11.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.036 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.065 * [taylor]: Taking taylor expansion of -1 in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.066 * [taylor]: Taking taylor expansion of -1 in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.090 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1.0 in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 1.0 in y 0.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 1.0 in y 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * * * [progress]: simplifying candidates 0.125 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.129 * * [simplify]: iteration 0 : 176 enodes (cost 185 ) 0.133 * * [simplify]: iteration 1 : 831 enodes (cost 149 ) 0.148 * * [simplify]: iteration 2 : 3617 enodes (cost 145 ) 0.208 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.209 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (fma y y 1.0)) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* x (fma y y 1.0)) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (fma y y 1.0)) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (fma y y 1.0)) (* (sqrt x) (fma y y 1.0)) (* x (fma y y 1.0)) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (exp (fma y y 1.0)) (log (fma y y 1.0)) (exp (fma y y 1.0)) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (pow (fma y y 1.0) 3) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow y 6)) (fma 1.0 (- 1.0 (* y y)) (pow y 4)) (* (fma y y 1.0) (- 1.0 (pow y 2))) (- 1.0 (* y y)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma y y 1.0) (fma y y 1.0) (fma y y 1.0) 0.210 * * * [progress]: adding candidates to table 0.294 * * [progress]: iteration 2 / 4 0.294 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.308 * * * [progress]: generating rewritten candidates 0.308 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.314 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.318 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.330 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of -1 in y 0.330 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.331 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of -1 in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * * * [progress]: simplifying candidates 0.343 * [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) (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))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.346 * * [simplify]: iteration 0 : 88 enodes (cost 81 ) 0.348 * * [simplify]: iteration 1 : 292 enodes (cost 66 ) 0.353 * * [simplify]: iteration 2 : 832 enodes (cost 66 ) 0.369 * * [simplify]: iteration 3 : 2900 enodes (cost 66 ) 0.440 * * [simplify]: iteration 4 : 5002 enodes (cost 66 ) 0.441 * [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))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) 0.441 * * * [progress]: adding candidates to table 0.476 * * [progress]: iteration 3 / 4 0.476 * * * [progress]: picking best candidate 0.483 * * * * [pick]: Picked # 0.483 * * * [progress]: localizing error 0.489 * * * [progress]: generating rewritten candidates 0.489 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.495 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.499 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.499 * [taylor]: Taking taylor expansion of x in y 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.499 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.512 * [taylor]: Taking taylor expansion of -1 in y 0.512 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.512 * [taylor]: Taking taylor expansion of -1 in x 0.512 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.513 * [taylor]: Taking taylor expansion of -1 in x 0.513 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of -1 in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * * * [progress]: simplifying candidates 0.528 * [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)) 0.531 * * [simplify]: iteration 0 : 97 enodes (cost 78 ) 0.535 * * [simplify]: iteration 1 : 468 enodes (cost 63 ) 0.547 * * [simplify]: iteration 2 : 2089 enodes (cost 63 ) 0.587 * * [simplify]: iteration 3 : 5001 enodes (cost 62 ) 0.588 * [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) 0.588 * * * [progress]: adding candidates to table 0.618 * * [progress]: iteration 4 / 4 0.618 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.638 * * * [progress]: generating rewritten candidates 0.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.639 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.640 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.641 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.648 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.649 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.649 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.649 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.649 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.649 * [taylor]: Taking taylor expansion of 1/3 in y 0.649 * [taylor]: Taking taylor expansion of (log y) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.650 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.650 * [taylor]: Taking taylor expansion of 1/3 in y 0.650 * [taylor]: Taking taylor expansion of (log y) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.697 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.697 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.697 * [taylor]: Taking taylor expansion of 1/3 in y 0.697 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.698 * [taylor]: Taking taylor expansion of 1/3 in y 0.698 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.753 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.753 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.753 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.754 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.754 * [taylor]: Taking taylor expansion of 1/3 in y 0.754 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.754 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.755 * [taylor]: Taking taylor expansion of -1 in y 0.755 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.755 * [taylor]: Taking taylor expansion of 1/3 in y 0.755 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.820 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.820 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.820 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.820 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.820 * [taylor]: Taking taylor expansion of 1/3 in y 0.820 * [taylor]: Taking taylor expansion of (log y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.821 * [taylor]: Taking taylor expansion of 1/3 in y 0.821 * [taylor]: Taking taylor expansion of (log y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.874 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.874 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.874 * [taylor]: Taking taylor expansion of 1/3 in y 0.875 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.875 * [taylor]: Taking taylor expansion of 1/3 in y 0.875 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.931 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.931 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.931 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.931 * [taylor]: Taking taylor expansion of 1/3 in y 0.931 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.932 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.932 * [taylor]: Taking taylor expansion of -1 in y 0.933 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.933 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.933 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.933 * [taylor]: Taking taylor expansion of 1/3 in y 0.933 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.994 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.994 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.994 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.994 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.994 * [taylor]: Taking taylor expansion of 1/3 in y 0.994 * [taylor]: Taking taylor expansion of (log y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.994 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.994 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.994 * [taylor]: Taking taylor expansion of 1/3 in y 0.994 * [taylor]: Taking taylor expansion of (log y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 1.047 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.047 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.047 * [taylor]: Taking taylor expansion of 1/3 in y 1.047 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.047 * [taylor]: Taking taylor expansion of y in y 1.048 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.048 * [taylor]: Taking taylor expansion of 1/3 in y 1.048 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.048 * [taylor]: Taking taylor expansion of y in y 1.104 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.104 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.104 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.104 * [taylor]: Taking taylor expansion of -1 in y 1.105 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.105 * [taylor]: Taking taylor expansion of 1/3 in y 1.105 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.105 * [taylor]: Taking taylor expansion of y in y 1.106 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.106 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.106 * [taylor]: Taking taylor expansion of -1 in y 1.106 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.106 * [taylor]: Taking taylor expansion of 1/3 in y 1.107 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.173 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.173 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.173 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.173 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.173 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.173 * [taylor]: Taking taylor expansion of 1/3 in y 1.173 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.174 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.174 * [taylor]: Taking taylor expansion of 1/3 in y 1.174 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.231 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.231 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.231 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.231 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.231 * [taylor]: Taking taylor expansion of 1/3 in y 1.231 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.231 * [taylor]: Taking taylor expansion of y in y 1.232 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.232 * [taylor]: Taking taylor expansion of 1/3 in y 1.232 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.232 * [taylor]: Taking taylor expansion of y in y 1.286 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.286 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.286 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.286 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.286 * [taylor]: Taking taylor expansion of -1 in y 1.287 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.287 * [taylor]: Taking taylor expansion of 1/3 in y 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.288 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.288 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.288 * [taylor]: Taking taylor expansion of -1 in y 1.289 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.289 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.289 * [taylor]: Taking taylor expansion of 1/3 in y 1.289 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.289 * [taylor]: Taking taylor expansion of y in y 1.368 * * * [progress]: simplifying candidates 1.369 * [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)) 1.379 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.383 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.397 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.460 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.462 * [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)) 1.462 * * * [progress]: adding candidates to table 1.670 * [progress]: [Phase 3 of 3] Extracting. 1.670 * * [regime]: Finding splitpoints for: (# # # # # #) 1.672 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.672 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.689 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.712 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.733 * * * [regime]: Found split indices: #