9.965 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.060 * [taylor]: Taking taylor expansion of -1 in y 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * * * [progress]: simplifying candidates 0.088 * [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)) 0.094 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.098 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.112 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.168 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.169 * [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))) 0.169 * * * [progress]: adding candidates to table 0.204 * * [progress]: iteration 2 / 4 0.204 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.256 * * * [progress]: generating series expansions 0.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.256 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.256 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 1.0 in y 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.258 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 1.0 in y 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.302 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.343 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.343 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.343 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of 1.0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.366 * [taylor]: Taking taylor expansion of -1 in y 0.366 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of 1.0 in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.368 * [taylor]: Taking taylor expansion of -1 in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.369 * [taylor]: Taking taylor expansion of 1.0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.396 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.396 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.398 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.398 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.400 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.405 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of 1.0 in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of 1.0 in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of 1.0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 1.0 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.429 * [taylor]: Taking taylor expansion of -1 in x 0.429 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.432 * [taylor]: Taking taylor expansion of -1 in y 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 1.0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.453 * * * [progress]: simplifying candidates 0.455 * [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))) 0.460 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.466 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.491 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.496 * [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))) 0.497 * * * [progress]: adding candidates to table 0.677 * * [progress]: iteration 3 / 4 0.677 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.695 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.697 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 0.700 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) 0.703 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 0.707 * * * [progress]: generating series expansions 0.707 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.707 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.707 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of 1.0 in y 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.708 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.708 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 1.0 in y 0.721 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of 1.0 in y 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of 1.0 in y 0.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 1.0 in y 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.747 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 0.748 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.748 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.748 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of 1.0 in y 0.749 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.749 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 1.0 in y 0.762 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.762 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.762 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 1.0 in y 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 0.779 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of 1.0 in y 0.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of 1.0 in y 0.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1) 0.792 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.792 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.792 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of 1.0 in y 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.793 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.807 * [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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 0.833 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.833 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.833 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of 1.0 in y 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.834 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.851 * [taylor]: Taking taylor expansion of 1.0 in y 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 1.0 in y 0.864 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of 1.0 in y 0.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.866 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 1.0 in y 0.877 * * * [progress]: simplifying candidates 0.878 * [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)))) 0.882 * * [simplify]: iteration 0 : 135 enodes (cost 416 ) 0.885 * * [simplify]: iteration 1 : 448 enodes (cost 408 ) 0.894 * * [simplify]: iteration 2 : 1981 enodes (cost 400 ) 0.939 * * [simplify]: iteration 3 : 5001 enodes (cost 396 ) 0.942 * [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) 0.942 * * * [progress]: adding candidates to table 1.171 * * [progress]: iteration 4 / 4 1.171 * * * [progress]: picking best candidate 1.174 * * * * [pick]: Picked # 1.174 * * * [progress]: localizing error 1.176 * * * [progress]: generating rewritten candidates 1.176 * * * [progress]: generating series expansions 1.176 * * * [progress]: simplifying candidates 1.176 * [simplify]: Simplifying using # : 1.178 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.178 * [simplify]: Simplified to: 1.178 * * * [progress]: adding candidates to table 1.178 * [progress]: [Phase 3 of 3] Extracting. 1.178 * * [regime]: Finding splitpoints for: (# # # # #) 1.179 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.179 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.196 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 1.210 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 1.228 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# #) 1.239 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.255 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.274 * * * [regime]: Found split indices: #