)) (* y (- (pow 1.0 3) (pow y 3))) (* y (- (* 1.0 1.0) (* y y))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) 0.309 * [simplify]: Sending expressions to egg_math: (* h0 (* h1 (- h2 h1))) (* h0 (* h1 (- h2 h1))) (+ (log h0) (+ (log h1) (log (- h2 h1)))) (+ (log h0) (log (* h1 (- h2 h1)))) (log (* h0 (* h1 (- h2 h1)))) (exp (* h0 (* h1 (- h2 h1)))) (* (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* (- h2 h1) (- h2 h1)) (- h2 h1)))) (* (* (* h0 h0) h0) (* (* (* h1 (- h2 h1)) (* h1 (- h2 h1))) (* h1 (- h2 h1)))) (* (cbrt (* h0 (* h1 (- h2 h1)))) (cbrt (* h0 (* h1 (- h2 h1))))) (cbrt (* h0 (* h1 (- h2 h1)))) (* (* (* h0 (* h1 (- h2 h1))) (* h0 (* h1 (- h2 h1)))) (* h0 (* h1 (- h2 h1)))) (sqrt (* h0 (* h1 (- h2 h1)))) (sqrt (* h0 (* h1 (- h2 h1)))) (* h0 (* h1 h2)) (* h0 (* h1 (- h1))) (* h0 (* h1 h2)) (* h0 (* h1 (- h1))) (* h0 (* h2 h1)) (* h0 (* (- h1) h1)) (* h0 (* h2 h1)) (* h0 (* (- h1) h1)) (* (* h1 h2) h0) (* (* h1 (- h1)) h0) (* (* h1 h2) h0) (* (* h1 (- h1)) h0) (* (* h2 h1) h0) (* (* (- h1) h1) h0) (* (* h2 h1) h0) (* (* (- h1) h1) h0) (* h0 h1) (* (cbrt h0) (* h1 (- h2 h1))) (* (sqrt h0) (* h1 (- h2 h1))) (* h0 (* h1 (- h2 h1))) (* h0 (* h1 (- (pow h2 3) (pow h1 3)))) (* h0 (* h1 (- (* h2 h2) (* h1 h1)))) (* h1 (- h2 h1)) (+ (log h1) (log (- h2 h1))) (log (* h1 (- h2 h1))) (exp (* h1 (- h2 h1))) (* (* (* h1 h1) h1) (* (* (- h2 h1) (- h2 h1)) (- h2 h1))) (* (cbrt (* h1 (- h2 h1))) (cbrt (* h1 (- h2 h1)))) (cbrt (* h1 (- h2 h1))) (* (* (* h1 (- h2 h1)) (* h1 (- h2 h1))) (* h1 (- h2 h1))) (sqrt (* h1 (- h2 h1))) (sqrt (* h1 (- h2 h1))) (* (sqrt h1) (sqrt (- h2 h1))) (* (sqrt h1) (sqrt (- h2 h1))) (* h1 h2) (* h1 (- h1)) (* h1 h2) (* h1 (- h1)) (* h2 h1) (* (- h1) h1) (* h2 h1) (* (- h1) h1) (* h1 (* (cbrt (- h2 h1)) (cbrt (- h2 h1)))) (* h1 (sqrt (- h2 h1))) (* h1 1) (* h1 (+ (sqrt h2) (sqrt h1))) (* h1 1) (* (cbrt h1) (- h2 h1)) (* (sqrt h1) (- h2 h1)) (* h1 (- h2 h1)) (* h1 (- (pow h2 3) (pow h1 3))) (* h1 (- (* h2 h2) (* h1 h1))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 h1) (pow h1 2)) (- (* h2 h1) (pow h1 2)) (- (* h2 h1) (pow h1 2)) 0.313 * * [simplify]: iteration 0 : 198 enodes (cost 252 ) 0.317 * * [simplify]: iteration 1 : 861 enodes (cost 214 ) 0.338 * * [simplify]: iteration 2 : 5002 enodes (cost 214 ) 0.339 * [simplify]: Simplified to: (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (log (* x (* y (- 1.0 y)))) (log (* x (* y (- 1.0 y)))) (log (* x (* y (- 1.0 y)))) (exp (* x (* y (- 1.0 y)))) (pow (* x (* y (- 1.0 y))) 3) (pow (* x (* y (- 1.0 y))) 3) (* (cbrt (* x (* y (- 1.0 y)))) (cbrt (* x (* y (- 1.0 y))))) (cbrt (* x (* y (- 1.0 y)))) (pow (* x (* y (- 1.0 y))) 3) (sqrt (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x y) (* (cbrt x) (* y (- 1.0 y))) (* (sqrt x) (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (* x (* y (- (pow 1.0 3) (pow y 3)))) (* x (* y (- (* 1.0 1.0) (* y y)))) (* y (- 1.0 y)) (log (* y (- 1.0 y))) (log (* y (- 1.0 y))) (exp (* y (- 1.0 y))) (pow (* y (- 1.0 y)) 3) (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y))) (pow (* y (- 1.0 y)) 3) (sqrt (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (* (sqrt (- 1.0 y)) (pow y 1/2)) (* (sqrt (- 1.0 y)) (pow y 1/2)) (* y 1.0) (* (- y) y) (* y 1.0) (* (- y) y) (* y 1.0) (* (- y) y) (* y 1.0) (* (- y) y) (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* y (sqrt (- 1.0 y))) y (* y (+ (sqrt 1.0) (sqrt y))) y (* (cbrt y) (- 1.0 y)) (* (sqrt y) (- 1.0 y)) (* y (- 1.0 y)) (* y (- (pow 1.0 3) (pow y 3))) (* y (- (* 1.0 1.0) (* y y))) (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (* y (- 1.0 y)) (* y (- 1.0 y)) (* y (- 1.0 y)) 0.340 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 3 / 4 0.405 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.417 * * * [progress]: generating rewritten candidates 0.417 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.441 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.449 * * * [progress]: generating series expansions 0.449 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.449 * [approximate]: Taking taylor expansion of (* x (- (* 1.0 y) (pow y 2))) in (x y) around 0 0.449 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 y) (pow y 2))) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.449 * [taylor]: Taking taylor expansion of 1.0 in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 y) (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (* x (- (* 1.0 y) (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.449 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.451 * [taylor]: Taking taylor expansion of 1.0 in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in y 0.462 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in x 0.463 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in x 0.463 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in x 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.464 * [taylor]: Taking taylor expansion of 1.0 in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [approximate]: Taking taylor expansion of (/ (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (/ (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in y 0.484 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.484 * [taylor]: Taking taylor expansion of 1.0 in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (/ (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in x 0.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in x 0.485 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.485 * [taylor]: Taking taylor expansion of 1.0 in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (/ (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) x) in x 0.485 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.486 * [taylor]: Taking taylor expansion of 1.0 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.508 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.508 * [approximate]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in (y) around 0 0.508 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.508 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.508 * [taylor]: Taking taylor expansion of 1.0 in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.521 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in (y) around 0 0.521 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.521 * [taylor]: Taking taylor expansion of 1.0 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.522 * [taylor]: Taking taylor expansion of 1.0 in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.539 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) in (y) around 0 0.539 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) in y 0.539 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.539 * [taylor]: Taking taylor expansion of 1.0 in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2)))) in y 0.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.540 * [taylor]: Taking taylor expansion of 1.0 in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.540 * [taylor]: Taking taylor expansion of y in y 0.558 * * * [progress]: simplifying candidates 0.559 * [simplify]: Simplifying using # : (* x (+ (* y 1.0) (* (- y) y))) (+ (log x) (log (+ (* y 1.0) (* (- y) y)))) (log (* x (+ (* y 1.0) (* (- y) y)))) (exp (* x (+ (* y 1.0) (* (- y) y)))) (* (* (* x x) x) (* (* (+ (* y 1.0) (* (- y) y)) (+ (* y 1.0) (* (- y) y))) (+ (* y 1.0) (* (- y) y)))) (* (cbrt (* x (+ (* y 1.0) (* (- y) y)))) (cbrt (* x (+ (* y 1.0) (* (- y) y))))) (cbrt (* x (+ (* y 1.0) (* (- y) y)))) (* (* (* x (+ (* y 1.0) (* (- y) y))) (* x (+ (* y 1.0) (* (- y) y)))) (* x (+ (* y 1.0) (* (- y) y)))) (sqrt (* x (+ (* y 1.0) (* (- y) y)))) (sqrt (* x (+ (* y 1.0) (* (- y) y)))) (* (sqrt x) (sqrt (+ (* y 1.0) (* (- y) y)))) (* (sqrt x) (sqrt (+ (* y 1.0) (* (- y) y)))) (* x (* y 1.0)) (* x (* (- y) y)) (* (* y 1.0) x) (* (* (- y) y) x) (* x (* (cbrt (+ (* y 1.0) (* (- y) y))) (cbrt (+ (* y 1.0) (* (- y) y))))) (* x (sqrt (+ (* y 1.0) (* (- y) y)))) (* x 1) (* (cbrt x) (+ (* y 1.0) (* (- y) y))) (* (sqrt x) (+ (* y 1.0) (* (- y) y))) (* x (+ (* y 1.0) (* (- y) y))) (* x (+ (pow (* y 1.0) 3) (pow (* (- y) y) 3))) (* x (- (* (* y 1.0) (* y 1.0)) (* (* (- y) y) (* (- y) y)))) (* (exp (* y 1.0)) (exp (* (- y) y))) (log (+ (* y 1.0) (* (- y) y))) (exp (+ (* y 1.0) (* (- y) y))) (* (cbrt (+ (* y 1.0) (* (- y) y))) (cbrt (+ (* y 1.0) (* (- y) y)))) (cbrt (+ (* y 1.0) (* (- y) y))) (* (* (+ (* y 1.0) (* (- y) y)) (+ (* y 1.0) (* (- y) y))) (+ (* y 1.0) (* (- y) y))) (sqrt (+ (* y 1.0) (* (- y) y))) (sqrt (+ (* y 1.0) (* (- y) y))) (+ (pow (* y 1.0) 3) (pow (* (- y) y) 3)) (+ (* (* y 1.0) (* y 1.0)) (- (* (* (- y) y) (* (- y) y)) (* (* y 1.0) (* (- y) y)))) (- (* (* y 1.0) (* y 1.0)) (* (* (- y) y) (* (- y) y))) (- (* y 1.0) (* (- y) y)) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) 0.559 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h2) (* (- h1) h1))) (+ (log h0) (log (+ (* h1 h2) (* (- h1) h1)))) (log (* h0 (+ (* h1 h2) (* (- h1) h1)))) (exp (* h0 (+ (* h1 h2) (* (- h1) h1)))) (* (* (* h0 h0) h0) (* (* (+ (* h1 h2) (* (- h1) h1)) (+ (* h1 h2) (* (- h1) h1))) (+ (* h1 h2) (* (- h1) h1)))) (* (cbrt (* h0 (+ (* h1 h2) (* (- h1) h1)))) (cbrt (* h0 (+ (* h1 h2) (* (- h1) h1))))) (cbrt (* h0 (+ (* h1 h2) (* (- h1) h1)))) (* (* (* h0 (+ (* h1 h2) (* (- h1) h1))) (* h0 (+ (* h1 h2) (* (- h1) h1)))) (* h0 (+ (* h1 h2) (* (- h1) h1)))) (sqrt (* h0 (+ (* h1 h2) (* (- h1) h1)))) (sqrt (* h0 (+ (* h1 h2) (* (- h1) h1)))) (* (sqrt h0) (sqrt (+ (* h1 h2) (* (- h1) h1)))) (* (sqrt h0) (sqrt (+ (* h1 h2) (* (- h1) h1)))) (* h0 (* h1 h2)) (* h0 (* (- h1) h1)) (* (* h1 h2) h0) (* (* (- h1) h1) h0) (* h0 (* (cbrt (+ (* h1 h2) (* (- h1) h1))) (cbrt (+ (* h1 h2) (* (- h1) h1))))) (* h0 (sqrt (+ (* h1 h2) (* (- h1) h1)))) (* h0 1) (* (cbrt h0) (+ (* h1 h2) (* (- h1) h1))) (* (sqrt h0) (+ (* h1 h2) (* (- h1) h1))) (* h0 (+ (* h1 h2) (* (- h1) h1))) (* h0 (+ (pow (* h1 h2) 3) (pow (* (- h1) h1) 3))) (* h0 (- (* (* h1 h2) (* h1 h2)) (* (* (- h1) h1) (* (- h1) h1)))) (* (exp (* h1 h2)) (exp (* (- h1) h1))) (log (+ (* h1 h2) (* (- h1) h1))) (exp (+ (* h1 h2) (* (- h1) h1))) (* (cbrt (+ (* h1 h2) (* (- h1) h1))) (cbrt (+ (* h1 h2) (* (- h1) h1)))) (cbrt (+ (* h1 h2) (* (- h1) h1))) (* (* (+ (* h1 h2) (* (- h1) h1)) (+ (* h1 h2) (* (- h1) h1))) (+ (* h1 h2) (* (- h1) h1))) (sqrt (+ (* h1 h2) (* (- h1) h1))) (sqrt (+ (* h1 h2) (* (- h1) h1))) (+ (pow (* h1 h2) 3) (pow (* (- h1) h1) 3)) (+ (* (* h1 h2) (* h1 h2)) (- (* (* (- h1) h1) (* (- h1) h1)) (* (* h1 h2) (* (- h1) h1)))) (- (* (* h1 h2) (* h1 h2)) (* (* (- h1) h1) (* (- h1) h1))) (- (* h1 h2) (* (- h1) h1)) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 h1) (pow h1 2)) (- (* h2 h1) (pow h1 2)) (- (* h2 h1) (pow h1 2)) 0.562 * * [simplify]: iteration 0 : 195 enodes (cost 273 ) 0.567 * * [simplify]: iteration 1 : 946 enodes (cost 213 ) 0.590 * * [simplify]: iteration 2 : 5001 enodes (cost 199 ) 0.592 * [simplify]: Simplified to: (* (* y (- 1.0 y)) x) (log (* x (+ (* y 1.0) (* (- y) y)))) (log (* x (+ (* y 1.0) (* (- y) y)))) (pow (exp x) (* y (- 1.0 y))) (pow (* (* y (- 1.0 y)) x) 3) (* (cbrt (* x (+ (* y 1.0) (* (- y) y)))) (cbrt (* x (+ (* y 1.0) (* (- y) y))))) (cbrt (* x (+ (* y 1.0) (* (- y) y)))) (pow (* (* y (- 1.0 y)) x) 3) (sqrt (* x (+ (* y 1.0) (* (- y) y)))) (sqrt (* x (+ (* y 1.0) (* (- y) y)))) (* (sqrt x) (sqrt (+ (* y 1.0) (* (- y) y)))) (* (sqrt x) (sqrt (+ (* y 1.0) (* (- y) y)))) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* (cbrt (+ (* y 1.0) (* (- y) y))) (cbrt (+ (* y 1.0) (* (- y) y))))) (* x (sqrt (+ (* y 1.0) (* (- y) y)))) x (* (* y (- 1.0 y)) (cbrt x)) (* (* y (- 1.0 y)) (sqrt x)) (* (* y (- 1.0 y)) x) (* x (+ (pow (* y 1.0) 3) (pow (* (- y) y) 3))) (* (* x (* y (+ 1.0 y))) (* y (- 1.0 y))) (pow (exp y) (- 1.0 y)) (log (- (* 1.0 y) (pow y 2))) (pow (exp y) (- 1.0 y)) (* (cbrt (+ (* y 1.0) (* (- y) y))) (cbrt (+ (* y 1.0) (* (- y) y)))) (cbrt (+ (* y 1.0) (* (- y) y))) (pow (* y (- 1.0 y)) 3) (sqrt (+ (* y 1.0) (* (- y) y))) (sqrt (+ (* y 1.0) (* (- y) y))) (+ (pow (* y 1.0) 3) (pow (* (- y) y) 3)) (* y (+ (* 1.0 (* y 1.0)) (+ (pow y 3) (* (* y 1.0) y)))) (* (pow y 2) (- (* 1.0 1.0) (pow y 2))) (* y (+ 1.0 y)) (* (* y (- 1.0 y)) x) (* (* y (- 1.0 y)) x) (* (* y (- 1.0 y)) x) (* y (- 1.0 y)) (* y (- 1.0 y)) (* y (- 1.0 y)) 0.592 * * * [progress]: adding candidates to table 0.667 * * [progress]: iteration 4 / 4 0.667 * * * [progress]: picking best candidate 0.671 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.678 * * * [progress]: generating rewritten candidates 0.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.706 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.791 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.797 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.807 * * * [progress]: generating series expansions 0.807 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.807 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in (x y) around 0 0.807 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in y 0.807 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.807 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.807 * [taylor]: Taking taylor expansion of 1.0 in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (* x y) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in x 0.810 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (* x y) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in x 0.811 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in x 0.811 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.811 * [taylor]: Taking taylor expansion of (* x y) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of y in x 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.812 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) y) in y 0.812 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.812 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.812 * [taylor]: Taking taylor expansion of 1.0 in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [taylor]: Taking taylor expansion of 0 in y 0.830 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.853 * [taylor]: Taking taylor expansion of (* x y) in y 0.854 * [taylor]: Taking taylor expansion of x in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.854 * [taylor]: Taking taylor expansion of 1.0 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.856 * [taylor]: Taking taylor expansion of (* x y) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in x 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.856 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.857 * [taylor]: Taking taylor expansion of (* x y) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in x 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 y))) (/ 1 y)) in y 0.858 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.858 * [taylor]: Taking taylor expansion of 1.0 in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in (x y) around 0 0.877 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.877 * [taylor]: Taking taylor expansion of (* x y) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 1.0 in y 0.879 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.879 * [taylor]: Taking taylor expansion of (* x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in x 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.879 * [taylor]: Taking taylor expansion of (* x y) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 y) 1.0)) (/ 1 y)) in y 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.880 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.880 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of 1.0 in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.899 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.899 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.899 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.899 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.899 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.899 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (* x y) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.900 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.900 * [taylor]: Taking taylor expansion of 1.0 in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.909 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.909 * [taylor]: Taking taylor expansion of 1.0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (* x y) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (* x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.911 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (* x y) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of y in x 0.911 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.911 * [taylor]: Taking taylor expansion of 1.0 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.929 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 1.0 in y 0.930 * [taylor]: Taking taylor expansion of (* x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.930 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (* x y) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of 1.0 in x 0.931 * [taylor]: Taking taylor expansion of (* x y) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 1.0 in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.943 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 y)) in (y) around 0 0.943 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.943 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.943 * [taylor]: Taking taylor expansion of 1.0 in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.945 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.945 * [taylor]: Taking taylor expansion of 1.0 in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.954 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.954 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.954 * [taylor]: Taking taylor expansion of 1.0 in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.956 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.956 * [taylor]: Taking taylor expansion of 1.0 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.963 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 1.0 in y 0.964 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of 1.0 in y 0.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.971 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 y)) in (y) around 0 0.971 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.971 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.971 * [taylor]: Taking taylor expansion of 1.0 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.973 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.973 * [taylor]: Taking taylor expansion of 1.0 in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.982 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.982 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.982 * [taylor]: Taking taylor expansion of 1.0 in y 0.982 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.983 * [taylor]: Taking taylor expansion of 1.0 in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.991 * [taylor]: Taking taylor expansion of y in y 0.991 * [taylor]: Taking taylor expansion of 1.0 in y 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of 1.0 in y 0.999 * * * [progress]: simplifying candidates 1.000 * [simplify]: Simplifying using # : (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y))) (+ (+ (log x) (log y)) (log (sqrt (- 1.0 y)))) (+ (log (* x y)) (log (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (exp (* (* x y) (sqrt (- 1.0 y)))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (cbrt (* (* x y) (sqrt (- 1.0 y)))) (cbrt (* (* x y) (sqrt (- 1.0 y))))) (cbrt (* (* x y) (sqrt (- 1.0 y)))) (* (* (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* x y) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt 1)) (* (* x y) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* x y) (sqrt 1)) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* (* x y) 1) (* y (sqrt (- 1.0 y))) (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (+ (+ (+ (log x) (log y)) (log (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (+ (+ (log (* x y)) (log (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (+ (log (* (* x y) (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (log (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (exp (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (sqrt (+ 1.0 y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ 1.0 y)) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt 1)) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt 1)) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) 1) (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) (/ 1 2) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) (/ 1 2) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (- (* x (* (sqrt 1.0) y)) (+ (* 1/2 (/ (* x (pow y 2)) (sqrt 1.0))) (* 1/8 (/ (* x (pow y 3)) (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (* x y))))))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 1.001 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (sqrt (- h2 h1))) (* (* h0 h1) (sqrt (- h2 h1))) (+ (+ (log h0) (log h1)) (log (sqrt (- h2 h1)))) (+ (log (* h0 h1)) (log (sqrt (- h2 h1)))) (log (* (* h0 h1) (sqrt (- h2 h1)))) (exp (* (* h0 h1) (sqrt (- h2 h1)))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (cbrt (* (* h0 h1) (sqrt (- h2 h1)))) (cbrt (* (* h0 h1) (sqrt (- h2 h1))))) (cbrt (* (* h0 h1) (sqrt (- h2 h1)))) (* (* (* (* h0 h1) (sqrt (- h2 h1))) (* (* h0 h1) (sqrt (- h2 h1)))) (* (* h0 h1) (sqrt (- h2 h1)))) (sqrt (* (* h0 h1) (sqrt (- h2 h1)))) (sqrt (* (* h0 h1) (sqrt (- h2 h1)))) (* (* h0 h1) (* (cbrt (sqrt (- h2 h1))) (cbrt (sqrt (- h2 h1))))) (* (* h0 h1) (sqrt (* (cbrt (- h2 h1)) (cbrt (- h2 h1))))) (* (* h0 h1) (sqrt (sqrt (- h2 h1)))) (* (* h0 h1) (sqrt 1)) (* (* h0 h1) (sqrt (+ (sqrt h2) (sqrt h1)))) (* (* h0 h1) (sqrt 1)) (* (* h0 h1) (sqrt (sqrt (- h2 h1)))) (* (* h0 h1) 1) (* h1 (sqrt (- h2 h1))) (* (* h0 h1) (sqrt (- (pow h2 3) (pow h1 3)))) (* (* h0 h1) (sqrt (- (* h2 h2) (* h1 h1)))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (+ (+ (+ (log h0) (log h1)) (log (sqrt (- h2 h1)))) (log (sqrt (- h2 h1)))) (+ (+ (log (* h0 h1)) (log (sqrt (- h2 h1)))) (log (sqrt (- h2 h1)))) (+ (log (* (* h0 h1) (sqrt (- h2 h1)))) (log (sqrt (- h2 h1)))) (log (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (exp (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* (* (* h0 h1) (sqrt (- h2 h1))) (* (* h0 h1) (sqrt (- h2 h1)))) (* (* h0 h1) (sqrt (- h2 h1)))) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (cbrt (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (cbrt (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1))))) (cbrt (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (sqrt (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (sqrt (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- h2 h1)))) (* (* (* h0 h1) (sqrt (- (pow h2 3) (pow h1 3)))) (sqrt (- (pow h2 3) (pow h1 3)))) (* (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1)))) (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1))))) (* (* (* h0 h1) (sqrt (- (pow h2 3) (pow h1 3)))) (sqrt (- (* h2 h2) (* h1 h1)))) (* (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1)))) (sqrt (+ h2 h1))) (* (* (* h0 h1) (sqrt (- (* h2 h2) (* h1 h1)))) (sqrt (- (pow h2 3) (pow h1 3)))) (* (sqrt (+ h2 h1)) (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1))))) (* (* (* h0 h1) (sqrt (- (* h2 h2) (* h1 h1)))) (sqrt (- (* h2 h2) (* h1 h1)))) (* (sqrt (+ h2 h1)) (sqrt (+ h2 h1))) (* (* (* h0 h1) (sqrt (- h2 h1))) (* (cbrt (sqrt (- h2 h1))) (cbrt (sqrt (- h2 h1))))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (* (cbrt (- h2 h1)) (cbrt (- h2 h1))))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1)))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt 1)) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (+ (sqrt h2) (sqrt h1)))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt 1)) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1)))) (* (* (* h0 h1) (sqrt (- h2 h1))) 1) (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- (pow h2 3) (pow h1 3)))) (* (* (* h0 h1) (sqrt (- h2 h1))) (sqrt (- (* h2 h2) (* h1 h1)))) (* (* (* h0 h1) (sqrt (- (pow h2 3) (pow h1 3)))) (sqrt (- h2 h1))) (* (* (* h0 h1) (sqrt (- (* h2 h2) (* h1 h1)))) (sqrt (- h2 h1))) (log (sqrt (- h2 h1))) (exp (sqrt (- h2 h1))) (* (cbrt (sqrt (- h2 h1))) (cbrt (sqrt (- h2 h1)))) (cbrt (sqrt (- h2 h1))) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (sqrt (* (cbrt (- h2 h1)) (cbrt (- h2 h1)))) (sqrt (cbrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (sqrt 1) (sqrt (- h2 h1)) (sqrt (+ (sqrt h2) (sqrt h1))) (sqrt (- (sqrt h2) (sqrt h1))) (sqrt 1) (sqrt (- h2 h1)) (sqrt (- (pow h2 3) (pow h1 3))) (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1)))) (sqrt (- (* h2 h2) (* h1 h1))) (sqrt (+ h2 h1)) (/ 1 2) (sqrt (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (log (sqrt (- h2 h1))) (exp (sqrt (- h2 h1))) (* (cbrt (sqrt (- h2 h1))) (cbrt (sqrt (- h2 h1)))) (cbrt (sqrt (- h2 h1))) (* (* (sqrt (- h2 h1)) (sqrt (- h2 h1))) (sqrt (- h2 h1))) (sqrt (* (cbrt (- h2 h1)) (cbrt (- h2 h1)))) (sqrt (cbrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (sqrt 1) (sqrt (- h2 h1)) (sqrt (+ (sqrt h2) (sqrt h1))) (sqrt (- (sqrt h2) (sqrt h1))) (sqrt 1) (sqrt (- h2 h1)) (sqrt (- (pow h2 3) (pow h1 3))) (sqrt (+ (* h2 h2) (+ (* h1 h1) (* h2 h1)))) (sqrt (- (* h2 h2) (* h1 h1))) (sqrt (+ h2 h1)) (/ 1 2) (sqrt (sqrt (- h2 h1))) (sqrt (sqrt (- h2 h1))) (- (* h0 (* (sqrt h2) h1)) (+ (* 1/2 (/ (* h0 (pow h1 2)) (sqrt h2))) (* 1/8 (/ (* h0 (pow h1 3)) (pow (sqrt h2) 3))))) (- (+ (* h3 h0) (- (+ (* h3 (/ h0 h1)) (- (* h3 (* h0 h1))))))) (- (+ (* h3 h0) (- (+ (* h3 (/ h0 h1)) (- (* h3 (* h0 h1))))))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (* h2 (* h0 h1)) (* h0 (pow h1 2))) (- (sqrt h2) (+ (* 1/8 (/ (pow h1 2) (pow (sqrt h2) 3))) (* 1/2 (/ h1 (sqrt h2))))) (- (+ (* h3 (/ 1 h1)) (- (+ (* h3 (/ 1 (pow h1 2))) (- h3))))) (- (+ (* h3 (/ 1 h1)) (- (+ (* h3 (/ 1 (pow h1 2))) (- h3))))) (- (sqrt h2) (+ (* 1/8 (/ (pow h1 2) (pow (sqrt h2) 3))) (* 1/2 (/ h1 (sqrt h2))))) (- (+ (* h3 (/ 1 h1)) (- (+ (* h3 (/ 1 (pow h1 2))) (- h3))))) (- (+ (* h3 (/ 1 h1)) (- (+ (* h3 (/ 1 (pow h1 2))) (- h3))))) 1.006 * * [simplify]: iteration 0 : 398 enodes (cost 694 ) 1.014 * * [simplify]: iteration 1 : 1909 enodes (cost 593 ) 1.050 * * [simplify]: iteration 2 : 5002 enodes (cost 569 ) 1.054 * [simplify]: Simplified to: (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y))) (log (* (* x y) (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (exp (* (* x y) (sqrt (- 1.0 y)))) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (* (cbrt (* (* x y) (sqrt (- 1.0 y)))) (cbrt (* (* x y) (sqrt (- 1.0 y))))) (cbrt (* (* x y) (sqrt (- 1.0 y)))) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* x (* y (fabs (cbrt (- 1.0 y))))) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* x y) (* (* x y) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* x y) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* x y) (* y (sqrt (- 1.0 y))) (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (pow (exp (* x y)) (- 1.0 y)) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (* (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (- (pow 1.0 3) (pow y 3)) (* x y)) (+ (* y (+ y 1.0)) (* 1.0 1.0)) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y) (* (* (* x y) (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* x y) (* (sqrt (- 1.0 y)) (fabs (cbrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (- 1.0 y) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (pow (sqrt (- 1.0 y)) 3) (fabs (cbrt (- 1.0 y))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) 1 (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) 1 (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) 1/2 (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (pow (sqrt (- 1.0 y)) 3) (fabs (cbrt (- 1.0 y))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) 1 (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) 1 (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) 1/2 (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (- (* x (* (sqrt 1.0) y)) (+ (* 1/2 (/ (* x (pow y 2)) (sqrt 1.0))) (* 1/8 (/ (* x (pow y 3)) (pow (sqrt 1.0) 3))))) (* +nan.0 (+ (- x) (- (/ x y) (* x y)))) (* +nan.0 (+ (- x) (- (/ x y) (* x y)))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (/ (- +nan.0) y) (/ +nan.0 (pow y 2))) +nan.0) (- (+ (/ (- +nan.0) y) (/ +nan.0 (pow y 2))) +nan.0) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (/ (- +nan.0) y) (/ +nan.0 (pow y 2))) +nan.0) (- (+ (/ (- +nan.0) y) (/ +nan.0 (pow y 2))) +nan.0) 1.054 * * * [progress]: adding candidates to table 1.248 * [progress]: [Phase 3 of 3] Extracting. 1.248 * * [regime]: Finding splitpoints for: (# # # # # #) 1.249 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) (- 1.0 y)) y x) 1.249 * * * * [regimes]: Trying to branch on (* (* x y) (- 1.0 y)) from (# # # # # #) 1.275 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.296 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.321 * * * [regime]: Found split indices: #