12.646 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.022 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.040 * * * [progress]: generating series expansions 0.040 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.040 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.040 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.040 * [taylor]: Taking taylor expansion of (* x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.040 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of (* x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.040 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.040 * [taylor]: Taking taylor expansion of (* x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.041 * [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 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.042 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [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 y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [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 y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.043 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.043 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.044 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.044 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.045 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.045 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * * * [progress]: simplifying candidates 0.047 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (neg (* x y)) (neg (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.051 * * [simplify]: iteration 0 : 196 enodes (cost 146 ) 0.055 * * [simplify]: iteration 1 : 876 enodes (cost 121 ) 0.075 * * [simplify]: iteration 2 : 4575 enodes (cost 120 ) 0.181 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.183 * [simplify]: Simplified to: (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (neg (* x y)) (neg (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.183 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.271 * * * [progress]: generating series expansions 0.271 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.271 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.271 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.272 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.272 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.273 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.273 * [taylor]: Taking taylor expansion of -1 in y 0.273 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.273 * [taylor]: Taking taylor expansion of -1 in y 0.273 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.274 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (* x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (* x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.274 * [taylor]: Taking taylor expansion of (* x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.275 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.275 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.276 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of 1.0 in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.276 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.278 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.278 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.279 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.279 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.279 * [taylor]: Taking taylor expansion of 1.0 in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying using # : (- (log y) (log (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (neg y) (neg (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ 1 1) (/ y (+ y 1.0)) (/ 1 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) (/ y 1) (/ y 1) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (* (* (* x x) x) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* x x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0)))) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (* (* (* x (/ y (+ y 1.0))) (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (- (+ (* 1.0 (pow y 3)) (* 1.0 y)) (* 1.0 (pow y 2))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.286 * * [simplify]: iteration 0 : 297 enodes (cost 378 ) 0.295 * * [simplify]: iteration 1 : 1341 enodes (cost 340 ) 0.324 * * [simplify]: iteration 2 : 5002 enodes (cost 337 ) 0.327 * [simplify]: Simplified to: (log (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (neg y) (neg (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (sqrt y) (/ (sqrt y) (+ y 1.0)) (sqrt y) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) 1 (/ y (+ y 1.0)) 1 (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) y y (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (* x (/ y (+ y 1.0))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (pow (* x (/ y (+ y 1.0))) 3) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) x) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt y) x) (* (sqrt y) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x x (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (* 1.0 (- (+ (pow y 3) y) (pow y 2))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.327 * * * [progress]: adding candidates to table 0.512 * * [progress]: iteration 3 / 4 0.512 * * * [progress]: picking best candidate 0.518 * * * * [pick]: Picked # 0.518 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.533 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.550 * * * [progress]: generating series expansions 0.550 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.550 * [approximate]: Taking taylor expansion of (/ (* x y) (- (pow y 2) 1.0)) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (/ (* x y) (- (pow y 2) 1.0)) in y 0.550 * [taylor]: Taking taylor expansion of (* x y) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1.0 in y 0.550 * [taylor]: Taking taylor expansion of (/ (* x y) (- (pow y 2) 1.0)) in x 0.550 * [taylor]: Taking taylor expansion of (* x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (/ (* x y) (- (pow y 2) 1.0)) in x 0.550 * [taylor]: Taking taylor expansion of (* x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [taylor]: Taking taylor expansion of 1.0 in y 0.551 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.552 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in (x y) around 0 0.553 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in y 0.553 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in y 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.553 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of 1.0 in y 0.553 * [taylor]: Taking taylor expansion of (* x y) in y 0.553 * [taylor]: Taking taylor expansion of x in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.553 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (* x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.554 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (* x y) in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (* 1.0 y))) in y 0.555 * [taylor]: Taking taylor expansion of (- (/ 1 y) (* 1.0 y)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.555 * [taylor]: Taking taylor expansion of 1.0 in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in y 0.558 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in y 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of 1.0 in y 0.558 * [taylor]: Taking taylor expansion of (* x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.559 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (* x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.559 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.559 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (* x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (* 1.0 y))) in y 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 y) (* 1.0 y)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.560 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.560 * [taylor]: Taking taylor expansion of 1.0 in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.561 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.563 * [taylor]: Taking taylor expansion of 0 in y 0.563 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.563 * [approximate]: Taking taylor expansion of (/ (* x (* y (- y 1.0))) (- (pow y 2) 1.0)) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (/ (* x (* y (- y 1.0))) (- (pow y 2) 1.0)) in y 0.563 * [taylor]: Taking taylor expansion of (* x (* y (- y 1.0))) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 1.0 in y 0.563 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of 1.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ (* x (* y (- y 1.0))) (- (pow y 2) 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of (* x (* y (- y 1.0))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ (* x (* y (- y 1.0))) (- (pow y 2) 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of (* x (* y (- y 1.0))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.564 * [taylor]: Taking taylor expansion of y in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (* 1.0 y)) (- (pow y 2) 1.0)) in y 0.565 * [taylor]: Taking taylor expansion of (- (pow y 2) (* 1.0 y)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.565 * [taylor]: Taking taylor expansion of 1.0 in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of 1.0 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.567 * [approximate]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in (x y) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in y 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in y 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of (* x y) in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (* x y) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.568 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (* x y) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (- (/ 1 y) (* 1.0 y))) in y 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of 1.0 in y 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 y) (* 1.0 y)) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.569 * [taylor]: Taking taylor expansion of 1.0 in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.571 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y)))) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y)))) in y 0.571 * [taylor]: Taking taylor expansion of -1 in y 0.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in y 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 1.0 in y 0.571 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in y 0.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.571 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of 1.0 in y 0.571 * [taylor]: Taking taylor expansion of (* x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y)))) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (* x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y)))) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* (- (/ 1 (pow y 2)) 1.0) (* x y))) in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (* x y)) in x 0.573 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (* x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) (- (/ 1 y) (* 1.0 y)))) in y 0.574 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (- (/ 1 y) (* 1.0 y))) in y 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of 1.0 in y 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 y) (* 1.0 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.574 * [taylor]: Taking taylor expansion of 1.0 in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * * * [progress]: simplifying candidates 0.577 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log (- (* y y) (* 1.0 1.0)))) (- (log (* x y)) (log (- (* y y) (* 1.0 1.0)))) (log (/ (* x y) (- (* y y) (* 1.0 1.0)))) (exp (/ (* x y) (- (* y y) (* 1.0 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0))))) (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (neg (* x y)) (neg (- (* y y) (* 1.0 1.0))) (/ x (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ y (cbrt (- (* y y) (* 1.0 1.0)))) (/ x (sqrt (- (* y y) (* 1.0 1.0)))) (/ y (sqrt (- (* y y) (* 1.0 1.0)))) (/ x 1) (/ y (- (* y y) (* 1.0 1.0))) (/ x (+ y 1.0)) (/ y (- y 1.0)) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (* x y)) (/ (* x y) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (* x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (* x y) 1) (/ (* x y) (+ y 1.0)) (/ (- (* y y) (* 1.0 1.0)) y) (/ (* x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ (* x y) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (+ (- (+ (log x) (log y)) (log (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (+ (- (log (* x y)) (log (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (+ (log (/ (* x y) (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (log (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (exp (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (/ (* (* (* x x) x) (* (* y y) y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (/ (* (* (* x y) (* x y)) (* x y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (* (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))) (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (* (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (* x y) (- (pow y 3) (pow 1.0 3))) (* (- (* y y) (* 1.0 1.0)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (* x y) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (+ y 1.0)) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* y (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* (neg 1.0) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* y (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* (neg 1.0) (/ (* x y) (- (* y y) (* 1.0 1.0)))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) 1) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (+ (sqrt y) (sqrt 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) 1) (* (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ y (- y 1.0)) (- y 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (+ (* (* y y) (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (+ (* y y) (* 1.0 1.0)) (- y 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (* x y) (- y 1.0)) (neg (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3))))) (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.582 * * [simplify]: iteration 0 : 411 enodes (cost 635 ) 0.594 * * [simplify]: iteration 1 : 2340 enodes (cost 534 ) 0.636 * * [simplify]: iteration 2 : 5001 enodes (cost 534 ) 0.640 * [simplify]: Simplified to: (log (/ (* x y) (- (* y y) (* 1.0 1.0)))) (log (/ (* x y) (- (* y y) (* 1.0 1.0)))) (log (/ (* x y) (- (* y y) (* 1.0 1.0)))) (exp (/ (* x y) (- (* y y) (* 1.0 1.0)))) (pow (/ (* x y) (- (* y y) (* 1.0 1.0))) 3) (pow (/ (* x y) (- (* y y) (* 1.0 1.0))) 3) (* (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0))))) (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (pow (/ (* x y) (- (* y y) (* 1.0 1.0))) 3) (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (neg (* x y)) (neg (- (* y y) (* 1.0 1.0))) (/ x (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ y (cbrt (- (* y y) (* 1.0 1.0)))) (/ x (sqrt (- (* y y) (* 1.0 1.0)))) (/ y (sqrt (- (* y y) (* 1.0 1.0)))) x (/ y (- (* y y) (* 1.0 1.0))) (/ x (+ y 1.0)) (/ y (- y 1.0)) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (* x y)) (/ (* x y) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (* x y) (sqrt (- (* y y) (* 1.0 1.0)))) (* x y) (/ (* x y) (+ y 1.0)) (/ (- (* y y) (* 1.0 1.0)) y) (/ (* x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ x (- (/ (pow y 4) y) (/ (pow 1.0 4) y))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (log (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (exp (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (pow (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) 3) (pow (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) 3) (pow (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) 3) (* (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))) (cbrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (pow (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) 3) (sqrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (* x y) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- (* y y) (* 1.0 1.0))) (* (* x y) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (+ y 1.0)) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (neg 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (sqrt (- y 1.0))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (+ (sqrt y) (sqrt 1.0))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (cbrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (sqrt (/ (* x y) (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ y (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ y (- y 1.0)) (- y 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (/ (- y 1.0) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ (* (* 1.0 1.0) (+ (* 1.0 1.0) (pow y 2))) (* (* y y) (* y y)))) (* (+ (* y y) (* 1.0 1.0)) (- y 1.0)) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (* x y) (- y 1.0)) (* (neg 1.0) (+ (* x y) (* x (pow y 3)))) (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (- (* x (+ y (pow y 3))) (* x (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.640 * * * [progress]: adding candidates to table 0.848 * * [progress]: iteration 4 / 4 0.849 * * * [progress]: picking best candidate 0.852 * * * * [pick]: Picked # 0.852 * * * [progress]: localizing error 0.858 * * * [progress]: generating rewritten candidates 0.858 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.865 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.893 * * * [progress]: generating series expansions 0.893 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.893 * [approximate]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in (x y) around 0 0.893 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in y 0.893 * [taylor]: Taking taylor expansion of (* x y) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.893 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of 1.0 in y 0.894 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.894 * [taylor]: Taking taylor expansion of (* x y) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.894 * [taylor]: Taking taylor expansion of (* x y) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.894 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.894 * [taylor]: Taking taylor expansion of y in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.894 * [taylor]: Taking taylor expansion of 0 in y 0.894 * [taylor]: Taking taylor expansion of (* y (sqrt (/ 1 (+ y 1.0)))) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.894 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [taylor]: Taking taylor expansion of 1.0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.895 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of 0 in y 0.898 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in (x y) around 0 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.898 * [taylor]: Taking taylor expansion of (* x y) in y 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of 1.0 in y 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.898 * [taylor]: Taking taylor expansion of (* x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.898 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.898 * [taylor]: Taking taylor expansion of (* x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.899 * [taylor]: Taking taylor expansion of y in x 0.899 * [taylor]: Taking taylor expansion of 1.0 in x 0.899 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 y) 1.0))) (/ 1 y)) in y 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in (x y) around 0 0.902 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.902 * [taylor]: Taking taylor expansion of (* x y) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.902 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.902 * [taylor]: Taking taylor expansion of 1.0 in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.903 * [taylor]: Taking taylor expansion of (* x y) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.903 * [taylor]: Taking taylor expansion of (* x y) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 y)))) (/ 1 y)) in y 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.904 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.904 * [taylor]: Taking taylor expansion of 1.0 in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [taylor]: Taking taylor expansion of 0 in y 0.907 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.907 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.907 * [taylor]: Taking taylor expansion of (* x y) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of 1.0 in y 0.910 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of (* x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.910 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.910 * [taylor]: Taking taylor expansion of (* x y) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [taylor]: Taking taylor expansion of 1.0 in x 0.911 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of 1.0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.915 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.915 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.915 * [taylor]: Taking taylor expansion of x in y 0.915 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.915 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of 1.0 in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.916 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.916 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.916 * [taylor]: Taking taylor expansion of 1.0 in x 0.916 * [taylor]: Taking taylor expansion of y in x 0.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.917 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.917 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.917 * [taylor]: Taking taylor expansion of 1.0 in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of 1 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.918 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.918 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.918 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.918 * [taylor]: Taking taylor expansion of 1.0 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.918 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.918 * [taylor]: Taking taylor expansion of 1.0 in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.919 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.919 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.919 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.919 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.919 * [taylor]: Taking taylor expansion of 1.0 in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of 1 in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [taylor]: Taking taylor expansion of 0 in y 0.920 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.921 * [approximate]: Taking taylor expansion of (sqrt (+ y 1.0)) in (y) around 0 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.921 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 1.0 in y 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.921 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 1.0 in y 0.921 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of 1.0 in y 0.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.923 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.923 * [taylor]: Taking taylor expansion of 1.0 in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.924 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.924 * [approximate]: Taking taylor expansion of (sqrt (+ y 1.0)) in (y) around 0 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.924 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 1.0 in y 0.924 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.924 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of 1.0 in y 0.925 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of 1.0 in y 0.926 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of 1.0 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of 1.0 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.927 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log (sqrt (+ y 1.0)))) (- (log (* x y)) (log (sqrt (+ y 1.0)))) (log (/ (* x y) (sqrt (+ y 1.0)))) (exp (/ (* x y) (sqrt (+ y 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (* (* (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (neg (* x y)) (neg (sqrt (+ y 1.0))) (/ x (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ y (cbrt (sqrt (+ y 1.0)))) (/ x (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ y (sqrt (cbrt (+ y 1.0)))) (/ x (sqrt (sqrt (+ y 1.0)))) (/ y (sqrt (sqrt (+ y 1.0)))) (/ x (sqrt 1)) (/ y (sqrt (+ y 1.0))) (/ x (sqrt 1)) (/ y (sqrt (+ y 1.0))) (/ x (sqrt (sqrt (+ y 1.0)))) (/ y (sqrt (sqrt (+ y 1.0)))) (/ x 1) (/ y (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (sqrt (+ y 1.0)) (* x y)) (/ (* x y) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (* x y) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (* x y) (sqrt (sqrt (+ y 1.0)))) (/ (* x y) (sqrt 1)) (/ (* x y) (sqrt 1)) (/ (* x y) (sqrt (sqrt (+ y 1.0)))) (/ (* x y) 1) (/ (sqrt (+ y 1.0)) y) (/ (* x y) (sqrt (+ (pow y 3) (pow 1.0 3)))) (/ (* x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- (- (+ (log x) (log y)) (log (sqrt (+ y 1.0)))) (log (sqrt (+ y 1.0)))) (- (- (log (* x y)) (log (sqrt (+ y 1.0)))) (log (sqrt (+ y 1.0)))) (- (log (/ (* x y) (sqrt (+ y 1.0)))) (log (sqrt (+ y 1.0)))) (log (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (exp (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (/ (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (* (* (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0)))) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))) (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))) (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (sqrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (sqrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (neg (/ (* x y) (sqrt (+ y 1.0)))) (neg (sqrt (+ y 1.0))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0)))) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (sqrt 1)) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (sqrt 1)) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0)))) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) 1) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt 1)) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt 1)) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (sqrt (+ y 1.0)))) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) 1) (/ (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))) (/ (/ x (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (/ y (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (/ (/ x (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ (/ y (cbrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))) (/ (/ x (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (sqrt (sqrt (+ y 1.0)))) (/ (/ y (cbrt (sqrt (+ 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(/ (pow NAN 3) (pow y 2))) (/ (pow NAN 3) y))) (- (+ (/ (pow NAN 3) y) (+ NAN (* 2 (/ (pow NAN 5) (pow y 2))))) (+ (* 2.0 (/ (pow NAN 3) (pow y 2))) (* 1.0 (/ NAN y)))) (- (+ (sqrt 1.0) (* 1/2 (/ y (sqrt 1.0)))) (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN y)) (+ NAN (* 2 (/ (pow NAN 5) (pow y 2))))) (+ (* 2.0 (/ (pow NAN 3) (pow y 2))) (/ (pow NAN 3) y))) (- (+ (/ (pow NAN 3) y) (+ NAN (* 2 (/ (pow NAN 5) (pow y 2))))) (+ (* 2.0 (/ (pow NAN 3) (pow y 2))) (* 1.0 (/ NAN y)))) 1.009 * * * [progress]: adding candidates to table 1.754 * [progress]: [Phase 3 of 3] Extracting. 1.754 * * [regime]: Finding splitpoints for: (# # #) 1.754 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.754 * * * * [regimes]: Trying to branch on y from (# # #) 1.793 * * * * [regimes]: Trying to branch on x from (# # #) 1.831 * * * [regime]: Found split indices: #