16.487 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* (* x y) y) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.019 * * [simplify]: iteration 1 : 9 enodes (cost 2 ) 0.020 * * [simplify]: iteration 2 : 9 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (* (* x y) y) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.035 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.035 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.036 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.047 * [taylor]: Taking taylor expansion of -1 in y 0.047 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.047 * [taylor]: Taking taylor expansion of -1 in x 0.047 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.063 * [simplify]: Simplifying using # : (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x 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)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.066 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.069 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.079 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.118 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.119 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (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)) (* (* x y) (* (cbrt y) (cbrt y))) (* x (pow y 3/2)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.119 * * * [progress]: adding candidates to table 0.143 * * [progress]: iteration 2 / 4 0.143 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.156 * * * [progress]: generating rewritten candidates 0.157 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.158 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.168 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.168 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.168 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.168 * [taylor]: Taking taylor expansion of 1/3 in y 0.168 * [taylor]: Taking taylor expansion of (log y) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.169 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.169 * [taylor]: Taking taylor expansion of 1/3 in y 0.169 * [taylor]: Taking taylor expansion of (log y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.219 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.219 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.219 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.219 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.219 * [taylor]: Taking taylor expansion of 1/3 in y 0.219 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.220 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.220 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.220 * [taylor]: Taking taylor expansion of 1/3 in y 0.220 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.275 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.275 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.275 * [taylor]: Taking taylor expansion of -1 in y 0.276 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.276 * [taylor]: Taking taylor expansion of 1/3 in y 0.276 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.277 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.277 * [taylor]: Taking taylor expansion of -1 in y 0.277 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.277 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.277 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.277 * [taylor]: Taking taylor expansion of 1/3 in y 0.277 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.342 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.342 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.342 * [taylor]: Taking taylor expansion of 1/3 in y 0.342 * [taylor]: Taking taylor expansion of (log y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.343 * [taylor]: Taking taylor expansion of 1/3 in y 0.343 * [taylor]: Taking taylor expansion of (log y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.391 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.391 * [taylor]: Taking taylor expansion of 1/3 in y 0.391 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.392 * [taylor]: Taking taylor expansion of 1/3 in y 0.392 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.450 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.450 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.450 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.450 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.451 * [taylor]: Taking taylor expansion of 1/3 in y 0.451 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.451 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.451 * [taylor]: Taking taylor expansion of -1 in y 0.452 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.452 * [taylor]: Taking taylor expansion of 1/3 in y 0.452 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.520 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.520 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.520 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.520 * [taylor]: Taking taylor expansion of 1/3 in y 0.520 * [taylor]: Taking taylor expansion of (log y) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.521 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.521 * [taylor]: Taking taylor expansion of 1/3 in y 0.521 * [taylor]: Taking taylor expansion of (log y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.574 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.574 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.574 * [taylor]: Taking taylor expansion of 1/3 in y 0.574 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.575 * [taylor]: Taking taylor expansion of 1/3 in y 0.575 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.626 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.626 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.626 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.626 * [taylor]: Taking taylor expansion of -1 in y 0.626 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.626 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.627 * [taylor]: Taking taylor expansion of 1/3 in y 0.627 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.627 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.627 * [taylor]: Taking taylor expansion of -1 in y 0.634 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.634 * [taylor]: Taking taylor expansion of 1/3 in y 0.634 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.697 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.697 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 0.697 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 1/3 in y 0.697 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of 1/3 in y 0.698 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.756 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 0.757 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.757 * [taylor]: Taking taylor expansion of 1/3 in y 0.757 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.758 * [taylor]: Taking taylor expansion of 1/3 in y 0.758 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.818 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 0.818 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 0.818 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.818 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.818 * [taylor]: Taking taylor expansion of -1 in y 0.818 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.819 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.819 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.819 * [taylor]: Taking taylor expansion of 1/3 in y 0.819 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.819 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 0.820 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 0.820 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 0.820 * [taylor]: Taking taylor expansion of 1/3 in y 0.821 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.898 * * * [progress]: simplifying candidates 0.899 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 0.903 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 0.907 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 0.920 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 0.992 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 0.994 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 0.994 * * * [progress]: adding candidates to table 1.165 * * [progress]: iteration 3 / 4 1.165 * * * [progress]: picking best candidate 1.173 * * * * [pick]: Picked # 1.173 * * * [progress]: localizing error 1.184 * * * [progress]: generating rewritten candidates 1.184 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.185 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 1.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.188 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.190 * * * [progress]: generating series expansions 1.190 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.190 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.190 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.190 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.190 * [taylor]: Taking taylor expansion of 1/3 in y 1.190 * [taylor]: Taking taylor expansion of (log y) in y 1.190 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.191 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.191 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.191 * [taylor]: Taking taylor expansion of 1/3 in y 1.191 * [taylor]: Taking taylor expansion of (log y) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.242 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.242 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.242 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.242 * [taylor]: Taking taylor expansion of 1/3 in y 1.242 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.242 * [taylor]: Taking taylor expansion of y in y 1.243 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.243 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.243 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.243 * [taylor]: Taking taylor expansion of 1/3 in y 1.243 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.243 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.243 * [taylor]: Taking taylor expansion of y in y 1.293 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.293 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.294 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.294 * [taylor]: Taking taylor expansion of -1 in y 1.294 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.294 * [taylor]: Taking taylor expansion of 1/3 in y 1.294 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.294 * [taylor]: Taking taylor expansion of y in y 1.295 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.295 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.295 * [taylor]: Taking taylor expansion of -1 in y 1.296 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.296 * [taylor]: Taking taylor expansion of 1/3 in y 1.296 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.363 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 1.363 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.363 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.363 * [taylor]: Taking taylor expansion of 1/3 in y 1.363 * [taylor]: Taking taylor expansion of (log y) in y 1.363 * [taylor]: Taking taylor expansion of y in y 1.364 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.364 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.364 * [taylor]: Taking taylor expansion of 1/3 in y 1.364 * [taylor]: Taking taylor expansion of (log y) in y 1.364 * [taylor]: Taking taylor expansion of y in y 1.416 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.416 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.416 * [taylor]: Taking taylor expansion of 1/3 in y 1.416 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.416 * [taylor]: Taking taylor expansion of y in y 1.417 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.417 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.417 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.417 * [taylor]: Taking taylor expansion of 1/3 in y 1.417 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.417 * [taylor]: Taking taylor expansion of y in y 1.471 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.471 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.471 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.471 * [taylor]: Taking taylor expansion of -1 in y 1.472 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.472 * [taylor]: Taking taylor expansion of 1/3 in y 1.472 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.472 * [taylor]: Taking taylor expansion of y in y 1.473 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.473 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.473 * [taylor]: Taking taylor expansion of -1 in y 1.474 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.474 * [taylor]: Taking taylor expansion of 1/3 in y 1.474 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.474 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.474 * [taylor]: Taking taylor expansion of y in y 1.540 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.540 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.540 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.540 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.540 * [taylor]: Taking taylor expansion of 1/3 in y 1.540 * [taylor]: Taking taylor expansion of (log y) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.540 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.541 * [taylor]: Taking taylor expansion of 1/3 in y 1.541 * [taylor]: Taking taylor expansion of (log y) in y 1.541 * [taylor]: Taking taylor expansion of y in y 1.587 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.587 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.588 * [taylor]: Taking taylor expansion of 1/3 in y 1.588 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.588 * [taylor]: Taking taylor expansion of 1/3 in y 1.588 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.645 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.645 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.645 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.645 * [taylor]: Taking taylor expansion of -1 in y 1.646 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.646 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.646 * [taylor]: Taking taylor expansion of 1/3 in y 1.646 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.646 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.647 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.647 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.647 * [taylor]: Taking taylor expansion of -1 in y 1.648 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.648 * [taylor]: Taking taylor expansion of 1/3 in y 1.648 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.648 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.648 * [taylor]: Taking taylor expansion of y in y 1.718 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 1.718 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.718 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.718 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.718 * [taylor]: Taking taylor expansion of 1/3 in y 1.718 * [taylor]: Taking taylor expansion of (log y) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.719 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.719 * [taylor]: Taking taylor expansion of 1/3 in y 1.719 * [taylor]: Taking taylor expansion of (log y) in y 1.719 * [taylor]: Taking taylor expansion of y in y 1.773 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.773 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.773 * [taylor]: Taking taylor expansion of 1/3 in y 1.773 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.773 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.773 * [taylor]: Taking taylor expansion of y in y 1.774 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.774 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.774 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.774 * [taylor]: Taking taylor expansion of 1/3 in y 1.774 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.774 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.774 * [taylor]: Taking taylor expansion of y in y 1.824 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.824 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.824 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.824 * [taylor]: Taking taylor expansion of -1 in y 1.825 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.825 * [taylor]: Taking taylor expansion of 1/3 in y 1.825 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.825 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.825 * [taylor]: Taking taylor expansion of y in y 1.826 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.826 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.826 * [taylor]: Taking taylor expansion of -1 in y 1.832 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.832 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.832 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.832 * [taylor]: Taking taylor expansion of 1/3 in y 1.832 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.832 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.832 * [taylor]: Taking taylor expansion of y in y 1.893 * * * [progress]: simplifying candidates 1.894 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 1.897 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 1.899 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 1.901 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 1.905 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 1.925 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 2.016 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 2.018 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) 2.018 * * * [progress]: adding candidates to table 2.177 * * [progress]: iteration 4 / 4 2.177 * * * [progress]: picking best candidate 2.184 * * * * [pick]: Picked # 2.184 * * * [progress]: localizing error 2.188 * * * [progress]: generating rewritten candidates 2.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.194 * * * [progress]: generating series expansions 2.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.194 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 2.194 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.194 * [taylor]: Taking taylor expansion of x in y 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.194 * [taylor]: Taking taylor expansion of y in y 2.194 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.194 * [taylor]: Taking taylor expansion of y in x 2.194 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.194 * [taylor]: Taking taylor expansion of y in x 2.195 * [taylor]: Taking taylor expansion of 0 in y 2.195 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.195 * [taylor]: Taking taylor expansion of y in y 2.196 * [taylor]: Taking taylor expansion of 0 in y 2.198 * [taylor]: Taking taylor expansion of 0 in y 2.198 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 2.198 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.198 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.198 * [taylor]: Taking taylor expansion of x in y 2.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.198 * [taylor]: Taking taylor expansion of y in y 2.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.199 * [taylor]: Taking taylor expansion of y in x 2.199 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.199 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.199 * [taylor]: Taking taylor expansion of x in x 2.199 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.199 * [taylor]: Taking taylor expansion of y in x 2.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.200 * [taylor]: Taking taylor expansion of y in y 2.201 * [taylor]: Taking taylor expansion of 0 in y 2.204 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.210 * [taylor]: Taking taylor expansion of 0 in y 2.210 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 2.210 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.211 * [taylor]: Taking taylor expansion of -1 in y 2.211 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.211 * [taylor]: Taking taylor expansion of x in y 2.211 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.211 * [taylor]: Taking taylor expansion of y in y 2.211 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.211 * [taylor]: Taking taylor expansion of -1 in x 2.211 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.211 * [taylor]: Taking taylor expansion of y in x 2.211 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.212 * [taylor]: Taking taylor expansion of -1 in x 2.212 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.212 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.212 * [taylor]: Taking taylor expansion of y in x 2.212 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 2.212 * [taylor]: Taking taylor expansion of -1 in y 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.212 * [taylor]: Taking taylor expansion of y in y 2.214 * [taylor]: Taking taylor expansion of 0 in y 2.216 * [taylor]: Taking taylor expansion of 0 in y 2.219 * [taylor]: Taking taylor expansion of 0 in y 2.223 * [taylor]: Taking taylor expansion of 0 in y 2.223 * * * [progress]: simplifying candidates 2.224 * [simplify]: Simplifying using # : (expm1 (* x (pow y 2))) (log1p (* x (pow y 2))) (+ (log x) (* (log y) 2)) (+ (log x) (* (log y) 2)) (+ (log x) (log (pow y 2))) (log (* x (pow y 2))) (exp (* x (pow y 2))) (* (* (* x x) x) (* (* (pow y 2) (pow y 2)) (pow y 2))) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (* (* (* x (pow y 2)) (* x (pow y 2))) (* x (pow y 2))) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) (pow (sqrt y) 2)) (* (sqrt x) y) (* (sqrt x) y) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (pow y (/ 2 2))) (* (sqrt x) (pow y (/ 2 2))) (* x (pow (* (cbrt y) (cbrt y)) 2)) (* x (pow (sqrt y) 2)) (* x (pow 1 2)) (* x y) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (sqrt (pow y 2))) (* x 1) (* x (pow y (/ 2 2))) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 2.227 * * [simplify]: iteration 0 : 109 enodes (cost 108 ) 2.230 * * [simplify]: iteration 1 : 408 enodes (cost 93 ) 2.239 * * [simplify]: iteration 2 : 2002 enodes (cost 93 ) 2.294 * * [simplify]: iteration 3 : 5001 enodes (cost 92 ) 2.295 * [simplify]: Simplified to: (expm1 (* x (pow y 2))) (log1p (* 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 (pow y 2)) 3) (* (cbrt (* x (pow y 2))) (cbrt (* x (pow y 2)))) (cbrt (* x (pow y 2))) (pow (* x (pow y 2)) 3) (sqrt (* x (pow y 2))) (sqrt (* x (pow y 2))) (* y (sqrt x)) (* y (sqrt x)) (* y (sqrt x)) (* y (sqrt x)) (* (sqrt x) (sqrt (pow y 2))) (* (sqrt x) (sqrt (pow y 2))) (* y (sqrt x)) (* y (sqrt x)) (* (/ (pow (cbrt y) 4) 1) x) (* y x) x (* y x) (* x (* (cbrt (pow y 2)) (cbrt (pow y 2)))) (* x (fabs y)) x (* y x) (* (cbrt x) (pow y 2)) (* (sqrt x) (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 2.295 * * * [progress]: adding candidates to table 2.336 * [progress]: [Phase 3 of 3] Extracting. 2.336 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.337 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) y) y x) 2.337 * * * * [regimes]: Trying to branch on (* (* x y) y) from (# # # # # # # #) 2.362 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 2.384 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 2.408 * * * [regime]: Found split indices: #