11.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.017 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 h1) (* h1 h2))) 0.020 * * [simplify]: iteration 0 : 18 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 36 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 58 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 60 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 60 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.060 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (+ x y) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * * * [progress]: simplifying candidates 0.084 * [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 y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* 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 x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.084 * [simplify]: Sending expressions to egg_math: (* h0 (+ h0 h1)) (+ (log h0) (log (+ h0 h1))) (log (* h0 (+ h0 h1))) (exp (* h0 (+ h0 h1))) (* (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* h0 (+ h0 h1))) (cbrt (* h0 (+ h0 h1)))) (cbrt (* h0 (+ h0 h1))) (* (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* h0 h0) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* h0 (sqrt (+ h0 h1))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h0 h1)) (* (sqrt h0) (+ h0 h1)) (* h0 (+ h0 h1)) (* h0 (+ (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) 0.087 * * [simplify]: iteration 0 : 123 enodes (cost 85 ) 0.090 * * [simplify]: iteration 1 : 589 enodes (cost 76 ) 0.103 * * [simplify]: iteration 2 : 2900 enodes (cost 76 ) 0.158 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.159 * [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 y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x 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)) (* x (+ x y)) (* x (+ x y)) 0.159 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 2 / 4 0.408 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.417 * * * [progress]: generating rewritten candidates 0.417 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.426 * * * [progress]: generating series expansions 0.426 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.426 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (* x y) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* x y) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (* x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.432 * [taylor]: Taking taylor expansion of (* x y) in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.432 * [taylor]: Taking taylor expansion of (* x y) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.433 * [taylor]: Taking taylor expansion of (* x y) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.442 * [taylor]: Taking taylor expansion of (* x y) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.443 * [taylor]: Taking taylor expansion of (* x y) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.444 * [taylor]: Taking taylor expansion of (* x y) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of 1 in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * [progress]: simplifying candidates 0.457 * [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)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.457 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (exp (* h0 h1))) (log (+ (* h0 h0) (* h0 h1))) (exp (+ (* h0 h0) (* h0 h1))) (* (cbrt (+ (* h0 h0) (* h0 h1))) (cbrt (+ (* h0 h0) (* h0 h1)))) (cbrt (+ (* h0 h0) (* h0 h1))) (* (* (+ (* h0 h0) (* h0 h1)) (+ (* h0 h0) (* h0 h1))) (+ (* h0 h0) (* h0 h1))) (sqrt (+ (* h0 h0) (* h0 h1))) (sqrt (+ (* h0 h0) (* h0 h1))) (+ (pow (* h0 h0) 3) (pow (* h0 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h0 h1) (* h0 h1)) (* (* h0 h0) (* h0 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h0 h1) (* h0 h1))) (- (* h0 h0) (* h0 h1)) (+ h0 h1) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) 0.460 * * [simplify]: iteration 0 : 98 enodes (cost 73 ) 0.463 * * [simplify]: iteration 1 : 416 enodes (cost 62 ) 0.473 * * [simplify]: iteration 2 : 1570 enodes (cost 59 ) 0.513 * * [simplify]: iteration 3 : 5001 enodes (cost 59 ) 0.514 * [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 (- y x))))) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (+ x y) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.514 * * * [progress]: adding candidates to table 0.543 * * [progress]: iteration 3 / 4 0.543 * * * [progress]: picking best candidate 0.545 * * * * [pick]: Picked # 0.545 * * * [progress]: localizing error 0.554 * * * [progress]: generating rewritten candidates 0.554 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.587 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.617 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 2) 0.627 * * * [progress]: generating series expansions 0.627 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.627 * [approximate]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in (x y) around 0 0.627 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in y 0.627 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (- x y) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.628 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (- x y) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.630 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.630 * [taylor]: Taking taylor expansion of (- x y) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in y 0.642 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.645 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.665 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in y 0.666 * [taylor]: Taking taylor expansion of -1 in y 0.666 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in y 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in y 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.667 * [taylor]: Taking taylor expansion of x in y 0.667 * [taylor]: Taking taylor expansion of x in y 0.668 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.668 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.671 * [taylor]: Taking taylor expansion of -1 in x 0.671 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.671 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.671 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of 1 in y 0.677 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.695 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.695 * [approximate]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.704 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in (x y) around 0 0.704 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in y 0.704 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.704 * [taylor]: Taking taylor expansion of x in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of x in y 0.705 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.705 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.705 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.706 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.706 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.711 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in y 0.721 * [taylor]: Taking taylor expansion of -1 in y 0.721 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in y 0.721 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.722 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.722 * [taylor]: Taking taylor expansion of -1 in x 0.722 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.723 * [taylor]: Taking taylor expansion of -1 in x 0.723 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.723 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of -1 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.742 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 2) 0.742 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.742 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 1 in y 0.746 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.748 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.748 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.749 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of 1 in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.759 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.760 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of 1 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.763 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.770 * * * [progress]: simplifying candidates 0.771 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* x x) (* y y)))) (log (- x y))) (- (log (* x (- (* x x) (* y y)))) (log (- x y))) (log (/ (* x (- (* x x) (* y y))) (- x y))) (exp (/ (* x (- (* x x) (* y y))) (- x y))) (/ (* (* (* x x) x) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* x (- (* x x) (* y y))) (* x (- (* x x) (* y y)))) (* x (- (* x x) (* y y)))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* x (- (* x x) (* y y))) (- x y))) (cbrt (/ (* x (- (* x x) (* y y))) (- x y)))) (cbrt (/ (* x (- (* x x) (* y y))) (- x y))) (* (* (/ (* x (- (* x x) (* y y))) (- x y)) (/ (* x (- (* x x) (* y y))) (- x y))) (/ (* x (- (* x x) (* y y))) (- x y))) (sqrt (/ (* x (- (* x x) (* y y))) (- x y))) (sqrt (/ (* x (- (* x x) (* y y))) (- x y))) (- (* x (- (* x x) (* y y)))) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ (- (* x x) (* y y)) (cbrt (- x y))) (/ x (sqrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ x 1) (/ (- (* x x) (* y y)) (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ (- (* x x) (* y y)) (- (sqrt x) (sqrt y))) (/ x 1) (/ (- (* x x) (* y y)) (- x y)) (/ 1 (- x y)) (/ (- x y) (* x (- (* x x) (* y y)))) (/ (* x (- (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x (- (* x x) (* y y))) (sqrt (- x y))) (/ (* x (- (* x x) (* y y))) 1) (/ (* x (- (* x x) (* y y))) (+ (sqrt x) (sqrt y))) (/ (* x (- (* x x) (* y y))) 1) (/ (- x y) (- (* x x) (* y y))) (/ (* x (- (* x x) (* y y))) (- (pow x 3) (pow y 3))) (/ (* x (- (* x x) (* y y))) (- (* x x) (* y y))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* x (- (* x x) (* y y))) (+ (log x) (log (- (* x x) (* y y)))) (log (* x (- (* x x) (* y y)))) (exp (* x (- (* x x) (* y y)))) (* (* (* x x) x) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (* x (- (* x x) (* y y)))) (cbrt (* x (- (* x x) (* y y))))) (cbrt (* x (- (* x x) (* y y)))) (* (* (* x (- (* x x) (* y y))) (* x (- (* x x) (* y y)))) (* x (- (* x x) (* y y)))) (sqrt (* x (- (* x x) (* y y)))) (sqrt (* x (- (* x x) (* y y)))) (* (sqrt x) (sqrt (- (* x x) (* y y)))) (* (sqrt x) (sqrt (- (* x x) (* y y)))) (* x (* x x)) (* x (- (* y y))) (* x (* x x)) (* x (- (* y y))) (* (* x x) x) (* (- (* y y)) x) (* (* x x) x) (* (- (* y y)) x) (* x (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* x (sqrt (- (* x x) (* y y)))) (* x 1) (* x (+ x y)) (* (cbrt x) (- (* x x) (* y y))) (* (sqrt x) (- (* x x) (* y y))) (* x (- (* x x) (* y y))) (* x (- (pow (* x x) 3) (pow (* y y) 3))) (* x (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (- (pow x 3) (* x (pow y 2))) (- (pow x 3) (* x (pow y 2))) (- (pow x 3) (* x (pow y 2))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.772 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log (- (* h0 h0) (* h1 h1)))) (log (- h0 h1))) (- (log (* h0 (- (* h0 h0) (* h1 h1)))) (log (- h0 h1))) (log (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (exp (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (/ (* (* (* h0 h0) h0) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (/ (* (* (* h0 (- (* h0 h0) (* h1 h1))) (* h0 (- (* h0 h0) (* h1 h1)))) (* h0 (- (* h0 h0) (* h1 h1)))) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (cbrt (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1)))) (cbrt (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (* (* (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1)) (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (sqrt (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (sqrt (/ (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1))) (- (* h0 (- (* h0 h0) (* h1 h1)))) (- (- h0 h1)) (/ h0 (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (- (* h0 h0) (* h1 h1)) (cbrt (- h0 h1))) (/ h0 (sqrt (- h0 h1))) (/ (- (* h0 h0) (* h1 h1)) (sqrt (- h0 h1))) (/ h0 1) (/ (- (* h0 h0) (* h1 h1)) (- h0 h1)) (/ h0 (+ (sqrt h0) (sqrt h1))) (/ (- (* h0 h0) (* h1 h1)) (- (sqrt h0) (sqrt h1))) (/ h0 1) (/ (- (* h0 h0) (* h1 h1)) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (* h0 (- (* h0 h0) (* h1 h1)))) (/ (* h0 (- (* h0 h0) (* h1 h1))) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (* h0 (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1))) (/ (* h0 (- (* h0 h0) (* h1 h1))) 1) (/ (* h0 (- (* h0 h0) (* h1 h1))) (+ (sqrt h0) (sqrt h1))) (/ (* h0 (- (* h0 h0) (* h1 h1))) 1) (/ (- h0 h1) (- (* h0 h0) (* h1 h1))) (/ (* h0 (- (* h0 h0) (* h1 h1))) (- (pow h0 3) (pow h1 3))) (/ (* h0 (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (- h0 h1) (+ (* h0 h0) (* h1 h1))) (* h0 (- (* h0 h0) (* h1 h1))) (+ (log h0) (log (- (* h0 h0) (* h1 h1)))) (log (* h0 (- (* h0 h0) (* h1 h1)))) (exp (* h0 (- (* h0 h0) (* h1 h1)))) (* (* (* h0 h0) h0) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (cbrt (* h0 (- (* h0 h0) (* h1 h1)))) (cbrt (* h0 (- (* h0 h0) (* h1 h1))))) (cbrt (* h0 (- (* h0 h0) (* h1 h1)))) (* (* (* h0 (- (* h0 h0) (* h1 h1))) (* h0 (- (* h0 h0) (* h1 h1)))) (* h0 (- (* h0 h0) (* h1 h1)))) (sqrt (* h0 (- (* h0 h0) (* h1 h1)))) (sqrt (* h0 (- (* h0 h0) (* h1 h1)))) (* (sqrt h0) (sqrt (- (* h0 h0) (* h1 h1)))) (* (sqrt h0) (sqrt (- (* h0 h0) (* h1 h1)))) (* h0 (* h0 h0)) (* h0 (- (* h1 h1))) (* h0 (* h0 h0)) (* h0 (- (* h1 h1))) (* (* h0 h0) h0) (* (- (* h1 h1)) h0) (* (* h0 h0) h0) (* (- (* h1 h1)) h0) (* h0 (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (* h0 (sqrt (- (* h0 h0) (* h1 h1)))) (* h0 1) (* h0 (+ h0 h1)) (* (cbrt h0) (- (* h0 h0) (* h1 h1))) (* (sqrt h0) (- (* h0 h0) (* h1 h1))) (* h0 (- (* h0 h0) (* h1 h1))) (* h0 (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (* h0 (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (- (pow h0 3) (* h0 (pow h1 2))) (- (pow h0 3) (* h0 (pow h1 2))) (- (pow h0 3) (* h0 (pow h1 2))) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.776 * * [simplify]: iteration 0 : 297 enodes (cost 494 ) 0.784 * * [simplify]: iteration 1 : 1582 enodes (cost 420 ) 0.820 * * [simplify]: iteration 2 : 5001 enodes (cost 386 ) 0.822 * [simplify]: Simplified to: (log (* x (+ x y))) (log (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (pow (* x (+ x y)) 3) (pow (* x (+ x y)) 3) (* (cbrt (/ (* x (- (* x x) (* y y))) (- x y))) (cbrt (/ (* x (- (* x x) (* y y))) (- x y)))) (cbrt (/ (* x (- (* x x) (* y y))) (- x y))) (pow (* x (+ x y)) 3) (sqrt (/ (* x (- (* x x) (* y y))) (- x y))) (sqrt (/ (* x (- (* x x) (* y y))) (- x y))) (- (* x (- (* x x) (* y y)))) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ (- (* x x) (* y y)) (cbrt (- x y))) (/ x (sqrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) x (/ (+ x y) 1) (/ x (+ (sqrt x) (sqrt y))) (/ (- (* x x) (* y y)) (- (sqrt x) (sqrt y))) x (/ (+ x y) 1) (/ 1 (- x y)) (/ (- x y) (* x (- (* x x) (* y y)))) (/ (* x (- (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x (- (* x x) (* y y))) (sqrt (- x y))) (* x (- (* x x) (* y y))) (/ (* x (- (* x x) (* y y))) (+ (sqrt x) (sqrt y))) (* x (- (* x x) (* y y))) (/ (- x y) (- (* x x) (* y y))) (/ (* x (- (* x x) (* y y))) (- (pow x 3) (pow y 3))) x (* (+ (* (pow y 2) (+ (pow y 2) (pow x 2))) (* x (pow x 3))) (- x y)) (* (- x y) (+ (* x x) (* y y))) (* x (- (* x x) (* y y))) (log (* x (- (* x x) (* y y)))) (log (* x (- (* x x) (* y y)))) (exp (* x (- (* x x) (* y y)))) (pow (* x (- (* x x) (* y y))) 3) (* (cbrt (* x (- (* x x) (* y y)))) (cbrt (* x (- (* x x) (* y y))))) (cbrt (* x (- (* x x) (* y y)))) (pow (* x (- (* x x) (* y y))) 3) (sqrt (* x (- (* x x) (* y y)))) (sqrt (* x (- (* x x) (* y y)))) (* (sqrt x) (sqrt (- (* x x) (* y y)))) (* (sqrt x) (sqrt (- (* x x) (* y y)))) (pow x 3) (* x (- (* y y))) (pow x 3) (* x (- (* y y))) (pow x 3) (* x (- (* y y))) (pow x 3) (* x (- (* y y))) (* x (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* x (sqrt (- (* x x) (* y y)))) x (* x (+ x y)) (* (cbrt x) (- (* x x) (* y y))) (* (sqrt x) (- (* x x) (* y y))) (* x (- (* x x) (* y y))) (* x (- (pow (* x x) 3) (pow (* y y) 3))) (+ (* x (pow x 4)) (* x (* (- (pow y 3)) y))) (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4)) (- (* y y)) (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (- (* x x) (* y y))) (* x (- (* x x) (* y y))) (* x (- (* x x) (* y y))) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.823 * * * [progress]: adding candidates to table 0.959 * [progress]: [Phase 3 of 3] Extracting. 0.959 * * [regime]: Finding splitpoints for: (# #) 0.960 * * * [regime-changes]: Trying 4 branch expressions: ((+ (* x x) (* x y)) (* 2.0 (+ (* x x) (* x y))) y x) 0.960 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# #) 0.973 * * * * [regimes]: Trying to branch on (* 2.0 (+ (* x x) (* x y))) from (# #) 0.985 * * * * [regimes]: Trying to branch on y from (# #) 0.995 * * * * [regimes]: Trying to branch on x from (# #) 1.009 * * * [regime]: Found split indices: #