2.692 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.027 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.028 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.029 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.031 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.049 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 1.0 in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.070 * [taylor]: Taking taylor expansion of -1 in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.099 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.102 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.117 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.175 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.176 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.176 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.232 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.262 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.303 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.303 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.304 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.335 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.348 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.349 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of 1.0 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.373 * [taylor]: Taking taylor expansion of -1 in y 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 1.0 in y 0.373 * [taylor]: Taking taylor expansion of x in y 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.374 * [taylor]: Taking taylor expansion of -1 in x 0.374 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.374 * [taylor]: Taking taylor expansion of -1 in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 1.0 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.403 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.403 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.406 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.415 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of 1.0 in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of 1.0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.433 * [taylor]: Taking taylor expansion of -1 in y 0.433 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 1.0 in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.436 * [taylor]: Taking taylor expansion of -1 in x 0.436 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.437 * [taylor]: Taking taylor expansion of -1 in x 0.437 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.438 * [taylor]: Taking taylor expansion of -1 in y 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 1.0 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * * * [progress]: simplifying candidates 0.462 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.468 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.474 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.499 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.502 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.503 * * * [progress]: adding candidates to table 0.690 * * [progress]: iteration 3 / 4 0.690 * * * [progress]: picking best candidate 0.696 * * * * [pick]: Picked # 0.696 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.709 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.711 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.714 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.737 * * * [progress]: generating series expansions 0.737 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.737 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.737 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.737 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of 1.0 in y 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.738 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of 1.0 in y 0.751 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of 1.0 in y 0.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of 1.0 in y 0.764 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of 1.0 in y 0.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of 1.0 in y 0.777 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.777 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.777 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of 1.0 in y 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.778 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of 1.0 in y 0.794 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of 1.0 in y 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 1.0 in y 0.807 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of 1.0 in y 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of 1.0 in y 0.820 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.820 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.820 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of 1.0 in y 0.821 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.821 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of 1.0 in y 0.834 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of 1.0 in y 0.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 1.0 in y 0.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of 1.0 in y 0.863 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.863 * [approximate]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in y 0.863 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in y 0.863 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in y 0.863 * [taylor]: Taking taylor expansion of 1/4 in y 0.863 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in y 0.863 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in y 0.863 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of 1.0 in y 0.866 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in x 0.866 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in x 0.866 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in x 0.866 * [taylor]: Taking taylor expansion of 1/4 in x 0.866 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in x 0.866 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in x 0.866 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of 1.0 in x 0.867 * [taylor]: Taking taylor expansion of (* x (pow (pow (+ (pow y 2) 1.0) 3) 1/4)) in x 0.867 * [taylor]: Taking taylor expansion of x in x 0.867 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in x 0.867 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in x 0.867 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in x 0.867 * [taylor]: Taking taylor expansion of 1/4 in x 0.867 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in x 0.867 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in x 0.867 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.867 * [taylor]: Taking taylor expansion of y in x 0.867 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow y 2) 1.0) 3) 1/4) in y 0.871 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (pow y 2) 1.0) 3)))) in y 0.871 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (pow y 2) 1.0) 3))) in y 0.871 * [taylor]: Taking taylor expansion of 1/4 in y 0.871 * [taylor]: Taking taylor expansion of (log (pow (+ (pow y 2) 1.0) 3)) in y 0.871 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) 1.0) 3) in y 0.871 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of 1.0 in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [approximate]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in (x y) around 0 0.889 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in y 0.889 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.889 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.889 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.889 * [taylor]: Taking taylor expansion of 1/4 in y 0.889 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.889 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.890 * [taylor]: Taking taylor expansion of 1.0 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.891 * [taylor]: Taking taylor expansion of x in y 0.891 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.891 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.891 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.891 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.891 * [taylor]: Taking taylor expansion of 1/4 in x 0.891 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.891 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.891 * [taylor]: Taking taylor expansion of y in x 0.891 * [taylor]: Taking taylor expansion of 1.0 in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.892 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.892 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.892 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.892 * [taylor]: Taking taylor expansion of 1/4 in x 0.892 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.892 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.893 * [taylor]: Taking taylor expansion of 1.0 in x 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.893 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.894 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.894 * [taylor]: Taking taylor expansion of 1/4 in y 0.894 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.894 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [approximate]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in (x y) around 0 0.949 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in y 0.949 * [taylor]: Taking taylor expansion of -1 in y 0.949 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in y 0.949 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.949 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.949 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.949 * [taylor]: Taking taylor expansion of 1/4 in y 0.949 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.949 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of 1.0 in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of -1 in x 0.951 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.951 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.951 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.951 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.951 * [taylor]: Taking taylor expansion of 1/4 in x 0.951 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.951 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.951 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.951 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (* -1 (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x))) in x 0.953 * [taylor]: Taking taylor expansion of -1 in x 0.953 * [taylor]: Taking taylor expansion of (* (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) (/ 1 x)) in x 0.953 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in x 0.953 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in x 0.953 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in x 0.953 * [taylor]: Taking taylor expansion of 1/4 in x 0.953 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in x 0.953 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in x 0.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.953 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.955 * [taylor]: Taking taylor expansion of (* -1 (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4)) in y 0.955 * [taylor]: Taking taylor expansion of -1 in y 0.955 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow y 2)) 1.0) 3) 1/4) in y 0.955 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)))) in y 0.955 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 (pow y 2)) 1.0) 3))) in y 0.955 * [taylor]: Taking taylor expansion of 1/4 in y 0.955 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow y 2)) 1.0) 3)) in y 0.955 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) 1.0) 3) in y 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of 1.0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 1.013 * [taylor]: Taking taylor expansion of 0 in y 1.014 * * * [progress]: simplifying candidates 1.015 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt 1))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (pow 1.0 1/4)) (+ (* 0.75 (* x (sqrt (/ 1 y)))) (* x (sqrt (pow y 3)))) (+ (* x (sqrt (* -1 (pow y 3)))) (* 0.75 (/ (* x (sqrt (* -1 (pow y 3)))) (pow y 2)))) 1.020 * * [simplify]: iteration 0 : 326 enodes (cost 750 ) 1.027 * * [simplify]: iteration 1 : 1334 enodes (cost 711 ) 1.054 * * [simplify]: iteration 2 : 5002 enodes (cost 684 ) 1.057 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (exp (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3)) x) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) x) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (- 1.0 (* y y))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (+ 1.0 (* y y)))) (pow (sqrt (sqrt (+ 1.0 (* y y)))) 3) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (pow 1.0 1/4)) (* x (+ (sqrt (pow y 3)) (* (sqrt (/ 1 y)) 0.75))) (+ (* x (sqrt (* -1 (pow y 3)))) (* 0.75 (/ (* x (sqrt (* -1 (pow y 3)))) (pow y 2)))) 1.058 * * * [progress]: adding candidates to table 1.309 * * [progress]: iteration 4 / 4 1.309 * * * [progress]: picking best candidate 1.314 * * * * [pick]: Picked # 1.314 * * * [progress]: localizing error 1.327 * * * [progress]: generating rewritten candidates 1.327 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 1.332 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2) 1.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 2) 1.338 * * * [progress]: generating series expansions 1.338 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.338 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.338 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.338 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.338 * [taylor]: Taking taylor expansion of y in y 1.338 * [taylor]: Taking taylor expansion of 1.0 in y 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.340 * [taylor]: Taking taylor expansion of y in y 1.340 * [taylor]: Taking taylor expansion of 1.0 in y 1.352 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.353 * [taylor]: Taking taylor expansion of 1.0 in y 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.355 * [taylor]: Taking taylor expansion of 1.0 in y 1.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.366 * [taylor]: Taking taylor expansion of 1.0 in y 1.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.368 * [taylor]: Taking taylor expansion of y in y 1.368 * [taylor]: Taking taylor expansion of 1.0 in y 1.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.379 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.379 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.379 * [taylor]: Taking taylor expansion of y in y 1.379 * [taylor]: Taking taylor expansion of 1.0 in y 1.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.380 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.380 * [taylor]: Taking taylor expansion of y in y 1.380 * [taylor]: Taking taylor expansion of 1.0 in y 1.392 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.392 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of 1.0 in y 1.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.395 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.395 * [taylor]: Taking taylor expansion of y in y 1.395 * [taylor]: Taking taylor expansion of 1.0 in y 1.409 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.409 * [taylor]: Taking taylor expansion of y in y 1.409 * [taylor]: Taking taylor expansion of 1.0 in y 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.412 * [taylor]: Taking taylor expansion of 1.0 in y 1.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2) 1.422 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.422 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.422 * [taylor]: Taking taylor expansion of 1.0 in y 1.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of 1.0 in y 1.435 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.435 * [taylor]: Taking taylor expansion of y in y 1.436 * [taylor]: Taking taylor expansion of 1.0 in y 1.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.438 * [taylor]: Taking taylor expansion of y in y 1.438 * [taylor]: Taking taylor expansion of 1.0 in y 1.448 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.448 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.448 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.448 * [taylor]: Taking taylor expansion of y in y 1.449 * [taylor]: Taking taylor expansion of 1.0 in y 1.451 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.451 * [taylor]: Taking taylor expansion of y in y 1.451 * [taylor]: Taking taylor expansion of 1.0 in y 1.461 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 2) 1.462 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.462 * [taylor]: Taking taylor expansion of y in y 1.462 * [taylor]: Taking taylor expansion of 1.0 in y 1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.463 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.463 * [taylor]: Taking taylor expansion of 1.0 in y 1.478 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.478 * [taylor]: Taking taylor expansion of y in y 1.478 * [taylor]: Taking taylor expansion of 1.0 in y 1.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.480 * [taylor]: Taking taylor expansion of y in y 1.481 * [taylor]: Taking taylor expansion of 1.0 in y 1.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.491 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.491 * [taylor]: Taking taylor expansion of y in y 1.492 * [taylor]: Taking taylor expansion of 1.0 in y 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.493 * [taylor]: Taking taylor expansion of y in y 1.494 * [taylor]: Taking taylor expansion of 1.0 in y 1.504 * * * [progress]: simplifying candidates 1.505 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.509 * * [simplify]: iteration 0 : 135 enodes (cost 416 ) 1.512 * * [simplify]: iteration 1 : 448 enodes (cost 408 ) 1.520 * * [simplify]: iteration 2 : 1981 enodes (cost 400 ) 1.564 * * [simplify]: iteration 3 : 5001 enodes (cost 396 ) 1.566 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) 1.567 * * * [progress]: adding candidates to table 1.783 * [progress]: [Phase 3 of 3] Extracting. 1.783 * * [regime]: Finding splitpoints for: (# # # # # #) 1.784 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.784 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.801 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.818 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # # #) 1.837 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.857 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.875 * * * [regime]: Found split indices: #