4.936 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (+ x y) (+ y y)) 0.014 * [simplify]: Sending expressions to egg_math: (/ (+ h0 h1) (+ h1 h1)) 0.017 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.056 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.056 * [taylor]: Taking taylor expansion of 1/2 in y 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.056 * [taylor]: Taking taylor expansion of (+ x y) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.056 * [taylor]: Taking taylor expansion of 1/2 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.056 * [taylor]: Taking taylor expansion of (+ x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.056 * [taylor]: Taking taylor expansion of 1/2 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.057 * [taylor]: Taking taylor expansion of (+ x y) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of 1/2 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.067 * [taylor]: Taking taylor expansion of 1/2 in y 0.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 (/ 1 x) in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.068 * [taylor]: Taking taylor expansion of 1/2 in x 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.068 * [taylor]: Taking taylor expansion of 1/2 in x 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.069 * [taylor]: Taking taylor expansion of 1/2 in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.078 * [taylor]: Taking taylor expansion of 1/2 in y 0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.078 * [taylor]: Taking taylor expansion of 1/2 in x 0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.078 * [taylor]: Taking taylor expansion of 1/2 in x 0.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.079 * [taylor]: Taking taylor expansion of 1/2 in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 1/2 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.089 * [simplify]: Sending expressions to egg_math: (expm1 (/ (+ h0 h1) (+ h1 h1))) (log1p (/ (+ h0 h1) (+ h1 h1))) (- (log (+ h0 h1)) (log (+ h1 h1))) (log (/ (+ h0 h1) (+ h1 h1))) (exp (/ (+ h0 h1) (+ h1 h1))) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (+ h1 h1) (+ h1 h1)) (+ h1 h1))) (* (cbrt (/ (+ h0 h1) (+ h1 h1))) (cbrt (/ (+ h0 h1) (+ h1 h1)))) (cbrt (/ (+ h0 h1) (+ h1 h1))) (* (* (/ (+ h0 h1) (+ h1 h1)) (/ (+ h0 h1) (+ h1 h1))) (/ (+ h0 h1) (+ h1 h1))) (sqrt (/ (+ h0 h1) (+ h1 h1))) (sqrt (/ (+ h0 h1) (+ h1 h1))) (- (+ h0 h1)) (- (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (cbrt (+ h0 h1)) (cbrt (+ h1 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (+ h1 h1))) (/ (cbrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (+ h0 h1)) (+ (cbrt h1) (cbrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h1)) (/ (cbrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1) (/ (cbrt (+ h0 h1)) (+ h1 h1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (cbrt h1)) (/ (cbrt (+ h0 h1)) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt h1)) (/ (cbrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) h1) (/ (cbrt (+ h0 h1)) (+ 1 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ 1 1)) (/ (cbrt (+ h0 h1)) h1) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ 1 1)) (/ (cbrt (+ h0 h1)) h1) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 2) (/ (cbrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (sqrt (+ h0 h1)) (cbrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) (sqrt (+ h1 h1))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h1)) (/ (sqrt (+ h0 h1)) (* (cbrt h1) (cbrt h1))) (/ (sqrt (+ h0 h1)) (+ (cbrt h1) (cbrt h1))) (/ (sqrt (+ h0 h1)) (sqrt h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (sqrt (+ h0 h1)) 1) (/ (sqrt (+ h0 h1)) (+ h1 h1)) (/ (sqrt (+ h0 h1)) (cbrt h1)) (/ (sqrt (+ h0 h1)) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ (sqrt (+ h0 h1)) (sqrt h1)) (/ (sqrt (+ h0 h1)) (+ (sqrt h1) (sqrt h1))) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) (+ 1 1)) (/ (sqrt (+ h0 h1)) h1) (/ (sqrt (+ h0 h1)) 2) (/ (sqrt (+ h0 h1)) h1) (/ 1 (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (cbrt (+ h1 h1))) (/ 1 (sqrt (+ h1 h1))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (+ (cbrt h1) (cbrt h1))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (cbrt h1)) (/ (+ h0 h1) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 h1) (/ (+ h0 h1) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 2) (/ (+ h0 h1) h1) (/ 1 (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (cbrt (+ h1 h1))) (/ 1 (sqrt (+ h1 h1))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (+ (cbrt h1) (cbrt h1))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 1) (/ (+ h0 h1) (+ h1 h1)) (/ 1 (cbrt h1)) (/ (+ h0 h1) (+ (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1)))) (/ 1 (sqrt h1)) (/ (+ h0 h1) (+ (sqrt h1) (sqrt h1))) (/ 1 h1) (/ (+ h0 h1) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 (+ 1 1)) (/ (+ h0 h1) h1) (/ 1 2) (/ (+ h0 h1) h1) (/ 1 (+ h1 h1)) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (+ h1 h1)) (cbrt (+ h1 h1)))) (/ (+ h0 h1) (sqrt (+ h1 h1))) (/ (+ h0 h1) 1) (/ (+ h0 h1) (* (cbrt h1) (cbrt h1))) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) 1) (/ (+ h0 h1) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) h1) (/ (+ h0 h1) (+ 1 1)) (/ (+ h0 h1) (+ 1 1)) (/ (+ h0 h1) 2) (/ (+ h1 h1) (cbrt (+ h0 h1))) (/ (+ h1 h1) (sqrt (+ h0 h1))) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h1 h1) (+ h0 h1)) (/ (+ h0 h1) (+ (pow h1 3) (pow h1 3))) (/ (+ h0 h1) (- (* h1 h1) (* h1 h1))) (* (+ h1 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ h1 h1) (- h0 h1)) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) 0.094 * * [simplify]: iteration 0 : 232 enodes (cost 524 ) 0.099 * * [simplify]: iteration 1 : 760 enodes (cost 480 ) 0.115 * * [simplify]: iteration 2 : 3170 enodes (cost 480 ) 0.204 * * [simplify]: iteration 3 : 5001 enodes (cost 480 ) 0.207 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (pow (/ (+ x y) (+ y y)) 3) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (/ (cbrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (/ (cbrt (+ x y)) 2) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (* 2 (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (/ (sqrt (+ x y)) 2) (sqrt y)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (* 2 (cbrt y))) (/ 1 (sqrt y)) (/ (/ (+ x y) 2) (sqrt y)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (/ (+ x y) 2) (pow y 3)) (/ (+ x y) 0) (* (* (fma y (- y x) (* x x)) 2) y) (* (+ y y) (- x y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 0.208 * * * [progress]: adding candidates to table 0.313 * * [progress]: iteration 2 / 4 0.313 * * * [progress]: picking best candidate 0.315 * * * * [pick]: Picked # 0.315 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.320 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 0.320 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.320 * [taylor]: Taking taylor expansion of 1/2 in y 0.320 * [taylor]: Taking taylor expansion of (/ x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of 1/2 in y 0.320 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 0.320 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [taylor]: Taking taylor expansion of (/ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 0.320 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.320 * [taylor]: Taking taylor expansion of 1/2 in x 0.320 * [taylor]: Taking taylor expansion of (/ x y) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in x 0.321 * [taylor]: Taking taylor expansion of 1/2 in y 0.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.321 * [taylor]: Taking taylor expansion of 1/2 in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 0.326 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.326 * [taylor]: Taking taylor expansion of (/ y x) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.326 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 0.326 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (/ y x) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 0.327 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (/ y x) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.327 * [taylor]: Taking taylor expansion of 1/2 in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 0.333 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.333 * [taylor]: Taking taylor expansion of (/ y x) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.333 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 0.333 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 0.333 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1/2 in x 0.334 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * * * [progress]: simplifying candidates 0.340 * [simplify]: Simplifying using # : (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.340 * [simplify]: Sending expressions to egg_math: (expm1 (fma 1/2 (/ h0 h1) 1/2)) (log1p (fma 1/2 (/ h0 h1) 1/2)) (* 1/2 (/ h0 h1)) (log (fma 1/2 (/ h0 h1) 1/2)) (exp (fma 1/2 (/ h0 h1) 1/2)) (* (cbrt (fma 1/2 (/ h0 h1) 1/2)) (cbrt (fma 1/2 (/ h0 h1) 1/2))) (cbrt (fma 1/2 (/ h0 h1) 1/2)) (* (* (fma 1/2 (/ h0 h1) 1/2) (fma 1/2 (/ h0 h1) 1/2)) (fma 1/2 (/ h0 h1) 1/2)) (sqrt (fma 1/2 (/ h0 h1) 1/2)) (sqrt (fma 1/2 (/ h0 h1) 1/2)) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) (+ (* 1/2 (/ h0 h1)) 1/2) 0.343 * * [simplify]: iteration 0 : 21 enodes (cost 44 ) 0.345 * * [simplify]: iteration 1 : 56 enodes (cost 39 ) 0.347 * * [simplify]: iteration 2 : 185 enodes (cost 39 ) 0.352 * * [simplify]: iteration 3 : 754 enodes (cost 39 ) 0.375 * * [simplify]: iteration 4 : 4801 enodes (cost 39 ) 0.474 * * [simplify]: iteration 5 : 5001 enodes (cost 39 ) 0.475 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (pow (fma 1/2 (/ x y) 1/2) 3) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 0.475 * * * [progress]: adding candidates to table 0.500 * [progress]: [Phase 3 of 3] Extracting. 0.500 * * [regime]: Finding splitpoints for: (# #) 0.500 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 0.500 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 0.510 * * * * [regimes]: Trying to branch on y from (# #) 0.520 * * * * [regimes]: Trying to branch on x from (# #) 0.534 * * * [regime]: Found split indices: #