21.996 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (- (/ x (* y y)) 3.0) 0.023 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (- (/ x (* y y)) 3.0) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.037 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.044 * [approximate]: Approximating (/ x (pow y 2)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in y 0.053 * [approximate]: Approximating (/ (pow y 2) x) in (x y) around 0 0.053 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.055 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.057 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.060 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in y 0.060 * [approximate]: Approximating (* -1 (/ (pow y 2) x)) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in y 0.074 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.075 * [approximate]: Approximating (- (/ x (pow y 2)) 3.0) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.077 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.079 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.081 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.085 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.088 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in y 0.089 * [approximate]: Approximating (- (/ (pow y 2) x) 3.0) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in y 0.092 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in y 0.095 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in y 0.098 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in y 0.103 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in y 0.103 * [approximate]: Approximating (neg (+ (/ (pow y 2) x) 3.0)) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in y 0.106 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in y 0.109 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in y 0.113 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in y 0.117 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in y 0.118 * * * [progress]: simplifying candidates 0.119 * [simplify]: Simplifying using # : (- (log x) (+ (log y) (log y))) (- (log x) (log (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (/ (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (/ (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (* (* (/ x (* y y)) (/ x (* y y))) (/ x (* y y))) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (neg x) (neg (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (/ (exp (/ x (* y y))) (exp 3.0)) (log (- (/ x (* y y)) 3.0)) (exp (- (/ x (* y y)) 3.0)) (* (cbrt (- (/ x (* y y)) 3.0)) (cbrt (- (/ x (* y y)) 3.0))) (cbrt (- (/ x (* y y)) 3.0)) (* (* (- (/ x (* y y)) 3.0) (- (/ x (* y y)) 3.0)) (- (/ x (* y y)) 3.0)) (sqrt (- (/ x (* y y)) 3.0)) (sqrt (- (/ x (* y y)) 3.0)) (- (pow (/ x (* y y)) 3) (pow 3.0 3)) (+ (* (/ x (* y y)) (/ x (* y y))) (+ (* 3.0 3.0) (* (/ x (* y y)) 3.0))) (neg 3.0) (- (* (/ x (* y y)) (/ x (* y y))) (* 3.0 3.0)) (+ (/ x (* y y)) 3.0) (+ (sqrt (/ x (* y y))) (sqrt 3.0)) (- (sqrt (/ x (* y y))) (sqrt 3.0)) (+ (/ (sqrt x) y) (sqrt 3.0)) (- (/ (sqrt x) y) (sqrt 3.0)) (- (/ x (* y y)) 3.0) (neg 3.0) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) 0.122 * * [simplify]: iteration 0 : 159 enodes (cost 182 ) 0.125 * * [simplify]: iteration 1 : 465 enodes (cost 164 ) 0.132 * * [simplify]: iteration 2 : 1357 enodes (cost 162 ) 0.155 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.157 * [simplify]: Simplified to: (log (/ x (* y y))) (log (/ x (* y y))) (log (/ x (* y y))) (exp (/ x (* y y))) (pow (/ x (* y y)) 3) (pow (/ x (* y y)) 3) (* (cbrt (/ x (* y y))) (cbrt (/ x (* y y)))) (cbrt (/ x (* y y))) (pow (/ x (* y y)) 3) (sqrt (/ x (* y y))) (sqrt (/ x (* y y))) (neg x) (neg (* y y)) (/ (* (cbrt x) (cbrt x)) y) (/ (cbrt x) y) (/ (sqrt x) y) (/ (sqrt x) y) (/ 1 y) (/ x y) (/ 1 (* y y)) (/ (* y y) x) (/ x y) (/ (* y y) (cbrt x)) (/ (* y y) (sqrt x)) (/ (* y y) x) (exp (- (/ x (* y y)) 3.0)) (log (- (/ x (* y y)) 3.0)) (exp (- (/ x (* y y)) 3.0)) (* (cbrt (- (/ x (* y y)) 3.0)) (cbrt (- (/ x (* y y)) 3.0))) (cbrt (- (/ x (* y y)) 3.0)) (pow (- (/ x (pow y 2)) 3.0) 3) (sqrt (- (/ x (* y y)) 3.0)) (sqrt (- (/ x (* y y)) 3.0)) (- (pow (/ x (* y y)) 3) (pow 3.0 3)) (+ (* (/ x (* y y)) (+ (/ x (* y y)) 3.0)) (* 3.0 3.0)) (neg 3.0) (+ (neg (* 3.0 3.0)) (/ x (/ (pow y 4) x))) (+ (/ x (* y y)) 3.0) (+ (sqrt (/ x (* y y))) (sqrt 3.0)) (- (sqrt (/ x (* y y))) (sqrt 3.0)) (+ (/ (sqrt x) y) (sqrt 3.0)) (- (/ (sqrt x) y) (sqrt 3.0)) (- (/ x (pow y 2)) 3.0) (neg 3.0) (/ x (* y y)) (/ x (* y y)) (/ x (* y y)) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) 0.157 * * * [progress]: adding candidates to table 0.237 * * [progress]: iteration 2 / 4 0.237 * * * [progress]: picking best candidate 0.255 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.271 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.280 * * * [progress]: generating series expansions 0.280 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.280 * [approximate]: Approximating (/ x (pow y 2)) in (y x) around 0 0.281 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.283 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (/ x (pow y 2)) in x 0.287 * [approximate]: Approximating (/ (pow y 2) x) in (y x) around 0 0.288 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.289 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.290 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.291 * [taylor]: Taking taylor expansion of (/ (pow y 2) x) in x 0.292 * [approximate]: Approximating (* -1 (/ (pow y 2) x)) in (y x) around 0 0.293 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.295 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.297 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.299 * [taylor]: Taking taylor expansion of (* -1 (/ (pow y 2) x)) in x 0.300 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.300 * [approximate]: Approximating (- (/ x (pow y 2)) 3.0) in (y x) around 0 0.301 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in x 0.306 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in x 0.310 * [taylor]: Taking taylor expansion of (- (/ x (pow y 2)) 3.0) in x 0.311 * [approximate]: Approximating (- (/ (pow y 2) x) 3.0) in (y x) around 0 0.313 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in x 0.314 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in x 0.315 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in x 0.317 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in x 0.319 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) x) 3.0) in x 0.319 * [approximate]: Approximating (neg (+ (/ (pow y 2) x) 3.0)) in (y x) around 0 0.321 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in x 0.322 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in x 0.322 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in x 0.324 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in x 0.327 * [taylor]: Taking taylor expansion of (neg (+ (/ (pow y 2) x) 3.0)) in x 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (* (/ 1 y) (/ x y)) (+ (neg (log y)) (- (log x) (log y))) (+ (neg (log y)) (log (/ x y))) (+ (- 0 (log y)) (- (log x) (log y))) (+ (- 0 (log y)) (log (/ x y))) (+ (- (log 1) (log y)) (- (log x) (log y))) (+ (- (log 1) (log y)) (log (/ x y))) (+ (log (/ 1 y)) (- (log x) (log y))) (+ (log (/ 1 y)) (log (/ x y))) (log (* (/ 1 y) (/ x y))) (exp (* (/ 1 y) (/ x y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* x x) x) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* x x) x) (* (* y y) y))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (* (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) (* 1 x) (* y y) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ x y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (sqrt (/ x y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 (sqrt y)) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (* (/ 1 y) (/ (* (cbrt x) (cbrt x)) 1)) (* (/ 1 y) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ (sqrt x) (sqrt y))) (* (/ 1 y) (/ (sqrt x) 1)) (* (/ 1 y) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 y) (/ 1 (sqrt y))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) x) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (* (/ (cbrt 1) (cbrt y)) (/ x y)) (* (/ (cbrt 1) (sqrt y)) (/ x y)) (* (/ (cbrt 1) y) (/ x y)) (* (/ (sqrt 1) (cbrt y)) (/ x y)) (* (/ (sqrt 1) (sqrt y)) (/ x y)) (* (/ (sqrt 1) y) (/ x y)) (* (/ 1 (cbrt y)) (/ x y)) (* (/ 1 (sqrt y)) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y)) (* (/ 1 y) x) (* 1 (/ x y)) (/ (exp (* (/ 1 y) (/ x y))) (exp 3.0)) (log (- (* (/ 1 y) (/ x y)) 3.0)) (exp (- (* (/ 1 y) (/ x y)) 3.0)) (* (cbrt (- (* (/ 1 y) (/ x y)) 3.0)) (cbrt (- (* (/ 1 y) (/ x y)) 3.0))) (cbrt (- (* (/ 1 y) (/ x y)) 3.0)) (* (* (- (* (/ 1 y) (/ x y)) 3.0) (- (* (/ 1 y) (/ x y)) 3.0)) (- (* (/ 1 y) (/ x y)) 3.0)) (sqrt (- (* (/ 1 y) (/ x y)) 3.0)) (sqrt (- (* (/ 1 y) (/ x y)) 3.0)) (- (pow (* (/ 1 y) (/ x y)) 3) (pow 3.0 3)) (+ (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (+ (* 3.0 3.0) (* (* (/ 1 y) (/ x y)) 3.0))) (neg 3.0) (- (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* 3.0 3.0)) (+ (* (/ 1 y) (/ x y)) 3.0) (neg 3.0) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) 0.337 * * [simplify]: iteration 0 : 372 enodes (cost 388 ) 0.345 * * [simplify]: iteration 1 : 1750 enodes (cost 333 ) 0.377 * * [simplify]: iteration 2 : 5001 enodes (cost 289 ) 0.379 * [simplify]: Simplified to: (/ x (pow y 2)) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (log (/ x (pow y 2))) (exp (/ x (pow y 2))) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (pow (/ (/ x y) y) 3) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y))) (pow (/ (/ x y) y) 3) (sqrt (* (/ 1 y) (/ x y))) (sqrt (* (/ 1 y) (/ x y))) x (pow y 2) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (sqrt (/ x y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (* (sqrt (/ 1 y)) (/ (sqrt x) (sqrt y))) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt (/ x y)) (pow y 1/2)) (/ (sqrt x) y) (/ (sqrt x) y) (* (/ 1 y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (* (/ 1 y) (sqrt (/ x y))) (/ (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) y) (/ (/ (* (cbrt x) (cbrt x)) (sqrt y)) y) (/ (* (cbrt x) (cbrt x)) y) (/ (/ (sqrt x) (* (cbrt y) (cbrt y))) y) (/ (sqrt x) (* (sqrt y) y)) (/ (sqrt x) y) (/ (/ 1 y) (* (cbrt y) (cbrt y))) (/ (/ 1 y) (sqrt y)) (/ 1 y) (/ 1 y) (/ x y) (* (cbrt (/ 1 y)) (/ x y)) (* (sqrt (/ 1 y)) (/ x y)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ (/ x y) (cbrt y)) (/ (/ x y) (sqrt y)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (/ x y) (/ x y) (exp (- (/ x (pow y 2)) 3.0)) (log (- (* (/ 1 y) (/ x y)) 3.0)) (exp (- (/ x (pow y 2)) 3.0)) (* (cbrt (- (* (/ 1 y) (/ x y)) 3.0)) (cbrt (- (* (/ 1 y) (/ x y)) 3.0))) (cbrt (- (* (/ 1 y) (/ x y)) 3.0)) (pow (- (/ x (pow y 2)) 3.0) 3) (sqrt (- (* (/ 1 y) (/ x y)) 3.0)) (sqrt (- (* (/ 1 y) (/ x y)) 3.0)) (- (pow (* (/ 1 y) (/ x y)) 3) (pow 3.0 3)) (+ (* (/ x (pow y 2)) (+ (/ x (pow y 2)) 3.0)) (* 3.0 3.0)) (neg 3.0) (* (+ (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0)) (+ (/ x (pow y 2)) 3.0) (neg 3.0) (/ x (pow y 2)) (/ x (pow y 2)) (/ x (pow y 2)) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) (- (/ x (pow y 2)) 3.0) 0.380 * * * [progress]: adding candidates to table 0.531 * * [progress]: iteration 3 / 4 0.531 * * * [progress]: picking best candidate 0.546 * * * * [pick]: Picked # 0.547 * * * [progress]: localizing error 0.556 * * * [progress]: generating rewritten candidates 0.557 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.562 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.567 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.572 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.582 * * * [progress]: generating series expansions 0.582 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.582 * [approximate]: Approximating (pow (/ x (pow y 2)) 1/3) in (y x) around 0 0.585 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.589 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.598 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.611 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.611 * [approximate]: Approximating (pow (/ (pow y 2) x) 1/3) in (y x) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.618 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.626 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.637 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.638 * [approximate]: Approximating (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in (y x) around 0 0.644 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.650 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.665 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.681 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.681 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.681 * [approximate]: Approximating (pow (/ x (pow y 2)) 1/3) in (y x) around 0 0.684 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.688 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.697 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.710 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.710 * [approximate]: Approximating (pow (/ (pow y 2) x) 1/3) in (y x) around 0 0.712 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.716 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.724 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.741 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.741 * [approximate]: Approximating (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in (y x) around 0 0.748 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.754 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.764 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.779 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.780 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.780 * [approximate]: Approximating (pow (/ x (pow y 2)) 1/3) in (y x) around 0 0.782 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.787 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.795 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.808 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 0.808 * [approximate]: Approximating (pow (/ (pow y 2) x) 1/3) in (y x) around 0 0.811 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.815 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.828 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.840 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 0.840 * [approximate]: Approximating (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in (y x) around 0 0.846 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.852 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.863 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.878 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 0.878 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.879 * [approximate]: Approximating (pow (/ (pow x 2) (pow y 4)) 1/3) in (y x) around 0 0.883 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 4)) 1/3) in x 0.888 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 4)) 1/3) in x 0.898 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 4)) 1/3) in x 0.919 * [taylor]: Taking taylor expansion of (pow (/ (pow x 2) (pow y 4)) 1/3) in x 0.919 * [approximate]: Approximating (pow (/ (pow y 4) (pow x 2)) 1/3) in (y x) around 0 0.923 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 2)) 1/3) in x 0.928 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 2)) 1/3) in x 0.938 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 2)) 1/3) in x 0.953 * [taylor]: Taking taylor expansion of (pow (/ (pow y 4) (pow x 2)) 1/3) in x 0.953 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ (pow y 4) (pow x 2)) 1/3)) in (y x) around 0 0.962 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow y 4) (pow x 2)) 1/3)) in x 0.972 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow y 4) (pow x 2)) 1/3)) in x 0.991 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow y 4) (pow x 2)) 1/3)) in x 1.011 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow y 4) (pow x 2)) 1/3)) in x 1.012 * * * [progress]: simplifying candidates 1.014 * [simplify]: Simplifying using # : (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (* (/ 1 y) x)) (cbrt y) (cbrt (* 1 (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (* (/ 1 y) x)) (cbrt y) (cbrt (* 1 (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (* (/ 1 y) x)) (cbrt y) (cbrt (* 1 (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (+ 1/3 1/3) (+ 1 1) (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (+ 1 1) (+ (log (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y))))) (log (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (exp (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (* (* (/ 1 y) (/ x y)) (* (/ 1 y) (/ x y))) (* (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))))) (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (* (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (sqrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (sqrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (* (cbrt (* 1 x)) (cbrt (* 1 x))) (* (cbrt (* y y)) (cbrt (* y y))) (* (cbrt (* 1 x)) (cbrt (* (/ 1 y) x))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* 1 x)) (cbrt (* 1 (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* (/ 1 y) x)) (cbrt (* 1 x))) (* (cbrt y) (cbrt (* y y))) (* (cbrt (* (/ 1 y) x)) (cbrt (* (/ 1 y) x))) (* (cbrt y) (cbrt y)) (* (cbrt (* (/ 1 y) x)) (cbrt (* 1 (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (* 1 (/ x y))) (cbrt (* 1 x))) (* (cbrt y) (cbrt (* y y))) (* (cbrt (* 1 (/ x y))) (cbrt (* (/ 1 y) x))) (* (cbrt y) (cbrt y)) (* (cbrt (* 1 (/ x y))) (cbrt (* 1 (/ x y)))) (* (cbrt y) (cbrt y)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y)))))) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (* (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y))))) (* (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y))))) (* 1 1) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (* (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y))))) (* (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y))))) (* 2 1/3) (* 2 1) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (/ 1 y))) (* (cbrt (* (/ 1 y) (/ x y))) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y)))))) (* (cbrt (* (/ 1 y) (/ x y))) (sqrt (cbrt (* (/ 1 y) (/ x y))))) (* (cbrt (* (/ 1 y) (/ x y))) 1) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (* (sqrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* 1 x))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) x))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* 1 (/ x y)))) (* (cbrt (* 1 x)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* (/ 1 y) x)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* 1 (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (log (/ 1 x))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (log (/ 1 x))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (log (/ 1 x))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (* 2 (log x)) (* 4 (log y))))) (exp (* 1/3 (- (* 4 (log (/ 1 y))) (* 2 (log (/ 1 x)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (* 4 (log (/ -1 y))) (* 2 (log (/ -1 x))))))) 1.018 * * [simplify]: iteration 0 : 201 enodes (cost 673 ) 1.022 * * [simplify]: iteration 1 : 685 enodes (cost 596 ) 1.039 * * [simplify]: iteration 2 : 3458 enodes (cost 557 ) 1.118 * * [simplify]: iteration 3 : 5001 enodes (cost 549 ) 1.122 * [simplify]: Simplified to: (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (/ x y)) (cbrt y) (cbrt (/ x y)) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (/ (/ x y) y) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (/ x y)) (cbrt y) (cbrt (/ x y)) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (/ (/ x y) y) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (/ x y)) (cbrt y) (cbrt (/ x y)) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (/ (/ x y) y) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) 2/3 2 (/ (* (/ (/ x y) y) (/ x y)) y) (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 4) 2 (* 2 (log (cbrt (* (/ 1 y) (/ x y))))) (* 2 (log (cbrt (* (/ 1 y) (/ x y))))) (pow (exp 1) (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 4)) (/ (* (/ (/ x y) y) (/ x y)) y) (* (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))))) (cbrt (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))) (/ (* (/ (/ x y) y) (/ x y)) y) (fabs (cbrt (* (/ 1 y) (/ x y)))) (fabs (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* 1 x)) (cbrt (* 1 x))) (* (cbrt (* y y)) (cbrt (* y y))) (* (cbrt (* 1 x)) (cbrt (* 1 (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* 1 x)) (cbrt (* 1 (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (* 1 x)) (cbrt (* 1 (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y)) (* (cbrt (* 1 x)) (cbrt (* 1 (/ x y)))) (* (cbrt (* y y)) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y)) (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt y) (cbrt y)) (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (* (cbrt (/ x y)) (cbrt (/ x y))) (pow (cbrt (cbrt (* (/ 1 y) (/ x y)))) 4) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))) 1 (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 4) (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))) 2/3 2 (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (/ 1 y))) (pow (cbrt (cbrt (* (/ 1 y) (/ x y)))) 5) (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 3) (cbrt (* (/ 1 y) (/ x y))) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (pow (cbrt (cbrt (* (/ 1 y) (/ x y)))) 4) (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 3) (pow (sqrt (cbrt (* (/ 1 y) (/ x y)))) 4) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* 1 x))) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* 1 x))) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (* (cbrt (/ x y)) (cbrt (* (/ 1 y) (/ x y)))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (+ (* 2/3 (log x)) (* (log y) -4/3))) (exp (+ (* 2/3 (log x)) (* (log y) -4/3))) (* (pow (cbrt -1) 2) (exp (* 1/3 (- (* 4 (log (/ -1 y))) (* 2 (log (/ -1 x))))))) 1.122 * * * [progress]: adding candidates to table 1.471 * * [progress]: iteration 4 / 4 1.472 * * * [progress]: picking best candidate 1.488 * * * * [pick]: Picked # 1.488 * * * [progress]: localizing error 1.505 * * * [progress]: generating rewritten candidates 1.505 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.510 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.515 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 1.521 * * * [progress]: generating series expansions 1.521 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.522 * [approximate]: Approximating (pow (/ x (pow y 2)) 1/3) in (y x) around 0 1.524 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.529 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.538 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.551 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.551 * [approximate]: Approximating (pow (/ (pow y 2) x) 1/3) in (y x) around 0 1.554 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.557 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.565 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.577 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.577 * [approximate]: Approximating (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in (y x) around 0 1.589 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.595 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.605 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.620 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.621 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.621 * [approximate]: Approximating (pow (/ x (pow y 2)) 1/3) in (y x) around 0 1.623 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.628 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.636 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.648 * [taylor]: Taking taylor expansion of (pow (/ x (pow y 2)) 1/3) in x 1.649 * [approximate]: Approximating (pow (/ (pow y 2) x) 1/3) in (y x) around 0 1.651 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.655 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.668 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.680 * [taylor]: Taking taylor expansion of (pow (/ (pow y 2) x) 1/3) in x 1.681 * [approximate]: Approximating (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in (y x) around 0 1.686 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.692 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.702 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.717 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (pow y 2) x) 1/3)) in x 1.718 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.718 * [approximate]: Approximating (pow (/ x y) 1/3) in (x y) around 0 1.720 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 1.723 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 1.730 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 1.745 * [taylor]: Taking taylor expansion of (pow (/ x y) 1/3) in y 1.746 * [approximate]: Approximating (pow (/ y x) 1/3) in (x y) around 0 1.747 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.751 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.758 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.770 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.770 * [approximate]: Approximating (pow (/ y x) 1/3) in (x y) around 0 1.772 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.776 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.783 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.794 * [taylor]: Taking taylor expansion of (pow (/ y x) 1/3) in y 1.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 1.794 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.859 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.920 * [approximate]: Approximating (* (cbrt -1) (pow y 1/3)) in (y) around 0 1.996 * * * [progress]: simplifying candidates 1.997 * [simplify]: Simplifying using # : (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (* (/ 1 y) x)) (cbrt y) (cbrt (* 1 (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (* (/ 1 y) (/ x y)))) (exp (cbrt (* (/ 1 y) (/ x y)))) (cbrt (/ 1 y)) (cbrt (/ x y)) (cbrt (* 1 x)) (cbrt (* y y)) (cbrt (* (/ 1 y) x)) (cbrt y) (cbrt (* 1 (/ x y))) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (* (* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y)))) (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ x y)) (cbrt 1) (cbrt (/ x y)) (cbrt x) (cbrt (/ 1 y)) (cbrt x) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (* (* (cbrt (/ x y)) (cbrt (/ x y))) (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (log (cbrt (/ 1 y))) (exp (cbrt (/ 1 y))) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt 1) (cbrt y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) (sqrt y))) (cbrt (/ (cbrt 1) (sqrt y))) (cbrt (/ (* (cbrt 1) (cbrt 1)) 1)) (cbrt (/ (cbrt 1) y)) (cbrt (/ (sqrt 1) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt 1) (cbrt y))) (cbrt (/ (sqrt 1) (sqrt y))) (cbrt (/ (sqrt 1) (sqrt y))) (cbrt (/ (sqrt 1) 1)) (cbrt (/ (sqrt 1) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 1)) (cbrt (/ 1 y)) (cbrt 1) (cbrt (/ 1 y)) (cbrt 1) (cbrt (/ 1 y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt (/ 1 y))) (cbrt (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (* (* (cbrt (/ 1 y)) (cbrt (/ 1 y))) (cbrt (/ 1 y))) (sqrt (cbrt (/ 1 y))) (sqrt (cbrt (/ 1 y))) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (log (/ 1 x))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (* 2 (log y))))) (exp (* 1/3 (- (* 2 (log (/ 1 y))) (log (/ 1 x))))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (exp (* 1/3 (- (log x) (log y)))) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (pow y -1/3) (pow (/ 1 y) 1/3) (* (pow (/ -1 y) 1/3) (cbrt -1)) 2.001 * * [simplify]: iteration 0 : 226 enodes (cost 448 ) 2.005 * * [simplify]: iteration 1 : 534 enodes (cost 414 ) 2.012 * * [simplify]: iteration 2 : 1448 enodes (cost 397 ) 2.033 * * [simplify]: iteration 3 : 4568 enodes (cost 361 ) 2.118 * * [simplify]: iteration 4 : 5002 enodes (cost 350 ) 2.121 * [simplify]: Simplified to: (* 1/3 (log (/ (/ x y) y))) (exp (cbrt (* (/ 1 y) (/ x y)))) (pow y -1/3) (cbrt (/ x y)) (pow x 1/3) (cbrt (* y y)) (cbrt (/ x y)) (cbrt y) (cbrt (/ x y)) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (/ (/ x y) y) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (* 1/3 (log (/ (/ x y) y))) (exp (cbrt (* (/ 1 y) (/ x y)))) (pow y -1/3) (cbrt (/ x y)) (pow x 1/3) (cbrt (* y y)) (cbrt (/ x y)) (cbrt y) (cbrt (/ x y)) (cbrt y) (* (cbrt (cbrt (* (/ 1 y) (/ x y)))) (cbrt (cbrt (* (/ 1 y) (/ x y))))) (cbrt (cbrt (* (/ 1 y) (/ x y)))) (/ (/ x y) y) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (sqrt (cbrt (* (/ 1 y) (/ x y)))) (log (cbrt (/ x y))) (exp (cbrt (/ x y))) (cbrt (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (sqrt (/ x y))) (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) (sqrt y))) (cbrt (/ (cbrt x) (sqrt y))) (cbrt (/ (* (cbrt x) (cbrt x)) 1)) (cbrt (/ (cbrt x) y)) (cbrt (/ (sqrt x) (* (cbrt y) (cbrt y)))) (cbrt (/ (sqrt x) (cbrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) (sqrt y))) (cbrt (/ (sqrt x) 1)) (cbrt (/ (sqrt x) y)) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ x (sqrt y))) 1 (cbrt (/ x y)) 1 (cbrt (/ x y)) (pow x 1/3) (pow y -1/3) (pow x 1/3) (cbrt y) (* (cbrt (cbrt (/ x y))) (cbrt (cbrt (/ x y)))) (cbrt (cbrt (/ x y))) (/ x y) (sqrt (cbrt (/ x y))) (sqrt (cbrt (/ x y))) (* -1/3 (log y)) (exp (cbrt (/ 1 y))) (cbrt (* (cbrt (/ 1 y)) (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (sqrt (/ 1 y))) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y))) 1 (pow y -1/3) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y))) 1 (pow y -1/3) (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ 1 (cbrt y))) (cbrt (/ 1 (sqrt y))) (cbrt (/ 1 (sqrt y))) 1 (pow y -1/3) 1 (pow y -1/3) 1 (pow y -1/3) 1 (cbrt y) (* (cbrt (cbrt (/ 1 y))) (cbrt (cbrt (/ 1 y)))) (cbrt (cbrt (/ 1 y))) (/ 1 y) (sqrt (cbrt (/ 1 y))) (sqrt (cbrt (/ 1 y))) (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))) (* (exp (* 1/3 (- (* 2 (log (/ -1 y))) (log (/ -1 x))))) (cbrt -1)) (cbrt (/ x y)) (cbrt (/ x y)) (exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x))))) (pow y -1/3) (pow y -1/3) (* (pow (/ -1 y) 1/3) (cbrt -1)) 2.121 * * * [progress]: adding candidates to table 2.569 * [progress]: [Phase 3 of 3] Extracting. 2.569 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.570 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (/ x (* y y)) (- (/ x (* y y)) 3.0) y x) 2.570 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 2.619 * * * * [regimes]: Trying to branch on (* y y) from (# #) 2.647 * * * * [regimes]: Trying to branch on (/ x (* y y)) from (# # # # # # #) 2.697 * * * * [regimes]: Trying to branch on (- (/ x (* y y)) 3.0) from (# # # # # # #) 2.744 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.796 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.847 * * * [regime]: Found split indices: #