11.416 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.464 * * * [progress]: [2/2] Setting up program. 0.466 * [progress]: [Phase 2 of 3] Improving. 0.467 * [simplify]: Simplifying using # : (* 2.0 (- (* x x) (* x y))) 0.469 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.470 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.471 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.473 * * [simplify]: iteration 3 : 92 enodes (cost 3 ) 0.474 * * [simplify]: iteration 4 : 100 enodes (cost 3 ) 0.476 * * [simplify]: iteration 5 : 100 enodes (cost 3 ) 0.476 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.480 * * [progress]: iteration 1 / 4 0.480 * * * [progress]: picking best candidate 0.484 * * * * [pick]: Picked # 0.484 * * * [progress]: localizing error 0.488 * * * [progress]: generating rewritten candidates 0.488 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.502 * * * [progress]: generating series expansions 0.502 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.502 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.502 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (- x y) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (- x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (- x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (neg y) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.505 * [taylor]: Taking taylor expansion of -1 in y 0.505 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.505 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.507 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.507 * [taylor]: Taking taylor expansion of 2.0 in y 0.507 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (- x y) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (- x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (- x y) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of (neg (* 2.0 y)) in y 0.508 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.508 * [taylor]: Taking taylor expansion of 2.0 in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 2.0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.511 * [taylor]: Taking taylor expansion of -2.0 in y 0.511 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.511 * [taylor]: Taking taylor expansion of -2.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.511 * [taylor]: Taking taylor expansion of -2.0 in x 0.511 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.511 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of 2.0 in y 0.512 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.512 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.512 * [taylor]: Taking taylor expansion of 2.0 in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * * * [progress]: simplifying candidates 0.513 * [simplify]: Simplifying using # : (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (neg y)) (* x x) (* x (neg y)) (* x x) (* (neg y) x) (* x x) (* (neg y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (+ (log x) (log (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* 2.0 2.0) 2.0)) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (* (* (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0)) (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 1) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.517 * * [simplify]: iteration 0 : 190 enodes (cost 211 ) 0.521 * * [simplify]: iteration 1 : 920 enodes (cost 176 ) 0.543 * * [simplify]: iteration 2 : 5002 enodes (cost 176 ) 0.545 * [simplify]: Simplified to: (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt (- x y)) (pow x 1/2)) (* (sqrt (- x y)) (pow x 1/2)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (exp (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0))) (cbrt (* (* x (- x y)) 2.0)) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* x (- x y)) 2.0)) (sqrt (* (* x (- x y)) 2.0)) (* (* x (- x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* (- x y) 2.0) (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.545 * * * [progress]: adding candidates to table 0.584 * * [progress]: iteration 2 / 4 0.584 * * * [progress]: picking best candidate 0.594 * * * * [pick]: Picked # 0.594 * * * [progress]: localizing error 0.598 * * * [progress]: generating rewritten candidates 0.598 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.606 * * * [progress]: generating series expansions 0.606 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.606 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- x y))) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in y 0.606 * [taylor]: Taking taylor expansion of 2.0 in y 0.606 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (- x y) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.606 * [taylor]: Taking taylor expansion of 2.0 in x 0.606 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (- x y) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- x y))) in x 0.606 * [taylor]: Taking taylor expansion of 2.0 in x 0.606 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (- x y) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [taylor]: Taking taylor expansion of (neg (* 2.0 y)) in y 0.607 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.607 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in y 0.607 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.608 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 x) (/ 1 y)) x)) in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.608 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of 2.0 in y 0.608 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.608 * [taylor]: Taking taylor expansion of 2.0 in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.610 * [taylor]: Taking taylor expansion of -2.0 in y 0.610 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.610 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.610 * [taylor]: Taking taylor expansion of -2.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.610 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.610 * [taylor]: Taking taylor expansion of -2.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.610 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of 2.0 in y 0.610 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.610 * [taylor]: Taking taylor expansion of 2.0 in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.611 * [taylor]: Taking taylor expansion of 0 in y 0.612 * * * [progress]: simplifying candidates 0.612 * [simplify]: Simplifying using # : (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (+ (log x) (+ (log (- x y)) (log 2.0))) (+ (log x) (log (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (* (* (* x x) x) (* (* (* (- x y) (- x y)) (- x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- x y) 2.0) (* (- x y) 2.0)) (* (- x y) 2.0))) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (* (* (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0))) (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.615 * * [simplify]: iteration 0 : 140 enodes (cost 109 ) 0.618 * * [simplify]: iteration 1 : 544 enodes (cost 87 ) 0.629 * * [simplify]: iteration 2 : 3040 enodes (cost 87 ) 0.685 * * [simplify]: iteration 3 : 5003 enodes (cost 87 ) 0.686 * [simplify]: Simplified to: (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (log (* x (* (- x y) 2.0))) (exp (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (pow (* x (* (- x y) 2.0)) 3) (* (cbrt (* x (* (- x y) 2.0))) (cbrt (* x (* (- x y) 2.0)))) (cbrt (* x (* (- x y) 2.0))) (pow (* x (* (- x y) 2.0)) 3) (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))) (* x (- x y)) (* (cbrt x) (* (- x y) 2.0)) (* (sqrt x) (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) (* x (* (- x y) 2.0)) 0.686 * * * [progress]: adding candidates to table 0.705 * * [progress]: iteration 3 / 4 0.705 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.718 * * * [progress]: generating rewritten candidates 0.718 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.721 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.728 * * * [progress]: generating series expansions 0.728 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.728 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (* x y) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (* x y) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (* x y) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of (neg y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.729 * [taylor]: Taking taylor expansion of (* x y) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.729 * [taylor]: Taking taylor expansion of (* x y) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.729 * [taylor]: Taking taylor expansion of (* x y) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of 1 in y 0.730 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.730 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.731 * [taylor]: Taking taylor expansion of (* x y) in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.731 * [taylor]: Taking taylor expansion of (* x y) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.731 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.731 * [taylor]: Taking taylor expansion of (* x y) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of 1 in y 0.732 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0 in y 0.733 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.733 * [approximate]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in y 0.733 * [taylor]: Taking taylor expansion of 2.0 in y 0.733 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (* x y) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.733 * [taylor]: Taking taylor expansion of 2.0 in x 0.733 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* x y) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (- (pow x 2) (* x y))) in x 0.733 * [taylor]: Taking taylor expansion of 2.0 in x 0.733 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in x 0.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (* x y) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of 0 in y 0.733 * [taylor]: Taking taylor expansion of (neg (* 2.0 y)) in y 0.733 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.733 * [taylor]: Taking taylor expansion of 2.0 in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 2.0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.734 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.734 * [taylor]: Taking taylor expansion of 2.0 in y 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.734 * [taylor]: Taking taylor expansion of (* x y) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.734 * [taylor]: Taking taylor expansion of 2.0 in x 0.734 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.734 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.735 * [taylor]: Taking taylor expansion of (* x y) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.735 * [taylor]: Taking taylor expansion of 2.0 in x 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.735 * [taylor]: Taking taylor expansion of (* x y) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of 2.0 in y 0.736 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of 2.0 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [taylor]: Taking taylor expansion of 0 in y 0.737 * [approximate]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.737 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.737 * [taylor]: Taking taylor expansion of 2.0 in y 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.737 * [taylor]: Taking taylor expansion of (* x y) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.737 * [taylor]: Taking taylor expansion of 2.0 in x 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.737 * [taylor]: Taking taylor expansion of (* x y) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (* 2.0 (- (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.737 * [taylor]: Taking taylor expansion of 2.0 in x 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.738 * [taylor]: Taking taylor expansion of (* x y) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of 2.0 in y 0.738 * [taylor]: Taking taylor expansion of (neg (* 2.0 (/ 1 y))) in y 0.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.738 * [taylor]: Taking taylor expansion of 2.0 in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.738 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.739 * * * [progress]: simplifying candidates 0.740 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (neg (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (neg (* x y)) (* 2.0 (- (* x x) (* x y))) (+ (log 2.0) (log (- (* x x) (* x y)))) (log (* 2.0 (- (* x x) (* x y)))) (exp (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y)))) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (* (* (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y)))) (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* (* x x) 2.0) (* (neg (* x y)) 2.0) (* (* x x) 2.0) (* (neg (* x y)) 2.0) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (- (* x x) (* x y))) (* (sqrt 2.0) (- (* x x) (* x y))) (* 2.0 (- (* x x) (* x y))) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.743 * * [simplify]: iteration 0 : 161 enodes (cost 228 ) 0.747 * * [simplify]: iteration 1 : 741 enodes (cost 196 ) 0.764 * * [simplify]: iteration 2 : 4248 enodes (cost 192 ) 0.863 * * [simplify]: iteration 3 : 5001 enodes (cost 192 ) 0.865 * [simplify]: Simplified to: (pow (exp x) (- x y)) (log (- (* x x) (* x y))) (pow (exp x) (- x y)) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (pow (* x (- x y)) 3) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (* x (+ (pow x 3) (* y (* x (+ x y))))) (neg (* x y)) (* (pow x 2) (- (pow x 2) (* y y))) (* x (+ x y)) (- x y) (neg (* x y)) (* (* x (- x y)) 2.0) (log (* (* x (- x y)) 2.0)) (log (* (* x (- x y)) 2.0)) (pow (exp 2.0) (* x (- x y))) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* 2.0 (- (* x x) (* x y)))) (cbrt (* 2.0 (- (* x x) (* x y))))) (cbrt (* 2.0 (- (* x x) (* x y)))) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* 2.0 (- (* x x) (* x y)))) (sqrt (* 2.0 (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (- (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* 2.0 (* x x)) (* 2.0 (neg (* x y))) (* 2.0 (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))) (* 2.0 (sqrt (- (* x x) (* x y)))) 2.0 (* 2.0 x) (* (* x (- x y)) (cbrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) 2.0) (* 2.0 (- (pow (* x x) 3) (pow (* x y) 3))) (* (* 2.0 (* x (+ x y))) (* x (- x y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) 0.865 * * * [progress]: adding candidates to table 0.903 * * [progress]: iteration 4 / 4 0.903 * * * [progress]: picking best candidate 0.908 * * * * [pick]: Picked # 0.909 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.927 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.934 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.943 * * * [progress]: generating series expansions 0.943 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.943 * [approximate]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in (x y) around 0 0.943 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in y 0.943 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.943 * [taylor]: Taking taylor expansion of 2.0 in y 0.943 * [taylor]: Taking taylor expansion of (- x y) in y 0.943 * [taylor]: Taking taylor expansion of x in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.943 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.943 * [taylor]: Taking taylor expansion of 2.0 in x 0.943 * [taylor]: Taking taylor expansion of (- x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (* x (* (pow (sqrt 2.0) 2) (- x y))) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- x y)) in x 0.943 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.944 * [taylor]: Taking taylor expansion of 2.0 in x 0.944 * [taylor]: Taking taylor expansion of (- x y) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [taylor]: Taking taylor expansion of (neg (* (pow (sqrt 2.0) 2) y)) in y 0.944 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) y) in y 0.944 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.944 * [taylor]: Taking taylor expansion of 2.0 in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.945 * [taylor]: Taking taylor expansion of 2.0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in (x y) around 0 0.947 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in y 0.947 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in y 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.947 * [taylor]: Taking taylor expansion of 2.0 in y 0.947 * [taylor]: Taking taylor expansion of x in y 0.947 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.947 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.947 * [taylor]: Taking taylor expansion of 2.0 in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) x) in x 0.947 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (sqrt 2.0) 2)) in x 0.947 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.948 * [taylor]: Taking taylor expansion of 2.0 in x 0.948 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.948 * [taylor]: Taking taylor expansion of 2.0 in y 0.948 * [taylor]: Taking taylor expansion of (neg (/ (pow (sqrt 2.0) 2) y)) in y 0.948 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) y) in y 0.948 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.948 * [taylor]: Taking taylor expansion of 2.0 in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [taylor]: Taking taylor expansion of 0 in y 0.951 * [approximate]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in (x y) around 0 0.951 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in y 0.951 * [taylor]: Taking taylor expansion of -1 in y 0.951 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in y 0.951 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in y 0.951 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.951 * [taylor]: Taking taylor expansion of 2.0 in y 0.951 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in x 0.952 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.952 * [taylor]: Taking taylor expansion of 2.0 in x 0.952 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (* -1 (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x)) in x 0.952 * [taylor]: Taking taylor expansion of -1 in x 0.952 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) x) in x 0.952 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2.0) 2) (- (/ 1 y) (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.952 * [taylor]: Taking taylor expansion of 2.0 in x 0.952 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.952 * [taylor]: Taking taylor expansion of y in x 0.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of x in x 0.953 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.953 * [taylor]: Taking taylor expansion of 2.0 in y 0.953 * [taylor]: Taking taylor expansion of (neg (/ (pow (sqrt 2.0) 2) y)) in y 0.953 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) y) in y 0.953 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in y 0.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.953 * [taylor]: Taking taylor expansion of 2.0 in y 0.953 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.956 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.956 * [approximate]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in (x y) around 0 0.956 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in y 0.956 * [taylor]: Taking taylor expansion of x in y 0.956 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in y 0.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.956 * [taylor]: Taking taylor expansion of 2.0 in y 0.956 * [taylor]: Taking taylor expansion of (- x y) in y 0.957 * [taylor]: Taking taylor expansion of x in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in x 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.957 * [taylor]: Taking taylor expansion of 2.0 in x 0.957 * [taylor]: Taking taylor expansion of (- x y) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of (* x (* (sqrt 2.0) (- x y))) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- x y)) in x 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.957 * [taylor]: Taking taylor expansion of 2.0 in x 0.957 * [taylor]: Taking taylor expansion of (- x y) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of (neg (* (sqrt 2.0) y)) in y 0.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) y) in y 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.957 * [taylor]: Taking taylor expansion of 2.0 in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.957 * [taylor]: Taking taylor expansion of 2.0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in y 0.958 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in y 0.958 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.959 * [taylor]: Taking taylor expansion of 2.0 in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in x 0.959 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in x 0.959 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.959 * [taylor]: Taking taylor expansion of 2.0 in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) x) in x 0.959 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt 2.0)) in x 0.959 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.959 * [taylor]: Taking taylor expansion of 2.0 in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.959 * [taylor]: Taking taylor expansion of 2.0 in y 0.960 * [taylor]: Taking taylor expansion of (neg (/ (sqrt 2.0) y)) in y 0.960 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.960 * [taylor]: Taking taylor expansion of 2.0 in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [approximate]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in (x y) around 0 0.961 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in y 0.961 * [taylor]: Taking taylor expansion of -1 in y 0.961 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in y 0.961 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in y 0.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.961 * [taylor]: Taking taylor expansion of 2.0 in y 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in x 0.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.962 * [taylor]: Taking taylor expansion of 2.0 in x 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (* -1 (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x)) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) x) in x 0.962 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (- (/ 1 y) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in x 0.962 * [taylor]: Taking taylor expansion of 2.0 in x 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.962 * [taylor]: Taking taylor expansion of 2.0 in y 0.963 * [taylor]: Taking taylor expansion of (neg (/ (sqrt 2.0) y)) in y 0.963 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) y) in y 0.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in y 0.963 * [taylor]: Taking taylor expansion of 2.0 in y 0.963 * [taylor]: Taking taylor expansion of y in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.965 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.965 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.965 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of (- x y) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (- x y) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (- x y) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [taylor]: Taking taylor expansion of (neg y) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of 1 in y 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of x in y 0.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 1 in y 0.966 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.967 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [taylor]: Taking taylor expansion of x in y 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.968 * [taylor]: Taking taylor expansion of -1 in x 0.968 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.968 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of 1 in y 0.968 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.968 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.972 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (+ (+ (+ (log x) (log (- x y))) (log (sqrt 2.0))) (log (sqrt 2.0))) (+ (+ (log (* x (- x y))) (log (sqrt 2.0))) (log (sqrt 2.0))) (+ (log (* (* x (- x y)) (sqrt 2.0))) (log (sqrt 2.0))) (log (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (exp (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 1)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) 1) (* (sqrt 2.0) (sqrt 2.0)) (* (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (sqrt 2.0)) (* (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (+ (+ (log x) (log (- x y))) (log (sqrt 2.0))) (+ (log (* x (- x y))) (log (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (exp (* (* x (- x y)) (sqrt 2.0))) (* (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (* x (- x y)) (sqrt 2.0))) (cbrt (* (* x (- x y)) (sqrt 2.0)))) (cbrt (* (* x (- x y)) (sqrt 2.0))) (* (* (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* x (- x y)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 1)) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* (* x (- x y)) 1) (* (- x y) (sqrt 2.0)) (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (* x (- x y)) (+ (log x) (log (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (* (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (* (* (* x (- x y)) (* x (- x y))) (* x (- x y))) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) (sqrt (- x y))) (* x x) (* x (neg y)) (* x x) (* x (neg y)) (* x x) (* (neg y) x) (* x x) (* (neg y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* x 1) (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (pow (sqrt 2.0) 2) (pow x 2)) (* (pow (sqrt 2.0) 2) (* y x))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (* (sqrt 2.0) (pow x 2)) (* (sqrt 2.0) (* y x))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.977 * * [simplify]: iteration 0 : 291 enodes (cost 440 ) 0.983 * * [simplify]: iteration 1 : 1602 enodes (cost 358 ) 1.016 * * [simplify]: iteration 2 : 5001 enodes (cost 354 ) 1.019 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (+ (log (* x (- x y))) (log 2.0)) (pow (exp (* x (- x y))) 2.0) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (pow (* (* x (- x y)) 2.0) 3) (* (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0)))) (cbrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (pow (* (* x (- x y)) 2.0) 3) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (sqrt (* (* (* x (- x y)) (sqrt 2.0)) (sqrt 2.0))) (* (* (* x (- x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (* x (- x y)) (* (sqrt 2.0) (fabs (cbrt 2.0)))) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) (* (* (* x (- x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (* (* x (- x y)) (sqrt 2.0)) 2.0 (* (* x (- (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (log (* (* x (- x y)) (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (log (* (* x (- x y)) (sqrt 2.0))) (exp (* (* x (- x y)) (sqrt 2.0))) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (* (cbrt (* (* x (- x y)) (sqrt 2.0))) (cbrt (* (* x (- x y)) (sqrt 2.0)))) (cbrt (* (* x (- x y)) (sqrt 2.0))) (pow (* (* x (- x y)) (sqrt 2.0)) 3) (sqrt (* (* x (- x y)) (sqrt 2.0))) (sqrt (* (* x (- x y)) (sqrt 2.0))) (* (* x (- x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* x (* (- x y) (fabs (cbrt 2.0)))) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* x (- x y)) (* (* x (- x y)) (sqrt (sqrt 2.0))) (* x (- x y)) (* (- x y) (sqrt 2.0)) (* (* x (- (pow x 3) (pow y 3))) (sqrt 2.0)) (* (* x (- (* x x) (* y y))) (sqrt 2.0)) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (exp (* x (- x y))) (pow (* x (- x y)) 3) (* (cbrt (* x (- x y))) (cbrt (* x (- x y)))) (cbrt (* x (- x y))) (pow (* x (- x y)) 3) (sqrt (* x (- x y))) (sqrt (* x (- x y))) (* (sqrt (- x y)) (pow x 1/2)) (* (sqrt (- x y)) (pow x 1/2)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (pow x 2) (* x (neg y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) 2.0) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* (* x (- x y)) (sqrt 2.0)) (* x (- x y)) (* x (- x y)) (* x (- x y)) 1.019 * * * [progress]: adding candidates to table 1.097 * [progress]: [Phase 3 of 3] Extracting. 1.097 * * [regime]: Finding splitpoints for: (# # #) 1.098 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 1.098 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# # #) 1.134 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# # #) 1.170 * * * * [regimes]: Trying to branch on y from (# # #) 1.205 * * * * [regimes]: Trying to branch on x from (# # #) 1.240 * * * [regime]: Found split indices: #