5.072 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (- 1.0 x) (* y (sqrt x))) 0.025 * * [simplify]: iteration 0 : 13 enodes (cost 4 ) 0.027 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 44 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 69 enodes (cost 3 ) 0.031 * * [simplify]: iteration 4 : 102 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 171 enodes (cost 3 ) 0.035 * * [simplify]: iteration 6 : 192 enodes (cost 3 ) 0.037 * * [simplify]: iteration 7 : 225 enodes (cost 3 ) 0.039 * * [simplify]: iteration 8 : 316 enodes (cost 3 ) 0.041 * * [simplify]: iteration 9 : 351 enodes (cost 3 ) 0.043 * * [simplify]: iteration 10 : 351 enodes (cost 3 ) 0.044 * [simplify]: Simplified to: (fma (sqrt x) y (- 1.0 x)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.059 * * * [progress]: generating series expansions 0.059 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.059 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.059 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.059 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.061 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.061 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0 in x 0.061 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of 0 in x 0.064 * [taylor]: Taking taylor expansion of 0 in x 0.067 * [taylor]: Taking taylor expansion of 0 in x 0.070 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.070 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.072 * [taylor]: Taking taylor expansion of x in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 0 in x 0.076 * [taylor]: Taking taylor expansion of 0 in x 0.080 * [taylor]: Taking taylor expansion of 0 in x 0.083 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.083 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.085 * [taylor]: Taking taylor expansion of -1 in y 0.085 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.085 * [taylor]: Taking taylor expansion of -1 in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.085 * [taylor]: Taking taylor expansion of -1 in y 0.085 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.085 * [taylor]: Taking taylor expansion of -1 in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.085 * [taylor]: Taking taylor expansion of -1 in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.086 * [taylor]: Taking taylor expansion of -1 in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 0 in x 0.095 * [taylor]: Taking taylor expansion of 0 in x 0.104 * * * [progress]: simplifying candidates 0.105 * [simplify]: Simplifying using # : (expm1 (* y (sqrt x))) (log1p (* y (sqrt x))) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (sqrt (* (cbrt x) (cbrt x)))) (* y (sqrt (sqrt x))) (* y (sqrt 1)) (* y (sqrt (sqrt x))) (* y 1) (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (- (+ (* +nan.0 (* (pow x 2) y)) (- (+ (* +nan.0 (* x y)) (- (* +nan.0 (* (pow x 3) y))))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) 0.108 * * [simplify]: iteration 0 : 154 enodes (cost 119 ) 0.111 * * [simplify]: iteration 1 : 632 enodes (cost 106 ) 0.127 * * [simplify]: iteration 2 : 3199 enodes (cost 100 ) 0.201 * * [simplify]: iteration 3 : 5002 enodes (cost 100 ) 0.202 * [simplify]: Simplified to: (expm1 (* y (sqrt x))) (log1p (* y (sqrt x))) (* y (sqrt x)) (log (* y (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (pow (* y (sqrt x)) 3) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (pow (* y (sqrt x)) 3) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) y) (* y (sqrt (sqrt x))) y (* y (sqrt (sqrt x))) y (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (- (* (* +nan.0 y) (- x (pow x 3))) (* +nan.0 (* (pow x 2) y))) (fma (- +nan.0) (/ y (pow x 2)) (* +nan.0 (- (/ y x) y))) (fma (- +nan.0) (/ y (pow x 2)) (* +nan.0 (- (/ y x) y))) 0.202 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.295 * * * [progress]: generating series expansions 0.295 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.295 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.295 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.296 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.297 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.300 * [taylor]: Taking taylor expansion of 0 in x 0.303 * [taylor]: Taking taylor expansion of 0 in x 0.306 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.306 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 0 in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.321 * [taylor]: Taking taylor expansion of -1 in y 0.321 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.321 * [taylor]: Taking taylor expansion of -1 in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.322 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.322 * [taylor]: Taking taylor expansion of -1 in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 0 in x 0.335 * [taylor]: Taking taylor expansion of 0 in x 0.341 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.341 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 0.341 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.341 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.341 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.341 * [taylor]: Taking taylor expansion of 1/4 in x 0.341 * [taylor]: Taking taylor expansion of (log x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.342 * [taylor]: Taking taylor expansion of 1/4 in y 0.342 * [taylor]: Taking taylor expansion of (log x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 0.342 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 0.342 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 0.342 * [taylor]: Taking taylor expansion of 1/4 in y 0.342 * [taylor]: Taking taylor expansion of (log x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.344 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.344 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.344 * [taylor]: Taking taylor expansion of 1/4 in x 0.344 * [taylor]: Taking taylor expansion of (log x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.354 * [taylor]: Taking taylor expansion of 0 in x 0.354 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 0.354 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 0.354 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of 1/4 in x 0.354 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.355 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.355 * [taylor]: Taking taylor expansion of 1/4 in y 0.355 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.356 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.356 * [taylor]: Taking taylor expansion of 1/4 in y 0.356 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.356 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.356 * [taylor]: Taking taylor expansion of 1/4 in x 0.356 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 0 in x 0.365 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 0.374 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.374 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.379 * [taylor]: Taking taylor expansion of -1 in y 0.379 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.379 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.379 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.379 * [taylor]: Taking taylor expansion of -1 in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 0.379 * [taylor]: Taking taylor expansion of -1 in y 0.379 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.380 * [taylor]: Taking taylor expansion of -1 in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (* -1 (sqrt (sqrt (/ -1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.380 * [taylor]: Taking taylor expansion of -1 in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 0 in x 0.393 * [taylor]: Taking taylor expansion of 0 in x 0.423 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.423 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 0.423 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.423 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.423 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.423 * [taylor]: Taking taylor expansion of 1/4 in x 0.423 * [taylor]: Taking taylor expansion of (log x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.424 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.424 * [taylor]: Taking taylor expansion of 1/4 in x 0.424 * [taylor]: Taking taylor expansion of (log x) in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.475 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 0.475 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.475 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.475 * [taylor]: Taking taylor expansion of 1/4 in x 0.475 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of 1/4 in x 0.476 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.533 * [taylor]: Taking taylor expansion of -1 in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.558 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.558 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.558 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.558 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.558 * [taylor]: Taking taylor expansion of 1/4 in x 0.558 * [taylor]: Taking taylor expansion of (log x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 0.559 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 0.559 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 0.559 * [taylor]: Taking taylor expansion of 1/4 in x 0.559 * [taylor]: Taking taylor expansion of (log x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.613 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 0.613 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.613 * [taylor]: Taking taylor expansion of 1/4 in x 0.613 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of 1/4 in x 0.614 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.670 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.670 * [taylor]: Taking taylor expansion of -1 in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.675 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.675 * [taylor]: Taking taylor expansion of -1 in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.695 * * * [progress]: simplifying candidates 0.697 * [simplify]: Simplifying using # : (expm1 (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (log1p (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (+ (+ (log y) (log (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (+ (log (* y (sqrt (sqrt x)))) (log (sqrt (sqrt x)))) (log (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (exp (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt 1))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (sqrt 1)) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) 1) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (expm1 (* y (sqrt (sqrt x)))) (log1p (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (+ (log y) (log (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt 1))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt 1)) (* y (sqrt (sqrt (sqrt x)))) (* y 1) (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (- (+ (* +nan.0 (* (pow x 2) y)) (- (+ (* +nan.0 (* x y)) (- (* +nan.0 (* (pow x 3) y))))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (* (sqrt +nan.0) y) (+ (* +nan.0 (/ y (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ y (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ y (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 0.702 * * [simplify]: iteration 0 : 351 enodes (cost 549 ) 0.708 * * [simplify]: iteration 1 : 1519 enodes (cost 488 ) 0.738 * * [simplify]: iteration 2 : 5001 enodes (cost 461 ) 0.740 * [simplify]: Simplified to: (expm1 (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (log1p (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* y (sqrt x)) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x))) (pow (exp y) (sqrt x)) (pow (* y (sqrt x)) 3) (pow (* y (sqrt x)) 3) (* (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))))) (cbrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (pow (* y (sqrt x)) 3) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (sqrt (* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* y (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (* (sqrt (sqrt x)) (fabs (cbrt (sqrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (sqrt x) (expm1 (* y (sqrt (sqrt x)))) (log1p (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (log (* y (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (fabs (cbrt (sqrt x))) y) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (fma (- (* +nan.0 (pow x 2))) y (* +nan.0 (- (* x y) (* (pow x 3) y)))) (fma (- +nan.0) (/ y (pow x 2)) (* +nan.0 (- (/ y x) y))) (fma (- +nan.0) (/ y (pow x 2)) (* +nan.0 (- (/ y x) y))) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (* (sqrt +nan.0) y) (- (* +nan.0 (/ y (* (sqrt +nan.0) x))) (* (/ y (pow x 2)) (- (/ +nan.0 (sqrt +nan.0)) (/ +nan.0 (pow (sqrt +nan.0) 3)))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (- (/ +nan.0 (* (sqrt +nan.0) x)) (* (/ +nan.0 (pow x 2)) (- (/ 1 (pow (sqrt +nan.0) 3)) (/ 1 (sqrt +nan.0)))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (- (/ +nan.0 (* (sqrt +nan.0) x)) (* (/ +nan.0 (pow x 2)) (- (/ 1 (pow (sqrt +nan.0) 3)) (/ 1 (sqrt +nan.0)))))) 0.740 * * * [progress]: adding candidates to table 0.986 * * [progress]: iteration 3 / 4 0.986 * * * [progress]: picking best candidate 1.002 * * * * [pick]: Picked # 1.002 * * * [progress]: localizing error 1.017 * * * [progress]: generating rewritten candidates 1.017 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.040 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.046 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.056 * * * [progress]: generating series expansions 1.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.056 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 1.056 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 1.056 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.058 * [taylor]: Taking taylor expansion of y in x 1.058 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 1.058 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 1.058 * [taylor]: Taking taylor expansion of (sqrt x) in y 1.058 * [taylor]: Taking taylor expansion of x in y 1.058 * [taylor]: Taking taylor expansion of y in y 1.058 * [taylor]: Taking taylor expansion of 0 in x 1.058 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of 0 in x 1.061 * [taylor]: Taking taylor expansion of 0 in x 1.064 * [taylor]: Taking taylor expansion of 0 in x 1.067 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 1.067 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 1.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.068 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.068 * [taylor]: Taking taylor expansion of x in y 1.069 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.069 * [taylor]: Taking taylor expansion of y in y 1.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.071 * [taylor]: Taking taylor expansion of 0 in x 1.072 * [taylor]: Taking taylor expansion of 0 in x 1.080 * [taylor]: Taking taylor expansion of 0 in x 1.084 * [approximate]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in (y x) around 0 1.084 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in x 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (* -1 x))))) in x 1.084 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (* -1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of 1/4 in x 1.084 * [taylor]: Taking taylor expansion of (log (/ 1 (* -1 x))) in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (* -1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.084 * [taylor]: Taking taylor expansion of -1 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.086 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.086 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.086 * [taylor]: Taking taylor expansion of -1 in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.091 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 1.091 * [taylor]: Taking taylor expansion of -1 in y 1.091 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 1.091 * [taylor]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in y 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (* -1 x))))) in y 1.091 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (* -1 x)))) in y 1.091 * [taylor]: Taking taylor expansion of 1/4 in y 1.091 * [taylor]: Taking taylor expansion of (log (/ 1 (* -1 x))) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (* -1 x)) in y 1.091 * [taylor]: Taking taylor expansion of (* -1 x) in y 1.091 * [taylor]: Taking taylor expansion of -1 in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.092 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.092 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.092 * [taylor]: Taking taylor expansion of -1 in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 1.092 * [taylor]: Taking taylor expansion of -1 in y 1.092 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* -1 x)) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 1.092 * [taylor]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in y 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (* -1 x))))) in y 1.092 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (* -1 x)))) in y 1.092 * [taylor]: Taking taylor expansion of 1/4 in y 1.092 * [taylor]: Taking taylor expansion of (log (/ 1 (* -1 x))) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 (* -1 x)) in y 1.092 * [taylor]: Taking taylor expansion of (* -1 x) in y 1.092 * [taylor]: Taking taylor expansion of -1 in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 1.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.093 * [taylor]: Taking taylor expansion of -1 in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x))))) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 1/4 in x 1.093 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.093 * [taylor]: Taking taylor expansion of -1 in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.095 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of 0 in x 1.116 * [taylor]: Taking taylor expansion of 0 in x 1.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.139 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 1.139 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 1.139 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 1.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 1.139 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 1.139 * [taylor]: Taking taylor expansion of 1/4 in x 1.139 * [taylor]: Taking taylor expansion of (log x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.140 * [taylor]: Taking taylor expansion of y in x 1.140 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 1.140 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 1.140 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 1.140 * [taylor]: Taking taylor expansion of 1/4 in y 1.140 * [taylor]: Taking taylor expansion of (log x) in y 1.140 * [taylor]: Taking taylor expansion of x in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 1.140 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 1.140 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 1.140 * [taylor]: Taking taylor expansion of 1/4 in y 1.140 * [taylor]: Taking taylor expansion of (log x) in y 1.140 * [taylor]: Taking taylor expansion of x in y 1.140 * [taylor]: Taking taylor expansion of y in y 1.140 * [taylor]: Taking taylor expansion of 0 in x 1.142 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 1.142 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 1.142 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 1.142 * [taylor]: Taking taylor expansion of 1/4 in x 1.142 * [taylor]: Taking taylor expansion of (log x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of 0 in x 1.151 * [taylor]: Taking taylor expansion of 0 in x 1.151 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 1.151 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 1.151 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 1.151 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 1.151 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 1.151 * [taylor]: Taking taylor expansion of 1/4 in x 1.151 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.152 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 1.152 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 1.152 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 1.152 * [taylor]: Taking taylor expansion of 1/4 in y 1.152 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 1.153 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 1.153 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 1.153 * [taylor]: Taking taylor expansion of 1/4 in y 1.153 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.153 * [taylor]: Taking taylor expansion of x in y 1.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.153 * [taylor]: Taking taylor expansion of y in y 1.153 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 1.153 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 1.153 * [taylor]: Taking taylor expansion of 1/4 in x 1.153 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of 0 in x 1.167 * [taylor]: Taking taylor expansion of 0 in x 1.175 * [taylor]: Taking taylor expansion of 0 in x 1.175 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 1.175 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 1.176 * [taylor]: Taking taylor expansion of -1 in x 1.176 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.176 * [taylor]: Taking taylor expansion of y in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.176 * [taylor]: Taking taylor expansion of -1 in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.180 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 1.180 * [taylor]: Taking taylor expansion of -1 in y 1.180 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.181 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.181 * [taylor]: Taking taylor expansion of -1 in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.181 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 1.181 * [taylor]: Taking taylor expansion of -1 in y 1.181 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 1.181 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.181 * [taylor]: Taking taylor expansion of -1 in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of (* -1 (sqrt (sqrt (/ -1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.182 * [taylor]: Taking taylor expansion of -1 in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of 0 in x 1.194 * [taylor]: Taking taylor expansion of 0 in x 1.218 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.218 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 1.218 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 1.218 * [taylor]: Taking taylor expansion of 1/4 in x 1.218 * [taylor]: Taking taylor expansion of (log x) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 1.219 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 1.219 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 1.219 * [taylor]: Taking taylor expansion of 1/4 in x 1.219 * [taylor]: Taking taylor expansion of (log x) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.271 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 1.271 * [taylor]: Taking taylor expansion of 1/4 in x 1.271 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 1.272 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 1.272 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 1.272 * [taylor]: Taking taylor expansion of 1/4 in x 1.272 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.329 * [taylor]: Taking taylor expansion of -1 in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.335 * [taylor]: Taking taylor expansion of -1 in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.355 * [approximate]: Taking taylor expansion of (pow (/ 1 x) -1/4) in (x) around 0 1.355 * [taylor]: Taking taylor expansion of (pow (/ 1 x) -1/4) in x 1.355 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log (/ 1 x)))) in x 1.355 * [taylor]: Taking taylor expansion of (* -1/4 (log (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of -1/4 in x 1.356 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.356 * [taylor]: Taking taylor expansion of (pow (/ 1 x) -1/4) in x 1.356 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log (/ 1 x)))) in x 1.356 * [taylor]: Taking taylor expansion of (* -1/4 (log (/ 1 x))) in x 1.356 * [taylor]: Taking taylor expansion of -1/4 in x 1.356 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.356 * [taylor]: Taking taylor expansion of x in x 1.414 * [approximate]: Taking taylor expansion of (pow x -1/4) in (x) around 0 1.414 * [taylor]: Taking taylor expansion of (pow x -1/4) in x 1.414 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in x 1.414 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in x 1.414 * [taylor]: Taking taylor expansion of -1/4 in x 1.414 * [taylor]: Taking taylor expansion of (log x) in x 1.414 * [taylor]: Taking taylor expansion of x in x 1.415 * [taylor]: Taking taylor expansion of (pow x -1/4) in x 1.415 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in x 1.415 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in x 1.415 * [taylor]: Taking taylor expansion of -1/4 in x 1.415 * [taylor]: Taking taylor expansion of (log x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.463 * [approximate]: Taking taylor expansion of (pow (* -1 x) -1/4) in (x) around 0 1.463 * [taylor]: Taking taylor expansion of (pow (* -1 x) -1/4) in x 1.463 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log (* -1 x)))) in x 1.463 * [taylor]: Taking taylor expansion of (* -1/4 (log (* -1 x))) in x 1.463 * [taylor]: Taking taylor expansion of -1/4 in x 1.463 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.463 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.463 * [taylor]: Taking taylor expansion of -1 in x 1.463 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (pow (* -1 x) -1/4) in x 1.465 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log (* -1 x)))) in x 1.465 * [taylor]: Taking taylor expansion of (* -1/4 (log (* -1 x))) in x 1.465 * [taylor]: Taking taylor expansion of -1/4 in x 1.465 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.465 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.465 * [taylor]: Taking taylor expansion of -1 in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.530 * * * [progress]: simplifying candidates 1.531 * [simplify]: Simplifying using # : (expm1 (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (log1p (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (+ (+ (log y) (log (sqrt (sqrt x)))) (* (- (log x)) -1/4)) (+ (+ (log y) (log (sqrt (sqrt x)))) (* (- 0 (log x)) -1/4)) (+ (+ (log y) (log (sqrt (sqrt x)))) (* (- (log 1) (log x)) -1/4)) (+ (+ (log y) (log (sqrt (sqrt x)))) (* (log (/ 1 x)) -1/4)) (+ (+ (log y) (log (sqrt (sqrt x)))) (* (log (/ 1 x)) -1/4)) (+ (+ (log y) (log (sqrt (sqrt x)))) (log (pow (/ 1 x) -1/4))) (+ (log (* y (sqrt (sqrt x)))) (* (- (log x)) -1/4)) (+ (log (* y (sqrt (sqrt x)))) (* (- 0 (log x)) -1/4)) (+ (log (* y (sqrt (sqrt x)))) (* (- (log 1) (log x)) -1/4)) (+ (log (* y (sqrt (sqrt x)))) (* (log (/ 1 x)) -1/4)) (+ (log (* y (sqrt (sqrt x)))) (* (log (/ 1 x)) -1/4)) (+ (log (* y (sqrt (sqrt x)))) (log (pow (/ 1 x) -1/4))) (log (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (exp (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (* (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (* (pow (/ 1 x) -1/4) (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/4))) (* (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (* (* (pow (/ 1 x) -1/4) (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/4))) (* (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)))) (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (* (* (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (sqrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (sqrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (* (* y (sqrt (sqrt x))) (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (sqrt (/ 1 x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (* (cbrt 1) (cbrt 1)) 1) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (sqrt 1) (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (sqrt 1) (sqrt x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (sqrt 1) 1) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 (sqrt x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 1) -1/4)) (* (* y (sqrt (sqrt x))) (pow 1 -1/4)) (* (* y (sqrt (sqrt x))) (pow 1 -1/4)) (* (* y (sqrt (sqrt x))) (* (cbrt (pow (/ 1 x) -1/4)) (cbrt (pow (/ 1 x) -1/4)))) (* (* y (sqrt (sqrt x))) (sqrt (pow (/ 1 x) -1/4))) (* (* y (sqrt (sqrt x))) 1) (* (* y (sqrt (sqrt x))) (pow (/ 1 x) (/ -1/4 2))) (* (sqrt (sqrt x)) (pow (/ 1 x) -1/4)) (expm1 (* y (sqrt (sqrt x)))) (log1p (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (+ (log y) (log (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (* (* (* y y) y) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x)))) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (* (* (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* y (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt (sqrt 1))) (* y (sqrt (sqrt (sqrt x)))) (* y (sqrt 1)) (* y (sqrt (sqrt (sqrt x)))) (* y 1) (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (* (* (sqrt (sqrt x)) (sqrt (sqrt x))) (sqrt (sqrt x))) (sqrt (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt 1)) (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (sqrt 1) (sqrt (sqrt x)) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (expm1 (pow (/ 1 x) -1/4)) (log1p (pow (/ 1 x) -1/4)) (* (- (log x)) -1/4) (* (- 0 (log x)) -1/4) (* (- (log 1) (log x)) -1/4) (* (log (/ 1 x)) -1/4) (* (log (/ 1 x)) -1/4) (* -1 -1/4) (* (- 1) -1/4) (* 1 -1/4) (pow (/ 1 x) (* (cbrt -1/4) (cbrt -1/4))) (pow (/ 1 x) (sqrt -1/4)) (pow (/ 1 x) 1) (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/4) (pow (cbrt (/ 1 x)) -1/4) (pow (sqrt (/ 1 x)) -1/4) (pow (sqrt (/ 1 x)) -1/4) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/4) (pow (/ (cbrt 1) (cbrt x)) -1/4) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/4) (pow (/ (cbrt 1) (sqrt x)) -1/4) (pow (/ (* (cbrt 1) (cbrt 1)) 1) -1/4) (pow (/ (cbrt 1) x) -1/4) (pow (/ (sqrt 1) (* (cbrt x) (cbrt x))) -1/4) (pow (/ (sqrt 1) (cbrt x)) -1/4) (pow (/ (sqrt 1) (sqrt x)) -1/4) (pow (/ (sqrt 1) (sqrt x)) -1/4) (pow (/ (sqrt 1) 1) -1/4) (pow (/ (sqrt 1) x) -1/4) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4) (pow (/ 1 (cbrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) (pow (/ 1 1) -1/4) (pow (/ 1 x) -1/4) (pow 1 -1/4) (pow (/ 1 x) -1/4) (pow 1 -1/4) (pow (/ 1 x) -1/4) (log (pow (/ 1 x) -1/4)) (exp (pow (/ 1 x) -1/4)) (* (cbrt (pow (/ 1 x) -1/4)) (cbrt (pow (/ 1 x) -1/4))) (cbrt (pow (/ 1 x) -1/4)) (* (* (pow (/ 1 x) -1/4) (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/4)) (sqrt (pow (/ 1 x) -1/4)) (sqrt (pow (/ 1 x) -1/4)) (pow (/ 1 x) (/ -1/4 2)) (pow (/ 1 x) (/ -1/4 2)) (- (+ (* +nan.0 (* (pow x 2) y)) (- (+ (* +nan.0 (* x y)) (- (* +nan.0 (* (pow x 3) y))))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (* (sqrt +nan.0) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y)) (+ (* +nan.0 (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (sqrt +nan.0) (pow x 2))))))))) (* (pow x 1/4) y) (* (pow x 1/4) y) (- (* (sqrt +nan.0) y) (+ (* +nan.0 (/ y (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ y (* (sqrt +nan.0) (pow x 2)))) (- (* +nan.0 (/ y (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) (pow x 1/4) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (pow x 1/4) (pow (/ 1 x) -1/4) (exp (* -1/4 (+ (log -1) (log (/ -1 x))))) 1.539 * * [simplify]: iteration 0 : 641 enodes (cost 800 ) 1.552 * * [simplify]: iteration 1 : 2914 enodes (cost 727 ) 1.599 * * [simplify]: iteration 2 : 5001 enodes (cost 710 ) 1.603 * [simplify]: Simplified to: (expm1 (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (log1p (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (fma (log x) 1/4 (log (* y (sqrt (sqrt x))))) (exp (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (pow (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)) 3) (pow (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)) 3) (* (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)))) (cbrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (pow (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4)) 3) (sqrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (sqrt (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))) (* (* y (sqrt (sqrt x))) (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (sqrt (/ 1 x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (* (cbrt 1) (cbrt 1)) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 (sqrt x)) -1/4)) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4)) (* (* y (sqrt (sqrt x))) (pow (/ 1 (sqrt x)) -1/4)) (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (* (cbrt (pow (/ 1 x) -1/4)) (cbrt (pow (/ 1 x) -1/4)))) (* (* y (sqrt (sqrt x))) (sqrt (pow (/ 1 x) -1/4))) (* y (sqrt (sqrt x))) (* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/8)) (* (sqrt (sqrt x)) (pow (/ 1 x) -1/4)) (expm1 (* y (sqrt (sqrt x)))) (log1p (* y (sqrt (sqrt x)))) (* y (sqrt (sqrt x))) (log (* y (sqrt (sqrt x)))) (log (* y (sqrt (sqrt x)))) (exp (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (* (cbrt (* y (sqrt (sqrt x)))) (cbrt (* y (sqrt (sqrt x))))) (cbrt (* y (sqrt (sqrt x)))) (pow (* y (sqrt (sqrt x))) 3) (sqrt (* y (sqrt (sqrt x)))) (sqrt (* y (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* (sqrt y) (sqrt (sqrt (sqrt x)))) (* y (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x))))) (* (fabs (cbrt (sqrt x))) y) (* y (sqrt (sqrt (* (cbrt x) (cbrt x))))) (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* y (sqrt (sqrt (sqrt x)))) y (* (cbrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (expm1 (sqrt (sqrt x))) (log1p (sqrt (sqrt x))) (log (sqrt (sqrt x))) (exp (sqrt (sqrt x))) (* (cbrt (sqrt (sqrt x))) (cbrt (sqrt (sqrt x)))) (cbrt (sqrt (sqrt x))) (pow (sqrt (sqrt x)) 3) (fabs (cbrt (sqrt x))) (sqrt (cbrt (sqrt x))) (sqrt (sqrt (* (cbrt x) (cbrt x)))) (sqrt (sqrt (cbrt x))) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) 1 (sqrt (sqrt x)) 1/4 1/2 1/4 (sqrt (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))) (expm1 (pow (/ 1 x) -1/4)) (log1p (pow (/ 1 x) -1/4)) (* (log x) 1/4) (* (log x) 1/4) (* (log x) 1/4) (* (log x) 1/4) (* (log x) 1/4) 1/4 1/4 -1/4 (pow (/ 1 x) (* (cbrt -1/4) (cbrt -1/4))) (pow (/ 1 x) (sqrt -1/4)) (/ 1 x) (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/4) (pow (cbrt (/ 1 x)) -1/4) (pow (sqrt (/ 1 x)) -1/4) (pow (sqrt (/ 1 x)) -1/4) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/4) (pow (/ (cbrt 1) (cbrt x)) -1/4) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/4) (pow (/ (cbrt 1) (sqrt x)) -1/4) (pow (* (cbrt 1) (cbrt 1)) -1/4) (pow (/ (cbrt 1) x) -1/4) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4) (pow (/ 1 (cbrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) 1 (pow (/ 1 x) -1/4) (pow (/ 1 (* (cbrt x) (cbrt x))) -1/4) (pow (/ 1 (cbrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) (pow (/ 1 (sqrt x)) -1/4) 1 (pow (/ 1 x) -1/4) 1 (pow (/ 1 x) -1/4) 1 (pow (/ 1 x) -1/4) (* (log x) 1/4) (exp (pow (/ 1 x) -1/4)) (* (cbrt (pow (/ 1 x) -1/4)) (cbrt (pow (/ 1 x) -1/4))) (cbrt (pow (/ 1 x) -1/4)) (pow (pow (/ 1 x) -1/4) 3) (sqrt (pow (/ 1 x) -1/4)) (sqrt (pow (/ 1 x) -1/4)) (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8) (fma (- (* +nan.0 (pow x 2))) y (* +nan.0 (- (* x y) (* (pow x 3) y)))) (fma (- +nan.0) (/ y (pow x 2)) (* +nan.0 (- (/ y x) y))) (+ (- (* (sqrt +nan.0) (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y)) (* +nan.0 (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (pow (sqrt +nan.0) 3) (pow x 2))))) (* +nan.0 (- (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (sqrt +nan.0) x)) (/ (* (exp (* 1/4 (- (log -1) (log (/ -1 x))))) y) (* (sqrt +nan.0) (pow x 2)))))) (* (pow x 1/4) y) (* (pow x 1/4) y) (+ (- (* (sqrt +nan.0) y) (* +nan.0 (/ y (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ y (* (sqrt +nan.0) (pow x 2))) (/ y (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (pow x 1/4) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (pow x 1/4) (pow (/ 1 x) -1/4) (* (pow (/ -1 x) -1/4) (pow -1 -1/4)) 1.603 * * * [progress]: adding candidates to table 1.908 * * [progress]: iteration 4 / 4 1.908 * * * [progress]: picking best candidate 1.917 * * * * [pick]: Picked # 1.917 * * * [progress]: localizing error 1.932 * * * [progress]: generating rewritten candidates 1.932 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.966 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.003 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.031 * * * [progress]: generating series expansions 2.031 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.031 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 2.031 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.031 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.031 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.031 * [taylor]: Taking taylor expansion of 1/4 in x 2.031 * [taylor]: Taking taylor expansion of (log x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.033 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.033 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.033 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.033 * [taylor]: Taking taylor expansion of 1/4 in x 2.033 * [taylor]: Taking taylor expansion of (log x) in x 2.033 * [taylor]: Taking taylor expansion of x in x 2.081 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.081 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.081 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.081 * [taylor]: Taking taylor expansion of 1/4 in x 2.081 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.082 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.082 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.082 * [taylor]: Taking taylor expansion of 1/4 in x 2.082 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.139 * [approximate]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in (x) around 0 2.139 * [taylor]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in x 2.139 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (* -1 x))))) in x 2.139 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (* -1 x)))) in x 2.139 * [taylor]: Taking taylor expansion of 1/4 in x 2.139 * [taylor]: Taking taylor expansion of (log (/ 1 (* -1 x))) in x 2.139 * [taylor]: Taking taylor expansion of (/ 1 (* -1 x)) in x 2.139 * [taylor]: Taking taylor expansion of (* -1 x) in x 2.139 * [taylor]: Taking taylor expansion of -1 in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (pow (/ 1 (* -1 x)) 1/4) in x 2.141 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (* -1 x))))) in x 2.141 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (* -1 x)))) in x 2.141 * [taylor]: Taking taylor expansion of 1/4 in x 2.141 * [taylor]: Taking taylor expansion of (log (/ 1 (* -1 x))) in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 (* -1 x)) in x 2.141 * [taylor]: Taking taylor expansion of (* -1 x) in x 2.141 * [taylor]: Taking taylor expansion of -1 in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.208 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 2.208 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 2.208 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of y in x 2.210 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 2.210 * [taylor]: Taking taylor expansion of (sqrt x) in y 2.210 * [taylor]: Taking taylor expansion of x in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 2.210 * [taylor]: Taking taylor expansion of (sqrt x) in y 2.210 * [taylor]: Taking taylor expansion of x in y 2.210 * [taylor]: Taking taylor expansion of y in y 2.210 * [taylor]: Taking taylor expansion of 0 in x 2.210 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.212 * [taylor]: Taking taylor expansion of 0 in x 2.213 * [taylor]: Taking taylor expansion of 0 in x 2.216 * [taylor]: Taking taylor expansion of 0 in x 2.219 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 2.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.220 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.220 * [taylor]: Taking taylor expansion of x in y 2.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.221 * [taylor]: Taking taylor expansion of y in y 2.221 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.221 * [taylor]: Taking taylor expansion of x in y 2.221 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.221 * [taylor]: Taking taylor expansion of y in y 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.223 * [taylor]: Taking taylor expansion of 0 in x 2.225 * [taylor]: Taking taylor expansion of 0 in x 2.229 * [taylor]: Taking taylor expansion of 0 in x 2.232 * [approximate]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in (y x) around 0 2.232 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in x 2.232 * [taylor]: Taking taylor expansion of -1 in x 2.232 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 2.232 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 2.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 2.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 2.232 * [taylor]: Taking taylor expansion of 1/4 in x 2.232 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.232 * [taylor]: Taking taylor expansion of -1 in x 2.232 * [taylor]: Taking taylor expansion of x in x 2.234 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 2.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.234 * [taylor]: Taking taylor expansion of y in x 2.234 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.234 * [taylor]: Taking taylor expansion of -1 in x 2.234 * [taylor]: Taking taylor expansion of x in x 2.239 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 2.239 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 2.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 2.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 2.239 * [taylor]: Taking taylor expansion of 1/4 in y 2.239 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.239 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 2.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.239 * [taylor]: Taking taylor expansion of y in y 2.239 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 2.239 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 2.239 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.239 * [taylor]: Taking taylor expansion of -1 in y 2.239 * [taylor]: Taking taylor expansion of x in y 2.240 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x)))))) in y 2.240 * [taylor]: Taking taylor expansion of -1 in y 2.240 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 2.240 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in y 2.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in y 2.240 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in y 2.240 * [taylor]: Taking taylor expansion of 1/4 in y 2.240 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in y 2.240 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.240 * [taylor]: Taking taylor expansion of -1 in y 2.240 * [taylor]: Taking taylor expansion of x in y 2.240 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 2.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.240 * [taylor]: Taking taylor expansion of y in y 2.240 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 2.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 2.240 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.240 * [taylor]: Taking taylor expansion of -1 in y 2.240 * [taylor]: Taking taylor expansion of x in y 2.241 * [taylor]: Taking taylor expansion of (* -1 (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x))))) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of (* (pow (/ -1 x) 1/4) (sqrt (sqrt (/ -1 x)))) in x 2.241 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 1/4) in x 2.241 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ -1 x)))) in x 2.241 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ -1 x))) in x 2.241 * [taylor]: Taking taylor expansion of 1/4 in x 2.241 * [taylor]: Taking taylor expansion of (log (/ -1 x)) in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.243 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.243 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.243 * [taylor]: Taking taylor expansion of -1 in x 2.243 * [taylor]: Taking taylor expansion of x in x 2.257 * [taylor]: Taking taylor expansion of 0 in x 2.269 * [taylor]: Taking taylor expansion of 0 in x 2.291 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.292 * [approximate]: Taking taylor expansion of (* (pow x 1/4) y) in (y x) around 0 2.292 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in x 2.292 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.292 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.292 * [taylor]: Taking taylor expansion of 1/4 in x 2.292 * [taylor]: Taking taylor expansion of (log x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of y in x 2.292 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 2.292 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 2.292 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 2.292 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 2.292 * [taylor]: Taking taylor expansion of 1/4 in y 2.292 * [taylor]: Taking taylor expansion of (log x) in y 2.292 * [taylor]: Taking taylor expansion of x in y 2.293 * [taylor]: Taking taylor expansion of y in y 2.293 * [taylor]: Taking taylor expansion of (* (pow x 1/4) y) in y 2.293 * [taylor]: Taking taylor expansion of (pow x 1/4) in y 2.293 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in y 2.293 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in y 2.293 * [taylor]: Taking taylor expansion of 1/4 in y 2.293 * [taylor]: Taking taylor expansion of (log x) in y 2.293 * [taylor]: Taking taylor expansion of x in y 2.293 * [taylor]: Taking taylor expansion of y in y 2.293 * [taylor]: Taking taylor expansion of 0 in x 2.294 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.294 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.295 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.295 * [taylor]: Taking taylor expansion of 1/4 in x 2.295 * [taylor]: Taking taylor expansion of (log x) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.298 * [taylor]: Taking taylor expansion of 0 in x 2.303 * [taylor]: Taking taylor expansion of 0 in x 2.304 * [approximate]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in (y x) around 0 2.304 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in x 2.304 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.304 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.304 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.304 * [taylor]: Taking taylor expansion of 1/4 in x 2.304 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.305 * [taylor]: Taking taylor expansion of y in x 2.305 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 2.305 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 2.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 2.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 2.305 * [taylor]: Taking taylor expansion of 1/4 in y 2.305 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.305 * [taylor]: Taking taylor expansion of x in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.305 * [taylor]: Taking taylor expansion of y in y 2.305 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 2.305 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 2.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 2.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 2.305 * [taylor]: Taking taylor expansion of 1/4 in y 2.305 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.305 * [taylor]: Taking taylor expansion of x in y 2.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.305 * [taylor]: Taking taylor expansion of y in y 2.306 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.306 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.306 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.306 * [taylor]: Taking taylor expansion of 1/4 in x 2.306 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.306 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of 0 in x 2.315 * [taylor]: Taking taylor expansion of 0 in x 2.322 * [taylor]: Taking taylor expansion of 0 in x 2.323 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in (y x) around 0 2.323 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in x 2.323 * [taylor]: Taking taylor expansion of -1 in x 2.323 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in x 2.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.323 * [taylor]: Taking taylor expansion of y in x 2.323 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.323 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.323 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.323 * [taylor]: Taking taylor expansion of -1 in x 2.323 * [taylor]: Taking taylor expansion of x in x 2.328 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 2.328 * [taylor]: Taking taylor expansion of -1 in y 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 2.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 2.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 2.328 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.328 * [taylor]: Taking taylor expansion of -1 in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 y) (sqrt (sqrt (/ -1 x))))) in y 2.328 * [taylor]: Taking taylor expansion of -1 in y 2.328 * [taylor]: Taking taylor expansion of (* (/ 1 y) (sqrt (sqrt (/ -1 x)))) in y 2.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.329 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in y 2.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 2.329 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.329 * [taylor]: Taking taylor expansion of -1 in y 2.329 * [taylor]: Taking taylor expansion of x in y 2.329 * [taylor]: Taking taylor expansion of (* -1 (sqrt (sqrt (/ -1 x)))) in x 2.329 * [taylor]: Taking taylor expansion of -1 in x 2.329 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.329 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.329 * [taylor]: Taking taylor expansion of -1 in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of 0 in x 2.347 * [taylor]: Taking taylor expansion of 0 in x 2.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.372 * [approximate]: Taking taylor expansion of (pow x 1/4) in (x) around 0 2.372 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.372 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.372 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.372 * [taylor]: Taking taylor expansion of 1/4 in x 2.372 * [taylor]: Taking taylor expansion of (log x) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (pow x 1/4) in x 2.373 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log x))) in x 2.373 * [taylor]: Taking taylor expansion of (* 1/4 (log x)) in x 2.373 * [taylor]: Taking taylor expansion of 1/4 in x 2.373 * [taylor]: Taking taylor expansion of (log x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.429 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/4) in (x) around 0 2.429 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.429 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.429 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.429 * [taylor]: Taking taylor expansion of 1/4 in x 2.429 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.429 * [taylor]: Taking taylor expansion of x in x 2.430 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in x 2.430 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in x 2.430 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in x 2.430 * [taylor]: Taking taylor expansion of 1/4 in x 2.430 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.482 * [approximate]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in (x) around 0 2.482 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.482 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.482 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.482 * [taylor]: Taking taylor expansion of -1 in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.487 * [taylor]: Taking taylor expansion of (sqrt (sqrt (/ -1 x))) in x 2.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.487 * [taylor]: Taking taylor expansion of -1 in x 2.487 * [taylor]: Taking taylor expansion of x in x 2.514 * * * [progress]: simplifying candidates 2.518 * [simplify]: Simplifying using # : (expm1 (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (log1p (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (+ -1/8 -1/8) (* (/ 1 x) (/ 1 x)) (+ (* (- (log x)) -1/8) (* (- (log x)) -1/8)) (+ (* (- (log x)) -1/8) (* (- 0 (log x)) -1/8)) (+ (* (- (log x)) -1/8) (* (- (log 1) (log x)) -1/8)) (+ (* (- (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- (log x)) -1/8) (log (pow (/ 1 x) -1/8))) (+ (* (- 0 (log x)) -1/8) (* (- (log x)) -1/8)) (+ (* (- 0 (log x)) -1/8) (* (- 0 (log x)) -1/8)) (+ (* (- 0 (log x)) -1/8) (* (- (log 1) (log x)) -1/8)) (+ (* (- 0 (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- 0 (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- 0 (log x)) -1/8) (log (pow (/ 1 x) -1/8))) (+ (* (- (log 1) (log x)) -1/8) (* (- (log x)) -1/8)) (+ (* (- (log 1) (log x)) -1/8) (* (- 0 (log x)) -1/8)) (+ (* (- (log 1) (log x)) -1/8) (* (- (log 1) (log x)) -1/8)) (+ (* (- (log 1) (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- (log 1) (log x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (- (log 1) (log x)) -1/8) (log (pow (/ 1 x) -1/8))) (+ (* (log (/ 1 x)) -1/8) (* (- (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (- 0 (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (- (log 1) (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (log (pow (/ 1 x) -1/8))) (+ (* (log (/ 1 x)) -1/8) (* (- (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (- 0 (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (- (log 1) (log x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (* (log (/ 1 x)) -1/8)) (+ (* (log (/ 1 x)) -1/8) (log (pow (/ 1 x) -1/8))) (+ (log (pow (/ 1 x) -1/8)) (* (- (log x)) -1/8)) (+ (log (pow (/ 1 x) -1/8)) (* (- 0 (log x)) -1/8)) (+ (log (pow (/ 1 x) -1/8)) (* (- (log 1) (log x)) -1/8)) (+ (log (pow (/ 1 x) -1/8)) (* (log (/ 1 x)) -1/8)) (+ (log (pow (/ 1 x) -1/8)) (* (log (/ 1 x)) -1/8)) (+ (log (pow (/ 1 x) -1/8)) (log (pow (/ 1 x) -1/8))) (log (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (exp (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (* (* (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)) (pow (/ 1 x) -1/8)) (* (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)) (pow (/ 1 x) -1/8))) (* (cbrt (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (cbrt (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)))) (cbrt (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (* (* (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8)) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (sqrt (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (sqrt (* (pow (/ 1 x) -1/8) (pow (/ 1 x) -1/8))) (* (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/8) (pow (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) -1/8)) (* (pow (cbrt (/ 1 x)) -1/8) (pow (cbrt (/ 1 x)) -1/8)) (* (pow (sqrt (/ 1 x)) -1/8) (pow (sqrt (/ 1 x)) -1/8)) (* (pow (sqrt (/ 1 x)) -1/8) (pow (sqrt (/ 1 x)) -1/8)) (* (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/8) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) -1/8)) (* (pow (/ (cbrt 1) (cbrt x)) -1/8) (pow (/ (cbrt 1) (cbrt x)) -1/8)) (* (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/8) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt x)) -1/8)) (* (pow (/ (cbrt 1) (sqrt x)) -1/8) (pow (/ (cbrt 1) (sqrt x)) -1/8)) (* (pow (/ (* (cbrt 1) (cbrt 1)) 1) -1/8) (pow (/ (* (cbrt 1) (cbrt 1)) 1) -1/8)) (* (pow (/ (cbrt 1) x) -1/8) (pow (/ (cbrt 1) x) -1/8)) (* (pow (/ (sqrt 1) (* (cbrt x) (cbrt x))) -1/8) (pow (/ (sqrt 1) (* (cbrt x) (cbrt x))) -1/8)) (* (pow (/ (sqrt 1) (cbrt x)) -1/8) (pow (/ (sqrt 1) (cbrt x)) -1/8)) (* (pow (/ (sqrt 1) 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+nan.0) 3) (pow x 2)))))) (pow x 1/4) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 2.617 * * * [progress]: adding candidates to table 3.030 * [progress]: [Phase 3 of 3] Extracting. 3.030 * * [regime]: Finding splitpoints for: (# # # # #) 3.031 * * * [regime-changes]: Trying 3 branch expressions: ((+ (- 1.0 x) (* y (sqrt x))) y x) 3.031 * * * * [regimes]: Trying to branch on (+ (- 1.0 x) (* y (sqrt x))) from (# # # # #) 3.060 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.085 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.106 * * * [regime]: Found split indices: #