18.773 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (* x (+ y 1.0)) 0.013 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h2)) 0.016 * * [simplify]: iteration 0 : 13 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 15 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 15 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (* x (+ y 1.0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (* x (+ y 1.0)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in y 0.057 * [taylor]: Taking taylor expansion of -1 in y 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.058 * [taylor]: Taking taylor expansion of -1 in x 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.076 * * * [progress]: simplifying candidates 0.076 * [simplify]: Simplifying using # : (* x (+ y 1.0)) (+ (log x) (log (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (* (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (* (* (* x (+ y 1.0)) (* x (+ y 1.0))) (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* y x) (* 1.0 x) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) (* x 1) (* x 1) (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.077 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h2)) (+ (log h0) (log (+ h1 h2))) (log (* h0 (+ h1 h2))) (exp (* h0 (+ h1 h2))) (* (* (* h0 h0) h0) (* (* (+ h1 h2) (+ h1 h2)) (+ h1 h2))) (* (cbrt (* h0 (+ h1 h2))) (cbrt (* h0 (+ h1 h2)))) (cbrt (* h0 (+ h1 h2))) (* (* (* h0 (+ h1 h2)) (* h0 (+ h1 h2))) (* h0 (+ h1 h2))) (sqrt (* h0 (+ h1 h2))) (sqrt (* h0 (+ h1 h2))) (* (sqrt h0) (sqrt (+ h1 h2))) (* (sqrt h0) (sqrt (+ h1 h2))) (* h0 h1) (* h0 h2) (* h1 h0) (* h2 h0) (* h0 (* (cbrt (+ h1 h2)) (cbrt (+ h1 h2)))) (* h0 (sqrt (+ h1 h2))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h2)) (* (sqrt h0) (+ h1 h2)) (* h0 (+ h1 h2)) (* h0 (+ (pow h1 3) (pow h2 3))) (* h0 (- (* h1 h1) (* h2 h2))) (+ (* h2 h0) (* h0 h1)) (+ (* h2 h0) (* h0 h1)) (+ (* h2 h0) (* h0 h1)) 0.080 * * [simplify]: iteration 0 : 126 enodes (cost 86 ) 0.083 * * [simplify]: iteration 1 : 534 enodes (cost 76 ) 0.094 * * [simplify]: iteration 2 : 2147 enodes (cost 76 ) 0.128 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.129 * [simplify]: Simplified to: (* x (+ y 1.0)) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* x y) (* x 1.0) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) x x (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (* x (+ y 1.0)) (* x (+ y 1.0)) (* x (+ y 1.0)) 0.129 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.169 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.177 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in y 0.177 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.177 * [taylor]: Taking taylor expansion of 1.0 in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of (* x y) in y 0.177 * [taylor]: Taking taylor expansion of x in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in x 0.180 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (* x y) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 1.0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.188 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.188 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.188 * [taylor]: Taking taylor expansion of 1.0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.188 * [taylor]: Taking taylor expansion of (* x y) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.188 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.188 * [taylor]: Taking taylor expansion of (* x y) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.189 * [taylor]: Taking taylor expansion of (* x y) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 1.0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.200 * [taylor]: Taking taylor expansion of (* x y) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * * * [progress]: simplifying candidates 0.215 * [simplify]: Simplifying using # : (* (exp (* x y)) (exp (* x 1.0))) (log (+ (* x y) (* x 1.0))) (exp (+ (* x y) (* x 1.0))) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (* (* (+ (* x y) (* x 1.0)) (+ (* x y) (* x 1.0))) (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (+ (* (* x y) (* x y)) (- (* (* x 1.0) (* x 1.0)) (* (* x y) (* x 1.0)))) (- (* (* x y) (* x y)) (* (* x 1.0) (* x 1.0))) (- (* x y) (* x 1.0)) (+ y 1.0) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.216 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h1)) (exp (* h0 h2))) (log (+ (* h0 h1) (* h0 h2))) (exp (+ (* h0 h1) (* h0 h2))) (* (cbrt (+ (* h0 h1) (* h0 h2))) (cbrt (+ (* h0 h1) (* h0 h2)))) (cbrt (+ (* h0 h1) (* h0 h2))) (* (* (+ (* h0 h1) (* h0 h2)) (+ (* h0 h1) (* h0 h2))) (+ (* h0 h1) (* h0 h2))) (sqrt (+ (* h0 h1) (* h0 h2))) (sqrt (+ (* h0 h1) (* h0 h2))) (+ (pow (* h0 h1) 3) (pow (* h0 h2) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h0 h2) (* h0 h2)) (* (* h0 h1) (* h0 h2)))) (- (* (* h0 h1) (* h0 h1)) (* (* h0 h2) (* h0 h2))) (- (* h0 h1) (* h0 h2)) (+ h1 h2) (+ (* h2 h0) (* h0 h1)) (+ (* h2 h0) (* h0 h1)) (+ (* h2 h0) (* h0 h1)) 0.219 * * [simplify]: iteration 0 : 99 enodes (cost 73 ) 0.222 * * [simplify]: iteration 1 : 368 enodes (cost 62 ) 0.232 * * [simplify]: iteration 2 : 1325 enodes (cost 60 ) 0.263 * * [simplify]: iteration 3 : 3944 enodes (cost 60 ) 0.357 * * [simplify]: iteration 4 : 5002 enodes (cost 60 ) 0.358 * [simplify]: Simplified to: (pow (exp x) (+ y 1.0)) (log (+ (* x y) (* x 1.0))) (pow (exp x) (+ y 1.0)) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (* x (+ (* y (* x y)) (* 1.0 (* x (- 1.0 y))))) (* (* x x) (- (* y y) (* 1.0 1.0))) (* x (- y 1.0)) (+ y 1.0) (* x (+ y 1.0)) (* x (+ y 1.0)) (* x (+ y 1.0)) 0.358 * * * [progress]: adding candidates to table 0.381 * [progress]: [Phase 3 of 3] Extracting. 0.381 * * [regime]: Finding splitpoints for: (# #) 0.382 * * * [regime-changes]: Trying 4 branch expressions: ((+ y 1.0) (* x (+ y 1.0)) y x) 0.382 * * * * [regimes]: Trying to branch on (+ y 1.0) from (# #) 0.393 * * * * [regimes]: Trying to branch on (* x (+ y 1.0)) from (# #) 0.404 * * * * [regimes]: Trying to branch on y from (# #) 0.415 * * * * [regimes]: Trying to branch on x from (# #) 0.425 * * * [regime]: Found split indices: #