11.165 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] 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 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of x in y 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) 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 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 1.0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [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 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1.0 in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1.0 in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.092 * * * [progress]: simplifying candidates 0.093 * [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)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.099 * * [simplify]: iteration 0 : 148 enodes (cost 123 ) 0.103 * * [simplify]: iteration 1 : 742 enodes (cost 103 ) 0.119 * * [simplify]: iteration 2 : 3453 enodes (cost 100 ) 0.179 * * [simplify]: iteration 3 : 5001 enodes (cost 100 ) 0.180 * [simplify]: Simplified to: (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* (fma y y 1.0) x) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (fma y y 1.0)) (pow (* (fma y y 1.0) x) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* (fma y y 1.0) x) 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) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* (fma y y 1.0) x) (fma x (pow 1.0 3) (* x (pow y 6))) (* (* x (fma y y 1.0)) (- 1.0 (pow y 2))) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.180 * * * [progress]: adding candidates to table 0.228 * * [progress]: iteration 2 / 4 0.228 * * * [progress]: picking best candidate 0.235 * * * * [pick]: Picked # 0.235 * * * [progress]: localizing error 0.241 * * * [progress]: generating rewritten candidates 0.241 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.247 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.250 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.251 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.255 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.256 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of -1 in y 0.267 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of -1 in x 0.267 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.268 * [taylor]: Taking taylor expansion of -1 in x 0.268 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.268 * [taylor]: Taking taylor expansion of -1 in y 0.268 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.280 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.280 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.280 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.280 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.288 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.315 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.315 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of x 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 (* 1.0 (/ 1 x)) in y 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of 1.0 in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.317 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.317 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.317 * [taylor]: Taking taylor expansion of 1.0 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [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)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.347 * * [simplify]: iteration 0 : 177 enodes (cost 177 ) 0.351 * * [simplify]: iteration 1 : 681 enodes (cost 146 ) 0.366 * * [simplify]: iteration 2 : 2809 enodes (cost 143 ) 0.423 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.424 * [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)) (expm1 (+ (* x 1.0) (* x (* y y)))) (log1p (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* (fma y y 1.0) x) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* (* x 1.0) x) (- 1.0 (pow y 2)) (* x (* x (pow y 4)))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (fma y y 1.0) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.424 * * * [progress]: adding candidates to table 0.537 * * [progress]: iteration 3 / 4 0.537 * * * [progress]: picking best candidate 0.544 * * * * [pick]: Picked # 0.544 * * * [progress]: localizing error 0.551 * * * [progress]: generating rewritten candidates 0.551 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.557 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.560 * * * [progress]: generating series expansions 0.560 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.561 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.561 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.565 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.565 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.566 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.573 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.577 * [taylor]: Taking taylor expansion of -1 in y 0.577 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of -1 in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.589 * [taylor]: Taking taylor expansion of 0 in y 0.589 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.589 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.589 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.590 * [taylor]: Taking taylor expansion of 1.0 in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.590 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.590 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of 1.0 in y 0.594 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [taylor]: Taking taylor expansion of 0 in y 0.596 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.596 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.596 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.596 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.596 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.597 * [taylor]: Taking taylor expansion of 1.0 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.597 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.598 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of 1.0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.624 * [taylor]: Taking taylor expansion of 1.0 in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.624 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.625 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.625 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 1.0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.634 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.645 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * * * [progress]: simplifying candidates 0.652 * [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) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.655 * * [simplify]: iteration 0 : 184 enodes (cost 173 ) 0.660 * * [simplify]: iteration 1 : 862 enodes (cost 149 ) 0.681 * * [simplify]: iteration 2 : 4478 enodes (cost 140 ) 0.790 * * [simplify]: iteration 3 : 5001 enodes (cost 139 ) 0.792 * [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 y) (sqrt y)) (* x y) (pow y 2) (expm1 (+ (* x 1.0) (* (* x y) y))) (log1p (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (fma x (pow y 2) (* 1.0 x)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (fma (* x x) (pow y 4) (* (* x 1.0) (* x (- 1.0 (pow y 2))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.792 * * * [progress]: adding candidates to table 0.874 * * [progress]: iteration 4 / 4 0.874 * * * [progress]: picking best candidate 0.879 * * * * [pick]: Picked # 0.879 * * * [progress]: localizing error 0.890 * * * [progress]: generating rewritten candidates 0.890 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.892 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.905 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.911 * * * [progress]: generating series expansions 0.911 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.912 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.916 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.916 * [taylor]: Taking taylor expansion of x in y 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.916 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.917 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.917 * [taylor]: Taking taylor expansion of x in x 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.917 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.924 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in (x y) around 0 0.928 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.928 * [taylor]: Taking taylor expansion of -1 in y 0.929 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 0.929 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.929 * [taylor]: Taking taylor expansion of -1 in x 0.930 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.931 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.931 * [taylor]: Taking taylor expansion of -1 in x 0.931 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) 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 y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.950 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.950 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.954 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.954 * [taylor]: Taking taylor expansion of x in y 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.954 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.955 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.955 * [taylor]: Taking taylor expansion of y in x 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.966 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.966 * [taylor]: Taking taylor expansion of -1 in y 0.966 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.966 * [taylor]: Taking taylor expansion of -1 in x 0.966 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.967 * [taylor]: Taking taylor expansion of -1 in x 0.967 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of 0 in y 0.981 * [taylor]: Taking taylor expansion of 0 in y 0.981 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.982 * [approximate]: Taking taylor expansion of (pow (* x (pow y 2)) 3) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 3) in y 0.982 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 3) in x 0.982 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (pow (* x (pow y 2)) 3) in x 0.982 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.983 * [taylor]: Taking taylor expansion of y in x 0.983 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 3) in (x y) around 0 0.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 3) in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.993 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.993 * [taylor]: Taking taylor expansion of x in y 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 3) in x 0.993 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.993 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (pow y 2))) 3) in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.994 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.994 * [taylor]: Taking taylor expansion of x in x 0.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.994 * [taylor]: Taking taylor expansion of y in x 0.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 6)) in y 0.994 * [taylor]: Taking taylor expansion of (pow y 6) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.031 * [approximate]: Taking taylor expansion of (pow (/ -1 (* x (pow y 2))) 3) in (x y) around 0 1.031 * [taylor]: Taking taylor expansion of (pow (/ -1 (* x (pow y 2))) 3) in y 1.031 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.031 * [taylor]: Taking taylor expansion of -1 in y 1.031 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.031 * [taylor]: Taking taylor expansion of x in y 1.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.031 * [taylor]: Taking taylor expansion of y in y 1.031 * [taylor]: Taking taylor expansion of (pow (/ -1 (* x (pow y 2))) 3) in x 1.031 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.032 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (pow (/ -1 (* x (pow y 2))) 3) in x 1.032 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.032 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of (/ -1 (pow y 6)) in y 1.033 * [taylor]: Taking taylor expansion of -1 in y 1.033 * [taylor]: Taking taylor expansion of (pow y 6) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of 0 in y 1.039 * [taylor]: Taking taylor expansion of 0 in y 1.044 * [taylor]: Taking taylor expansion of 0 in y 1.051 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.070 * [taylor]: Taking taylor expansion of 0 in y 1.073 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.073 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 1.074 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 1.074 * [taylor]: Taking taylor expansion of 1.0 in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.074 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.074 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.074 * [taylor]: Taking taylor expansion of y in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of 1.0 in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [taylor]: Taking taylor expansion of 0 in y 1.084 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 1.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.084 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.085 * [taylor]: Taking taylor expansion of 1.0 in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.085 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.085 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.085 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.086 * [taylor]: Taking taylor expansion of 1.0 in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.086 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.089 * [taylor]: Taking taylor expansion of 1.0 in y 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.098 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [approximate]: Taking taylor expansion of (- (/ (cbrt -1) (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 1.124 * [taylor]: Taking taylor expansion of (- (/ (cbrt -1) (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.124 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in y 1.124 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.124 * [taylor]: Taking taylor expansion of -1 in y 1.125 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.126 * [taylor]: Taking taylor expansion of 1.0 in y 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.126 * [taylor]: Taking taylor expansion of x in y 1.126 * [taylor]: Taking taylor expansion of (- (/ (cbrt -1) (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 1.126 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.129 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (- (/ (cbrt -1) (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (pow y 2))) in x 1.129 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.129 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.130 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.134 * [taylor]: Taking taylor expansion of (- (/ (cbrt -1) (pow y 2)) 1.0) in y 1.134 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.134 * [taylor]: Taking taylor expansion of -1 in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of 1.0 in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.149 * [taylor]: Taking taylor expansion of 0 in y 1.161 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [taylor]: Taking taylor expansion of 0 in y 1.190 * [taylor]: Taking taylor expansion of 0 in y 1.192 * * * [progress]: simplifying candidates 1.193 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (* x y) y) 3))) (log1p (cbrt (pow (* (* x y) y) 3))) (log (cbrt (pow (* (* x y) y) 3))) (exp (cbrt (pow (* (* x y) y) 3))) (cbrt (pow (* x y) 3)) (cbrt (pow y 3)) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (* (* x y) y)) (cbrt (* (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) 3)))) (cbrt (cbrt (pow (* (* x y) y) 3))) (cbrt (pow (* x y) 3)) (cbrt (pow y 3)) (cbrt (* (* x y) y)) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (sqrt (pow (* (* x y) y) 3))) (cbrt (sqrt (pow (* (* x y) y) 3))) (cbrt 1) (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) (/ 3 2))) (cbrt (pow (* (* x y) y) (/ 3 2))) (* (cbrt (cbrt (pow (* (* x y) y) 3))) (cbrt (cbrt (pow (* (* x y) y) 3)))) (cbrt (cbrt (pow (* (* x y) y) 3))) (* (* (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) 3))) (cbrt (pow (* (* x y) y) 3))) (sqrt (cbrt (pow (* (* x y) y) 3))) (sqrt (cbrt (pow (* (* x y) y) 3))) (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) (expm1 (pow (* (* x y) y) 3)) (log1p (pow (* (* x y) y) 3)) (* (+ (+ (log x) (log y)) (log y)) 3) (* (+ (log (* x y)) (log y)) 3) (* (log (* (* x y) y)) 3) (* (log (* (* x y) y)) 3) (* 1 3) (* 1 3) (* 1 3) (pow (* (* x y) y) (* (cbrt 3) (cbrt 3))) (pow (* (* x y) y) (sqrt 3)) (pow (* (* x y) y) 1) (pow (* x y) 3) (pow y 3) (* (* (* x y) y) (* (* x y) y)) (log (pow (* (* x y) y) 3)) (exp (pow (* (* x y) y) 3)) (* (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) 3))) (cbrt (pow (* (* x y) y) 3)) (* (* (pow (* (* x y) y) 3) (pow (* (* x y) y) 3)) (pow (* (* x y) y) 3)) (pow (* x y) 3) (pow y 3) (* (* (* x y) y) (* (* x y) y)) (sqrt (pow (* (* x y) y) 3)) (sqrt (pow (* (* x y) y) 3)) (pow (* (* x y) y) (/ 3 2)) (pow (* (* x y) y) (/ 3 2)) (expm1 (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (log1p (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (* (exp (* x 1.0)) (exp (cbrt (pow (* (* x y) y) 3)))) (log (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (exp (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (* (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3))))) (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (* (* (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3))) (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (sqrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (sqrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (+ (pow (* x 1.0) 3) (pow (cbrt (pow (* (* x y) y) 3)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) 3))) (* (* x 1.0) (cbrt (pow (* (* x y) y) 3))))) (- (* (* x 1.0) (* x 1.0)) (* (cbrt (pow (* (* x y) y) 3)) (cbrt (pow (* (* x y) y) 3)))) (- (* x 1.0) (cbrt (pow (* (* x y) y) 3))) (* x (pow y 2)) (* x (pow y 2)) (* -1 (* (cbrt -1) (* x (pow y 2)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* (pow x 3) (pow y 6)) (* (pow x 3) (pow y 6)) (* (pow x 3) (pow y 6)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (- (* 1.0 x) (* (cbrt -1) (* x (pow y 2)))) 1.200 * * [simplify]: iteration 0 : 268 enodes (cost 385 ) 1.207 * * [simplify]: iteration 1 : 1449 enodes (cost 345 ) 1.246 * * [simplify]: iteration 2 : 5001 enodes (cost 335 ) 1.248 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* x y) y (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (* (* x y) y)) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (* (* x y) y)) (* x y) y (cbrt (* (* x y) y)) (cbrt (* (* (* x y) y) (* (* x y) y))) (cbrt (sqrt (pow (* (* x y) y) 3))) (cbrt (sqrt (pow (* (* x y) y) 3))) 1 (* (* x y) y) (cbrt (pow (* (* x y) y) 3/2)) (cbrt (pow (* (* x y) y) 3/2)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 1/2) (pow (* (* x y) y) 1/2) (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) (pow (* (* x y) y) 1/2) (pow (* (* x y) y) 1/2) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (pow y 2) (expm1 (pow (* (* x y) y) 3)) (log1p (pow (* (* x y) y) 3)) (log (pow (* (* x y) y) 3)) (log (pow (* (* x y) y) 3)) (log (pow (* (* x y) y) 3)) (log (pow (* (* x y) y) 3)) 3 3 3 (pow (* (* x y) y) (* (cbrt 3) (cbrt 3))) (pow (* (* x y) y) (sqrt 3)) (* (* x y) y) (pow (* x y) 3) (pow y 3) (pow (* (* x y) y) 2) (log (pow (* (* x y) y) 3)) (exp (pow (* (* x y) y) 3)) (pow (* (* x y) y) 2) (* (* x y) y) (pow (pow (* (* x y) y) 3) 3) (pow (* x y) 3) (pow y 3) (pow (* (* x y) y) 2) (sqrt (pow (* (* x y) y) 3)) (sqrt (pow (* (* x y) y) 3)) (pow (* (* x y) y) 3/2) (pow (* (* x y) y) 3/2) (expm1 (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (log1p (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (pow (exp x) (fma y y 1.0)) (+ (log x) (log (fma y y 1.0))) (pow (exp x) (fma y y 1.0)) (* (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3))))) (cbrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (pow (fma x (pow y 2) (* 1.0 x)) 3) (sqrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (sqrt (+ (* x 1.0) (cbrt (pow (* (* x y) y) 3)))) (fma (pow x 3) (pow y 6) (pow (* x 1.0) 3)) (fma (* 1.0 1.0) (* x x) (* (* x y) (* y (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* -1 (* (cbrt -1) (* x (pow y 2)))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* x 1.0) (fma x (pow y 2) (* 1.0 x)) (* x (- 1.0 (* (pow y 2) (cbrt -1)))) 1.249 * * * [progress]: adding candidates to table 1.425 * [progress]: [Phase 3 of 3] Extracting. 1.425 * * [regime]: Finding splitpoints for: (# # # # #) 1.426 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 1.426 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.444 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.460 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.476 * * * [regime]: Found split indices: #