7.042 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (+ (- 1.0 x) (* y (sqrt x))) 0.032 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.033 * * [simplify]: iteration 1 : 23 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 40 enodes (cost 4 ) 0.035 * * [simplify]: iteration 3 : 59 enodes (cost 4 ) 0.036 * * [simplify]: iteration 4 : 74 enodes (cost 4 ) 0.038 * * [simplify]: iteration 5 : 103 enodes (cost 4 ) 0.039 * * [simplify]: iteration 6 : 120 enodes (cost 4 ) 0.041 * * [simplify]: iteration 7 : 145 enodes (cost 4 ) 0.043 * * [simplify]: iteration 8 : 226 enodes (cost 4 ) 0.044 * * [simplify]: iteration 9 : 257 enodes (cost 4 ) 0.046 * * [simplify]: iteration 10 : 257 enodes (cost 4 ) 0.046 * [simplify]: Simplified to: (+ (- 1.0 x) (* y (sqrt x))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.066 * * * [progress]: generating series expansions 0.066 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.066 * [approximate]: Approximating (* (sqrt x) y) in (y x) around 0 0.068 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.068 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.074 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.075 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.080 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.087 * [approximate]: Approximating (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.094 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.106 * [approximate]: Approximating (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.108 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.113 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.122 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.134 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.134 * [approximate]: Approximating (- (+ (* (sqrt x) y) 1.0) x) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt x) y) 1.0) x) in y 0.139 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt x) y) 1.0) x) in y 0.145 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt x) y) 1.0) x) in y 0.151 * [approximate]: Approximating (- (+ (* (sqrt (/ 1 x)) (/ 1 y)) 1.0) (/ 1 x)) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt (/ 1 x)) (/ 1 y)) 1.0) (/ 1 x)) in y 0.158 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt (/ 1 x)) (/ 1 y)) 1.0) (/ 1 x)) in y 0.165 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt (/ 1 x)) (/ 1 y)) 1.0) (/ 1 x)) in y 0.168 * [approximate]: Approximating (- (+ 1.0 (/ 1 x)) (/ (sqrt (/ -1 x)) y)) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x)) (/ (sqrt (/ -1 x)) y)) in y 0.174 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x)) (/ (sqrt (/ -1 x)) y)) in y 0.181 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x)) (/ (sqrt (/ -1 x)) y)) in y 0.187 * * * [progress]: simplifying candidates 0.187 * [simplify]: Simplifying using # : (* y (sqrt x)) (+ (log y) (log (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (sqrt (* (cbrt x) (cbrt x)))) (* y (sqrt (sqrt x))) (* y (sqrt 1)) (* y (sqrt (sqrt x))) (* y 1) (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (* (/ (exp 1.0) (exp x)) (exp (* y (sqrt x)))) (* (exp (- 1.0 x)) (exp (* y (sqrt x)))) (log (+ (- 1.0 x) (* y (sqrt x)))) (exp (+ (- 1.0 x) (* y (sqrt x)))) (* (cbrt (+ (- 1.0 x) (* y (sqrt x)))) (cbrt (+ (- 1.0 x) (* y (sqrt x))))) (cbrt (+ (- 1.0 x) (* y (sqrt x)))) (* (* (+ (- 1.0 x) (* y (sqrt x))) (+ (- 1.0 x) (* y (sqrt x)))) (+ (- 1.0 x) (* y (sqrt x)))) (sqrt (+ (- 1.0 x) (* y (sqrt x)))) (sqrt (+ (- 1.0 x) (* y (sqrt x)))) (+ (pow (- 1.0 x) 3) (pow (* y (sqrt x)) 3)) (+ (* (- 1.0 x) (- 1.0 x)) (- (* (* y (sqrt x)) (* y (sqrt x))) (* (- 1.0 x) (* y (sqrt x))))) (- (* (- 1.0 x) (- 1.0 x)) (* (* y (sqrt x)) (* y (sqrt x)))) (- (- 1.0 x) (* y (sqrt x))) (+ (neg x) (* y (sqrt x))) (+ (neg x) (* y (sqrt x))) (- x (* y (sqrt x))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (- (+ (* x (* NAN y)) 1.0) x) (- (+ (/ (* (pow NAN 3) y) x) (* NAN y)) x) (- (* NAN y) (+ (/ (* (pow NAN 3) y) x) x)) 0.190 * * [simplify]: iteration 0 : 229 enodes (cost 223 ) 0.195 * * [simplify]: iteration 1 : 909 enodes (cost 209 ) 0.214 * * [simplify]: iteration 2 : 4523 enodes (cost 202 ) 0.309 * * [simplify]: iteration 3 : 5001 enodes (cost 202 ) 0.311 * [simplify]: Simplified to: (* y (sqrt x)) (log (* y (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (pow (* y (sqrt x)) 3) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (pow (* y (sqrt x)) 3) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) y) (* y (sqrt (sqrt x))) y (* y (sqrt (sqrt x))) y (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (exp (+ (- 1.0 x) (* y (sqrt x)))) (exp (+ (- 1.0 x) (* y (sqrt x)))) (log (+ (- 1.0 x) (* y (sqrt x)))) (exp (+ (- 1.0 x) (* y (sqrt x)))) (* (cbrt (+ (- 1.0 x) (* y (sqrt x)))) (cbrt (+ (- 1.0 x) (* y (sqrt x))))) (cbrt (+ (- 1.0 x) (* y (sqrt x)))) (pow (+ (- 1.0 x) (* y (sqrt x))) 3) (sqrt (+ (- 1.0 x) (* y (sqrt x)))) (sqrt (+ (- 1.0 x) (* y (sqrt x)))) (+ (pow (- 1.0 x) 3) (pow (* y (sqrt x)) 3)) (+ (* (- 1.0 x) (- (- 1.0 x) (* y (sqrt x)))) (* (* y y) x)) (+ (* (- 1.0 x) (- 1.0 x)) (neg (* (* y y) x))) (- (- 1.0 x) (* y (sqrt x))) (- (* y (sqrt x)) x) (- (* y (sqrt x)) x) (- x (* y (sqrt x))) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (+ (* y (- NAN (/ (pow NAN 3) x))) (/ (* (pow NAN 5) y) (pow x 2))) (- (+ (* x (* NAN y)) 1.0) x) (- (+ (/ (* (pow NAN 3) y) x) (* NAN y)) x) (- (* NAN y) (+ (/ (* (pow NAN 3) y) x) x)) 0.311 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 2 / 4 0.408 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.428 * * * [progress]: localizing error 0.435 * * * [progress]: generating rewritten candidates 0.436 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.444 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.449 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.451 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.455 * * * [progress]: generating series expansions 0.455 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.455 * [approximate]: Approximating (* (sqrt x) y) in (y x) around 0 0.457 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.458 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.460 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.461 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.466 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.473 * [approximate]: Approximating (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.494 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.506 * [approximate]: Approximating (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.509 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.513 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.522 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.535 * [approximate]: Approximating (* (pow x 1/4) y) in (y x) around 0 0.536 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.538 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.542 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.549 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.549 * [approximate]: Approximating (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 0.551 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.563 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.578 * [approximate]: Approximating (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 0.587 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.597 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.605 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.629 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.629 * [approximate]: Approximating (pow x 1/4) in (x) around 0 0.690 * [approximate]: Approximating (pow (/ 1 x) 1/4) in (x) around 0 0.754 * [approximate]: Approximating (sqrt (sqrt (/ -1 x))) in (x) around 0 0.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.788 * [approximate]: Approximating (pow x 1/4) in (x) around 0 0.848 * [approximate]: Approximating (pow (/ 1 x) 1/4) in (x) around 0 0.911 * [approximate]: Approximating (sqrt (sqrt (/ -1 x))) in (x) around 0 0.943 * * * [progress]: simplifying candidates 0.944 * [simplify]: Simplifying using # : (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (+ (+ (log y) (log (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (+ (log (* y (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (log (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (exp (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt 1))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt 1)) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (+ (log y) (log (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt 1))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt 1)) (* y (sqrt (sqrt (sqrt x)))) (* y 1) (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) 0.953 * * [simplify]: iteration 0 : 295 enodes (cost 492 ) 0.959 * * [simplify]: iteration 1 : 1260 enodes (cost 445 ) 0.984 * * [simplify]: iteration 2 : 5001 enodes (cost 425 ) 0.987 * [simplify]: Simplified to: (* y (sqrt x)) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (pow (exp y) (sqrt x)) (pow (* y (sqrt x)) 3) (pow (* y (sqrt x)) 3) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (pow (* y (sqrt x)) 3) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (sqrt x) (* y (sqrt (sqrt x))) (log (* y (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (fabs (cbrt (sqrt x))) y) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (* y (+ (+ (* (pow x 2) (pow NAN 3)) (* x NAN)) (* (pow x 3) (pow NAN 5)))) (+ (* y (+ (/ (pow NAN 5) (pow x 2)) (/ (pow NAN 3) x))) (* NAN y)) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt NAN) (- (/ (* 1/2 (sqrt (pow NAN 5))) x) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2)))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt NAN) (- (/ (* 1/2 (sqrt (pow NAN 5))) x) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2)))) 0.987 * * * [progress]: adding candidates to table 1.308 * * [progress]: iteration 3 / 4 1.308 * * * [progress]: picking best candidate 1.335 * * * * [pick]: Picked # 1.335 * * * [progress]: localizing error 1.354 * * * [progress]: generating rewritten candidates 1.354 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.355 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.357 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 1.364 * * * [progress]: generating series expansions 1.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.365 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.424 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.487 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 1.571 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.624 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.687 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.766 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 1.767 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.826 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.891 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.971 * [approximate]: Approximating (pow (pow x 2) 1/3) in (x) around 0 2.037 * [approximate]: Approximating (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 2.108 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 2.202 * * * [progress]: simplifying candidates 2.203 * [simplify]: Simplifying using # : (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.206 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 2.209 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 2.222 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 2.285 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 2.288 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.288 * * * [progress]: adding candidates to table 2.922 * * [progress]: iteration 4 / 4 2.922 * * * [progress]: picking best candidate 2.943 * * * * [pick]: Picked # 2.944 * * * [progress]: localizing error 2.954 * * * [progress]: generating rewritten candidates 2.955 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.959 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.963 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.975 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.988 * * * [progress]: generating series expansions 2.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.989 * [approximate]: Approximating (pow (pow x 1/4) 3) in (x) around 0 3.060 * [approximate]: Approximating (pow (pow (/ 1 x) 1/4) 3) in (x) around 0 3.137 * [approximate]: Approximating (pow (sqrt (sqrt (/ -1 x))) 3) in (x) around 0 3.202 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 3.202 * [approximate]: Approximating (pow x 1/4) in (x) around 0 3.264 * [approximate]: Approximating (pow (/ 1 x) 1/4) in (x) around 0 3.330 * [approximate]: Approximating (sqrt (sqrt (/ -1 x))) in (x) around 0 3.370 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.370 * [approximate]: Approximating (* (sqrt x) y) in (y x) around 0 3.372 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 3.372 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 3.374 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 3.376 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 3.380 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 3.387 * [approximate]: Approximating (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 3.390 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 3.393 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 3.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 3.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 3.407 * [approximate]: Approximating (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 3.409 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 3.414 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 3.423 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 3.436 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.436 * [approximate]: Approximating (* (pow x 1/4) y) in (y x) around 0 3.437 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 3.439 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 3.448 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 3.455 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 3.455 * [approximate]: Approximating (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 3.457 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 3.461 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 3.468 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 3.477 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 3.478 * [approximate]: Approximating (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 3.486 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 3.496 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 3.504 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 3.533 * * * [progress]: simplifying candidates 3.535 * [simplify]: Simplifying using # : (* (log (sqrt (sqrt x))) 3) (* (log (sqrt (sqrt x))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1 2) 2) 3) (pow (sqrt (sqrt x)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt x)) (sqrt 3)) (pow (sqrt (sqrt x)) 1) (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3) (pow (cbrt (sqrt (sqrt x))) 3) (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3) (pow (sqrt (cbrt (sqrt x))) 3) (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3) (pow (sqrt (sqrt (cbrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow 1 3) (pow (sqrt (sqrt x)) 3) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (log (pow (sqrt (sqrt x)) 3)) (exp (pow (sqrt (sqrt x)) 3)) (* (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (pow (sqrt (sqrt x)) 3)) (* (* (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3)) (pow (sqrt (sqrt x)) 3)) (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3) (pow (cbrt (sqrt (sqrt x))) 3) (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3) (pow (sqrt (cbrt (sqrt x))) 3) (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3) (pow (sqrt (sqrt (cbrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow (sqrt (sqrt (sqrt x))) 3) (pow 1 3) (pow (sqrt (sqrt x)) 3) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (/ 3 2) (sqrt (pow (sqrt (sqrt x)) 3)) (sqrt (pow (sqrt (sqrt x)) 3)) (pow (sqrt (sqrt x)) (/ 3 2)) (pow (sqrt (sqrt x)) (/ 3 2)) (log (cbrt (pow (sqrt (sqrt x)) 3))) (exp (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3)) (cbrt (pow (cbrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3)) (cbrt (pow (sqrt (cbrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3)) (cbrt (pow (sqrt (sqrt (cbrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt 1)) 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (cbrt (* (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt x)) 3)))) (cbrt (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3)) (cbrt (pow (cbrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3)) (cbrt (pow (sqrt (cbrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3)) (cbrt (pow (sqrt (sqrt (cbrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt 1)) 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow (sqrt (sqrt (sqrt x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (sqrt (sqrt x))) (cbrt (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (cbrt (sqrt (pow (sqrt (sqrt x)) 3))) (cbrt (sqrt (pow (sqrt (sqrt x)) 3))) (cbrt 1) (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt x)) (/ 3 2))) (cbrt (pow (sqrt (sqrt x)) (/ 3 2))) (* (cbrt (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (cbrt (pow (sqrt (sqrt x)) 3)))) (cbrt (cbrt (pow (sqrt (sqrt x)) 3))) (* (* (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3))) (+ (+ (log y) (log (sqrt (sqrt x)))) (log (cbrt (pow (sqrt (sqrt x)) 3)))) (+ (log (* y (sqrt (sqrt x)))) (log (cbrt (pow (sqrt (sqrt x)) 3)))) (log (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (exp (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (pow (sqrt (sqrt x)) 3)) (* (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (pow (sqrt (sqrt x)) 3)) (* (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3))))) (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (sqrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (sqrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* y (sqrt (sqrt x))) (cbrt (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt 1)) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt 1) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow 1 3))) (* (* y (sqrt (sqrt x))) (cbrt (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (cbrt (* (cbrt (pow (sqrt (sqrt x)) 3)) (cbrt (pow (sqrt (sqrt x)) 3))))) (* (* y (sqrt (sqrt x))) (cbrt (pow (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt 1)) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt 1) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt (sqrt x))) 3))) (* (* y (sqrt (sqrt x))) (cbrt (pow 1 3))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt (pow (sqrt (sqrt x)) 3)))) (* (* y (sqrt (sqrt x))) (cbrt 1)) (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) (/ 3 2)))) (* (* y (sqrt (sqrt x))) (* (cbrt (cbrt (pow (sqrt (sqrt x)) 3))) (cbrt (cbrt (pow (sqrt (sqrt x)) 3))))) (* (* y (sqrt (sqrt x))) (sqrt (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* y (sqrt (sqrt x))) 1) (* (sqrt (sqrt x)) (cbrt (pow (sqrt (sqrt x)) 3))) (* y (sqrt (sqrt x))) (+ (log y) (log (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt 1))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt 1)) (* y (sqrt (sqrt (sqrt x)))) (* y 1) (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (pow (pow x 3) 1/4) (pow (pow x 3) 1/4) (- (+ (* 15/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 11)))) (sqrt (pow NAN 3))) (* 3/2 (* (/ 1 x) (sqrt (pow NAN 7))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (+ (* 3/8 (* (/ 1 (pow x 2)) (sqrt (pow NAN 9)))) (sqrt NAN)) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) 3.542 * * [simplify]: iteration 0 : 497 enodes (cost 864 ) 3.551 * * [simplify]: iteration 1 : 2292 enodes (cost 734 ) 3.596 * * [simplify]: iteration 2 : 5001 enodes (cost 693 ) 3.601 * [simplify]: Simplified to: (log (pow (sqrt (sqrt x)) 3)) (log (pow (sqrt (sqrt x)) 3)) 3/2 3 3/4 3/2 3/4 (pow (sqrt (sqrt x)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt x)) (sqrt 3)) (sqrt (sqrt x)) (sqrt x) (sqrt (sqrt x)) (pow (fabs (cbrt (sqrt x))) 3) (pow (sqrt (cbrt (sqrt x))) 3) (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3) (pow (sqrt (sqrt (cbrt x))) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (sqrt x) (log (pow (sqrt (sqrt x)) 3)) (exp (pow (sqrt (sqrt x)) 3)) (sqrt x) (sqrt (sqrt x)) (pow (pow (sqrt (sqrt x)) 3) 3) (sqrt x) (sqrt (sqrt x)) (pow (fabs (cbrt (sqrt x))) 3) (pow (sqrt (cbrt (sqrt x))) 3) (pow (sqrt (sqrt (* (cbrt x) (cbrt x)))) 3) (pow (sqrt (sqrt (cbrt x))) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt (sqrt x)) 3) (sqrt x) 3/2 (sqrt (pow (sqrt (sqrt x)) 3)) (sqrt (pow (sqrt (sqrt x)) 3)) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (cbrt (sqrt x)) (cbrt (sqrt (sqrt x))) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (cbrt (sqrt x)) (cbrt (sqrt (sqrt x))) (cbrt (sqrt x)) (cbrt (sqrt (sqrt x))) (cbrt (sqrt x)) (cbrt (sqrt (sqrt x))) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (cbrt (sqrt (sqrt x))) (cbrt (sqrt x)) (cbrt (sqrt (pow (sqrt (sqrt x)) 3))) (cbrt (sqrt (pow (sqrt (sqrt x)) 3))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (cbrt (sqrt x)) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (* (sqrt x) y) (* (sqrt x) y) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (pow (exp y) (sqrt x)) (* (pow (sqrt (sqrt x)) 6) (pow y 3)) (* (pow (sqrt (sqrt x)) 6) (pow y 3)) (* (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3))))) (cbrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (pow (sqrt (sqrt x)) 6) (pow y 3)) (sqrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (sqrt (* (* y (sqrt (sqrt x))) (cbrt (pow (sqrt (sqrt x)) 3)))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt x))) (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (* y (* (sqrt (sqrt x)) (sqrt (sqrt (* (cbrt x) (cbrt x)))))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt x))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt x))) (* (* y (sqrt (sqrt x))) (cbrt (sqrt x))) (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (* y (* (sqrt (sqrt x)) (sqrt (sqrt (* (cbrt x) (cbrt x)))))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (* (pow (cbrt (sqrt (sqrt x))) 4) y) (* (* y (sqrt (sqrt x))) (cbrt (sqrt (pow (sqrt (sqrt x)) 3)))) (* y (sqrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* (* y (sqrt (sqrt x))) (cbrt (sqrt x))) (* (pow (sqrt (sqrt x)) 3/2) y) (* y (sqrt (sqrt x))) (sqrt x) (* y (sqrt (sqrt x))) (log (* y (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (cbrt (sqrt x)) y) (* (fabs (cbrt (sqrt x))) y) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (pow (pow x 3) 1/4) (pow (pow x 3) 1/4) (+ (- (sqrt (pow NAN 3)) (* 3/2 (* (/ 1 x) (sqrt (pow NAN 7))))) (/ (* 15/8 (sqrt (pow NAN 11))) (pow x 2))) (pow x 1/4) (pow (/ 1 x) -1/4) (+ (- (sqrt NAN) (* 1/2 (* (/ 1 x) (sqrt (pow NAN 5))))) (/ (* 3/8 (sqrt (pow NAN 9))) (pow x 2))) (+ (* (pow x 3) (* (pow NAN 5) y)) (* y (+ (* (pow x 2) (pow NAN 3)) (* x NAN)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (+ (* 3/8 (* (/ y (pow x 2)) (sqrt (pow NAN 9)))) (* (sqrt NAN) y)) (* 1/2 (* (/ y x) (sqrt (pow NAN 5))))) 3.602 * * * [progress]: adding candidates to table 4.135 * [progress]: [Phase 3 of 3] Extracting. 4.135 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.138 * * * [regime-changes]: Trying 3 branch expressions: ((+ (- 1.0 x) (* y (sqrt x))) y x) 4.138 * * * * [regimes]: Trying to branch on (+ (- 1.0 x) (* y (sqrt x))) from (# # # # # # #) 4.199 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 4.257 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.315 * * * [regime]: Found split indices: #