13.507 * [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 1.0)) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 1.0) in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 1.0) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.067 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.070 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.071 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.073 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.073 * [taylor]: Taking taylor expansion of 1.0 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.086 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 1.0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.090 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.091 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.093 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.093 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.093 * [taylor]: Taking taylor expansion of 1.0 in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.107 * * * [progress]: simplifying candidates 0.108 * [simplify]: Simplifying using # : (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* x y) (+ y 1.0))) (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (* x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (* x y)) (cbrt (* x y))) (sqrt (+ y 1.0))) (/ (cbrt (* x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (* x y)) (cbrt (* x y))) 1) (/ (cbrt (* x y)) (+ y 1.0)) (/ (* (cbrt (* x y)) (cbrt (* x y))) 1) (/ (cbrt (* x y)) (+ y 1.0)) (/ (sqrt (* x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (* x y)) (cbrt (+ y 1.0))) (/ (sqrt (* x y)) (sqrt (+ y 1.0))) (/ (sqrt (* x y)) (sqrt (+ y 1.0))) (/ (sqrt (* x y)) 1) (/ (sqrt (* x y)) (+ y 1.0)) (/ (sqrt (* x y)) 1) (/ (sqrt (* x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (* x y) (+ y 1.0)) (/ 1 1) (/ (* x y) (+ y 1.0)) (/ (* (sqrt x) (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (sqrt x) (sqrt y)) (cbrt (+ y 1.0))) (/ (* (sqrt x) (sqrt y)) (sqrt (+ y 1.0))) (/ (* (sqrt x) (sqrt y)) (sqrt (+ y 1.0))) (/ (* (sqrt x) (sqrt y)) 1) (/ (* (sqrt x) (sqrt y)) (+ y 1.0)) (/ (* (sqrt x) (sqrt y)) 1) (/ (* (sqrt x) (sqrt y)) (+ y 1.0)) (/ (* x (* (cbrt y) (cbrt y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* x (* (cbrt y) (cbrt y))) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (/ (* x (* (cbrt y) (cbrt y))) 1) (/ (cbrt y) (+ y 1.0)) (/ (* x (* (cbrt y) (cbrt y))) 1) (/ (cbrt y) (+ y 1.0)) (/ (* x (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (* x (sqrt y)) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (* x (sqrt y)) 1) (/ (sqrt y) (+ y 1.0)) (/ (* x (sqrt y)) 1) (/ (sqrt y) (+ y 1.0)) (/ (* x 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ (* x 1) (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ (* x 1) 1) (/ y (+ y 1.0)) (/ (* x 1) 1) (/ y (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt x) y) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (* (cbrt x) y) (sqrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) y) (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) 1) (/ (* (cbrt x) y) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (sqrt x) y) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (* (sqrt x) y) (sqrt (+ y 1.0))) (/ (sqrt x) 1) (/ (* (sqrt x) y) (+ y 1.0)) (/ (sqrt x) 1) (/ (* (sqrt x) y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (* x y) (+ y 1.0)) (/ 1 1) (/ (* x y) (+ y 1.0)) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y 1) (/ x (+ y 1.0)) (/ y 1) (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (+ y 1.0) (cbrt (* x y))) (/ (+ y 1.0) (sqrt (* x y))) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* (sqrt x) (sqrt y))) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ (+ y 1.0) (* (cbrt x) y)) (/ (+ y 1.0) (* (sqrt x) y)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) x) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.116 * * [simplify]: iteration 0 : 350 enodes (cost 541 ) 0.127 * * [simplify]: iteration 1 : 1654 enodes (cost 515 ) 0.174 * * [simplify]: iteration 2 : 5001 enodes (cost 512 ) 0.179 * [simplify]: Simplified to: (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ (/ x (cbrt (+ y 1.0))) (cbrt (+ y 1.0))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ (* (cbrt (* x y)) (cbrt (* x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (* x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (* x y)) (cbrt (* x y))) (sqrt (+ y 1.0))) (/ (cbrt (* x y)) (sqrt (+ y 1.0))) (* (cbrt (* x y)) (cbrt (* x y))) (/ (cbrt (* x y)) (+ y 1.0)) (* (cbrt (* x y)) (cbrt (* x y))) (/ (cbrt (* x y)) (+ y 1.0)) (/ (sqrt (* x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (* x y)) (cbrt (+ y 1.0))) (/ (sqrt (* x y)) (sqrt (+ y 1.0))) (/ (sqrt (* x y)) (sqrt (+ y 1.0))) (sqrt (* x y)) (/ (sqrt (* x y)) (+ y 1.0)) (sqrt (* x y)) (/ (sqrt (* x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) 1 (/ (* x y) (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ (* (sqrt x) (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (sqrt x) (sqrt y)) (cbrt (+ y 1.0))) (/ (* (sqrt x) (sqrt y)) (sqrt (+ y 1.0))) (/ (* (sqrt x) (sqrt y)) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt y)) (/ (* (sqrt x) (sqrt y)) (+ y 1.0)) (* (sqrt x) (sqrt y)) (/ (* (sqrt x) (sqrt y)) (+ y 1.0)) (/ (* x (* (cbrt y) (cbrt y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* x (* (cbrt y) (cbrt y))) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) (+ y 1.0)) (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) (+ y 1.0)) (/ (* x (sqrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (* x (sqrt y)) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (* x (sqrt y)) (/ (pow y 1/2) (+ y 1.0)) (* x (sqrt y)) (/ (pow y 1/2) (+ y 1.0)) (/ (/ x (cbrt (+ y 1.0))) (cbrt (+ y 1.0))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (cbrt x) y) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (* (cbrt x) y) (sqrt (+ y 1.0))) (* (cbrt x) (cbrt x)) (/ (* (cbrt x) y) (+ y 1.0)) (* (cbrt x) (cbrt x)) (/ (* (cbrt x) y) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* (sqrt x) y) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (* (sqrt x) y) (sqrt (+ y 1.0))) (sqrt x) (/ (* (sqrt x) y) (+ y 1.0)) (sqrt x) (/ (* (sqrt x) y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) 1 (/ (* x y) (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) y (/ x (+ y 1.0)) y (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (+ y 1.0) y) (/ (+ y 1.0) (cbrt (* x y))) (/ (+ y 1.0) (sqrt (* x y))) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* (sqrt x) (sqrt y))) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ (+ y 1.0) (* (cbrt x) y)) (/ (+ y 1.0) (* (sqrt x) y)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) x) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) 0.180 * * * [progress]: adding candidates to table 0.291 * * [progress]: iteration 2 / 4 0.291 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.296 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.313 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.322 * * * [progress]: generating series expansions 0.322 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.322 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.322 * [taylor]: Taking taylor expansion of (* x y) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 1.0 in y 0.323 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.323 * [taylor]: Taking taylor expansion of (* x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.324 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of (* x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.335 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 1.0 in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.338 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.340 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of 1.0 in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.341 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.341 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.341 * [taylor]: Taking taylor expansion of 1.0 in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 1 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.355 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.355 * [taylor]: Taking taylor expansion of x in y 0.355 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.359 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.360 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.361 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.362 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.362 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.362 * [taylor]: Taking taylor expansion of 1.0 in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of 1 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.384 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.384 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.393 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.409 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.409 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.409 * [taylor]: Taking taylor expansion of -1 in y 0.409 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.409 * [taylor]: Taking taylor expansion of 1.0 in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.412 * [taylor]: Taking taylor expansion of -1 in y 0.412 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.412 * [taylor]: Taking taylor expansion of 1.0 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.425 * * * [progress]: simplifying candidates 0.427 * [simplify]: Simplifying using # : (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (* (* (* x x) x) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* x x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0)))) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (* (* (* x (/ y (+ y 1.0))) (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (* x (- y)) (* x 1) (* x (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ y (sqrt (+ y 1.0)))) (* x (/ y 1)) (* x (/ y 1)) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) (* x 1) (expm1 (/ y (+ y 1.0))) (log1p (/ y (+ y 1.0))) (- (log y) (log (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ 1 1) (/ y (+ y 1.0)) (/ 1 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) (/ y 1) (/ y 1) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ (* 1.0 (pow y 3)) (* 1.0 y)) (* 1.0 (pow y 2))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) 0.434 * * [simplify]: iteration 0 : 320 enodes (cost 415 ) 0.447 * * [simplify]: iteration 1 : 1495 enodes (cost 375 ) 0.498 * * [simplify]: iteration 2 : 5001 enodes (cost 370 ) 0.502 * [simplify]: Simplified to: (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (pow (* x (/ y (+ y 1.0))) 3) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (* (cbrt y) (cbrt y))) (* x (* (cbrt y) (cbrt y))) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt y) x) (* (sqrt y) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x x (* y x) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* y x) (* x (- y)) x (* x (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ y (sqrt (+ y 1.0)))) (* y x) (* y x) (* x (* (cbrt y) (cbrt y))) (* (sqrt y) x) x (expm1 (/ y (+ y 1.0))) (log1p (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (sqrt y) (/ (sqrt y) (+ y 1.0)) (sqrt y) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) 1 (/ y (+ y 1.0)) 1 (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) y y (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (* 1.0 (- (+ (pow y 3) y) (pow y 2))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) 0.503 * * * [progress]: adding candidates to table 0.624 * * [progress]: iteration 3 / 4 0.624 * * * [progress]: picking best candidate 0.627 * * * * [pick]: Picked # 0.627 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.649 * * * [progress]: generating series expansions 0.649 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.650 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.650 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.650 * [taylor]: Taking taylor expansion of (* x y) in y 0.650 * [taylor]: Taking taylor expansion of x in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of 1.0 in y 0.651 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of (* x y) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.652 * [taylor]: Taking taylor expansion of (* x y) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.664 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.664 * [taylor]: Taking taylor expansion of x in y 0.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of 1.0 in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.667 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.668 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.670 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.670 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.670 * [taylor]: Taking taylor expansion of 1.0 in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of 1 in y 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.684 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.684 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.684 * [taylor]: Taking taylor expansion of x in y 0.684 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.684 * [taylor]: Taking taylor expansion of 1.0 in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.688 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.690 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.691 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.691 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.691 * [taylor]: Taking taylor expansion of 1.0 in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 1 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [taylor]: Taking taylor expansion of 0 in y 0.707 * * * [progress]: simplifying candidates 0.709 * [simplify]: Simplifying using # : (expm1 (/ x (/ (+ y 1.0) y))) (log1p (/ x (/ (+ y 1.0) y))) (- (log x) (- (log (+ y 1.0)) (log y))) (- (log x) (log (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (/ (* (* x x) x) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* y y) y))) (/ (* (* x x) x) (* (* (/ (+ y 1.0) y) (/ (+ y 1.0) y)) (/ (+ y 1.0) y))) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (* (* (/ x (/ (+ y 1.0) y)) (/ x (/ (+ y 1.0) y))) (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (- x) (- (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) 1)) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 (sqrt y))) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (/ (* (cbrt x) (cbrt x)) (/ 1 1)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (/ (cbrt x) (/ 1 y)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) 1)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (/ (sqrt x) (/ 1 (sqrt y))) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (/ (sqrt x) (/ 1 1)) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) 1) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) (/ 1 y)) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ 1 (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (+ y 1.0)) 1)) (/ x (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ x (/ (+ y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ x (/ (+ y 1.0) y)) (/ 1 1) (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (/ x (/ 1 y)) (/ 1 (/ (+ y 1.0) y)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) 1)) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (/ (sqrt (+ y 1.0)) 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ x (/ 1 (sqrt y))) (/ x (/ 1 1)) (/ x 1) (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (/ x (- (+ y 1.0))) (/ x 1) (/ x (/ (+ y 1.0) (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (sqrt y))) (/ x (/ (+ y 1.0) 1)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) (/ x 1) (/ x 1) (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.717 * * [simplify]: iteration 0 : 418 enodes (cost 696 ) 0.732 * * [simplify]: iteration 1 : 1886 enodes (cost 665 ) 0.786 * * [simplify]: iteration 2 : 5001 enodes (cost 662 ) 0.797 * [simplify]: Simplified to: (expm1 (/ x (/ (+ y 1.0) y))) (log1p (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (log (/ x (/ (+ y 1.0) y))) (exp (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (pow (/ x (/ (+ y 1.0) y)) 3) (* (cbrt (/ x (/ (+ y 1.0) y))) (cbrt (/ x (/ (+ y 1.0) y)))) (cbrt (/ x (/ (+ y 1.0) y))) (pow (/ x (/ (+ y 1.0) y)) 3) (sqrt (/ x (/ (+ y 1.0) y))) (sqrt (/ x (/ (+ y 1.0) y))) (- x) (- (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (cbrt x) (cbrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (sqrt (/ (+ y 1.0) y))) (/ (cbrt x) (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (cbrt x))) (/ (cbrt x) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (* (cbrt x) (cbrt x)) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) (cbrt x))) (/ (cbrt x) (/ (sqrt (+ y 1.0)) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (cbrt x) (/ (+ y 1.0) (cbrt y))) (* (* (cbrt x) (cbrt x)) (sqrt y)) (/ (cbrt x) (/ (+ y 1.0) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (+ y 1.0) y)) (/ (* (cbrt x) (cbrt x)) (+ y 1.0)) (* y (cbrt x)) (/ (sqrt x) (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ (sqrt x) (cbrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (sqrt (/ (+ y 1.0) y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (/ (sqrt (+ y 1.0)) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (* (sqrt x) (* (cbrt y) (cbrt y))) (/ (sqrt x) (/ (+ y 1.0) (cbrt y))) (* (sqrt x) (sqrt y)) (/ (sqrt x) (/ (+ y 1.0) (sqrt y))) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (sqrt x) (/ (sqrt x) (/ (+ y 1.0) y)) (/ (sqrt x) (+ y 1.0)) (* (sqrt x) y) (/ 1 (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (cbrt (/ (+ y 1.0) y))) (/ 1 (sqrt (/ (+ y 1.0) y))) (/ x (sqrt (/ (+ y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (cbrt y))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (sqrt (+ y 1.0))) (/ x (/ (sqrt (+ y 1.0)) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) (* (cbrt y) (cbrt y)) (/ x (/ (+ y 1.0) (cbrt y))) (sqrt y) (/ x (/ (+ y 1.0) (sqrt y))) 1 (/ x (/ (+ y 1.0) y)) 1 (/ x (/ (+ y 1.0) y)) (/ 1 (+ y 1.0)) (* x y) (/ y (+ y 1.0)) (/ (/ (+ y 1.0) y) x) (/ x (* (cbrt (/ (+ y 1.0) y)) (cbrt (/ (+ y 1.0) y)))) (/ x (sqrt (/ (+ y 1.0) y))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (* (cbrt y) (cbrt y)))) (/ x (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (sqrt y))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (/ (sqrt (+ y 1.0)) (* (cbrt y) (cbrt y)))) (/ x (/ (sqrt (+ y 1.0)) (sqrt y))) (/ x (sqrt (+ y 1.0))) (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x (* x (* (cbrt y) (cbrt y))) (* x (sqrt y)) x x (/ x (+ y 1.0)) (/ (/ (+ y 1.0) y) (cbrt x)) (/ (/ (+ y 1.0) y) (sqrt x)) (/ (/ (+ y 1.0) y) x) (/ x (+ y 1.0)) (/ x (- (+ y 1.0))) x (/ x (/ (+ y 1.0) (* (cbrt y) (cbrt y)))) (/ x (/ (+ y 1.0) (sqrt y))) (/ x (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (* 1.0 (- (fma x y (* x (pow y 3))) (* x (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) 0.798 * * * [progress]: adding candidates to table 1.196 * * [progress]: iteration 4 / 4 1.196 * * * [progress]: picking best candidate 1.198 * * * * [pick]: Picked # 1.198 * * * [progress]: localizing error 1.203 * * * [progress]: generating rewritten candidates 1.203 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.215 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.224 * * * [progress]: generating series expansions 1.224 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.225 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.225 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.225 * [taylor]: Taking taylor expansion of (* x y) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.225 * [taylor]: Taking taylor expansion of 1.0 in y 1.226 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.226 * [taylor]: Taking taylor expansion of (* x y) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.226 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.227 * [taylor]: Taking taylor expansion of (* x y) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.228 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.228 * [taylor]: Taking taylor expansion of y in y 1.228 * [taylor]: Taking taylor expansion of 1.0 in y 1.234 * [taylor]: Taking taylor expansion of 0 in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.243 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.244 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.244 * [taylor]: Taking taylor expansion of x in y 1.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of 1.0 in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.247 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.248 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.250 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.250 * [taylor]: Taking taylor expansion of 1.0 in y 1.250 * [taylor]: Taking taylor expansion of y in y 1.250 * [taylor]: Taking taylor expansion of 1 in y 1.253 * [taylor]: Taking taylor expansion of 0 in y 1.259 * [taylor]: Taking taylor expansion of 0 in y 1.263 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 1.264 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 1.264 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.264 * [taylor]: Taking taylor expansion of x in y 1.264 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.264 * [taylor]: Taking taylor expansion of 1.0 in y 1.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.268 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.268 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.268 * [taylor]: Taking taylor expansion of 1.0 in x 1.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.268 * [taylor]: Taking taylor expansion of y in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 1.269 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.269 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.270 * [taylor]: Taking taylor expansion of y in x 1.270 * [taylor]: Taking taylor expansion of y in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 1.271 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.271 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.271 * [taylor]: Taking taylor expansion of 1.0 in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of 1 in y 1.274 * [taylor]: Taking taylor expansion of 0 in y 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.287 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.287 * [approximate]: Taking taylor expansion of (/ x (+ y 1.0)) in (x y) around 0 1.287 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of 1.0 in y 1.287 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (/ x (+ y 1.0)) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of 1.0 in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 1.288 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of 1.0 in y 1.289 * [taylor]: Taking taylor expansion of 0 in y 1.292 * [taylor]: Taking taylor expansion of 0 in y 1.295 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in (x y) around 0 1.296 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in y 1.296 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of 1.0 in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in x 1.296 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.296 * [taylor]: Taking taylor expansion of y in x 1.297 * [taylor]: Taking taylor expansion of 1.0 in x 1.297 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) 1.0))) in x 1.298 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 1.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of 1.0 in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.309 * [approximate]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in (x y) around 0 1.310 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in y 1.310 * [taylor]: Taking taylor expansion of -1 in y 1.310 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 1.310 * [taylor]: Taking taylor expansion of x in y 1.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.310 * [taylor]: Taking taylor expansion of 1.0 in y 1.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.310 * [taylor]: Taking taylor expansion of y in y 1.311 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in x 1.311 * [taylor]: Taking taylor expansion of -1 in x 1.311 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.311 * [taylor]: Taking taylor expansion of y in x 1.312 * [taylor]: Taking taylor expansion of (/ -1 (* x (- 1.0 (/ 1 y)))) in x 1.312 * [taylor]: Taking taylor expansion of -1 in x 1.312 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.312 * [taylor]: Taking taylor expansion of 1.0 in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 1.314 * [taylor]: Taking taylor expansion of -1 in y 1.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.314 * [taylor]: Taking taylor expansion of 1.0 in y 1.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.314 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of 0 in y 1.322 * [taylor]: Taking taylor expansion of 0 in y 1.332 * * * [progress]: simplifying candidates 1.333 * [simplify]: Simplifying using # : (expm1 (* (/ x (+ y 1.0)) y)) (log1p (* (/ x (+ y 1.0)) y)) (* (/ x (+ y 1.0)) y) (+ (- (log x) (log (+ y 1.0))) (log y)) (+ (log (/ x (+ y 1.0))) (log y)) (log (* (/ x (+ y 1.0)) y)) (exp (* (/ x (+ y 1.0)) y)) (* (/ (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (* y y) y)) (* (* (* (/ x (+ y 1.0)) (/ x (+ y 1.0))) (/ x (+ y 1.0))) (* (* y y) y)) (* (cbrt (* (/ x (+ y 1.0)) y)) (cbrt (* (/ x (+ y 1.0)) y))) (cbrt (* (/ x (+ y 1.0)) y)) (* (* (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y)) (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (sqrt (/ x (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ x (+ y 1.0)) (* (cbrt y) (cbrt y))) (* (/ x (+ y 1.0)) (sqrt y)) (* (/ x (+ y 1.0)) 1) (* (cbrt (/ x (+ y 1.0))) y) (* (sqrt (/ x (+ y 1.0))) y) (* (/ (cbrt x) (cbrt (+ y 1.0))) y) (* (/ (cbrt x) (sqrt (+ y 1.0))) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (sqrt x) (cbrt (+ y 1.0))) y) (* (/ (sqrt x) (sqrt (+ y 1.0))) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ x (cbrt (+ y 1.0))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ 1 (+ y 1.0)) y) (* (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) y) (* (- y 1.0) y) (* x y) (* (- x) y) (* 1 y) (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x 1) y) (* (/ x 1) y) (* (* (cbrt x) (cbrt x)) y) (* (sqrt x) y) (* 1 y) (expm1 (/ x (+ y 1.0))) (log1p (/ x (+ y 1.0))) (- (log x) (log (+ y 1.0))) (log (/ x (+ y 1.0))) (exp (/ x (+ y 1.0))) (/ (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ x (+ y 1.0))) (cbrt (/ x (+ y 1.0)))) (cbrt (/ x (+ y 1.0))) (* (* (/ x (+ y 1.0)) (/ x (+ y 1.0))) (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (- x) (- (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt x) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (cbrt x) (sqrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) 1) (/ (sqrt x) (+ y 1.0)) (/ (sqrt x) 1) (/ (sqrt x) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ 1 1) (/ x (+ y 1.0)) (/ 1 1) (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) (/ x 1) (/ x 1) (/ (+ y 1.0) (cbrt x)) (/ (+ y 1.0) (sqrt x)) (/ (+ y 1.0) x) (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ (* 1.0 (* x (pow y 2))) (* 1.0 x)) (* 1.0 (* x y))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) (- (+ (* 1.0 (/ x (pow y 3))) (/ x y)) (* 1.0 (/ x (pow y 2)))) 1.340 * * [simplify]: iteration 0 : 324 enodes (cost 417 ) 1.351 * * [simplify]: iteration 1 : 1583 enodes (cost 375 ) 1.390 * * [simplify]: iteration 2 : 5001 enodes (cost 372 ) 1.394 * [simplify]: Simplified to: (expm1 (* (/ x (+ y 1.0)) y)) (log1p (* (/ x (+ y 1.0)) y)) (* (/ x (+ y 1.0)) y) (log (* (/ x (+ y 1.0)) y)) (log (* (/ x (+ y 1.0)) y)) (log (* (/ x (+ y 1.0)) y)) (exp (* (/ x (+ y 1.0)) y)) (pow (* (/ x (+ y 1.0)) y) 3) (pow (* (/ x (+ y 1.0)) y) 3) (* (cbrt (* (/ x (+ y 1.0)) y)) (cbrt (* (/ x (+ y 1.0)) y))) (cbrt (* (/ x (+ y 1.0)) y)) (pow (* (/ x (+ y 1.0)) y) 3) (sqrt (* (/ x (+ y 1.0)) y)) (sqrt (* (/ x (+ y 1.0)) y)) (* (sqrt (/ x (+ y 1.0))) (pow y 1/2)) (* (sqrt (/ x (+ y 1.0))) (pow y 1/2)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt y)) (* (/ x (+ y 1.0)) (* (cbrt y) (cbrt y))) (* (/ x (+ y 1.0)) (sqrt y)) (/ x (+ y 1.0)) (* (cbrt (/ x (+ y 1.0))) y) (* (sqrt (/ x (+ y 1.0))) y) (* (/ (cbrt x) (cbrt (+ y 1.0))) y) (* (/ (cbrt x) (sqrt (+ y 1.0))) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (cbrt x) (+ y 1.0)) y) (* (/ (sqrt x) (cbrt (+ y 1.0))) y) (* (/ (sqrt x) (sqrt (+ y 1.0))) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ (sqrt x) (+ y 1.0)) y) (* (/ x (cbrt (+ y 1.0))) y) (* (/ x (sqrt (+ y 1.0))) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (* (/ x (+ y 1.0)) y) (/ y (+ y 1.0)) (* (fma y y (* 1.0 (- 1.0 y))) y) (* (- y 1.0) y) (* y x) (* (- x) y) y (* (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) y) (* (/ x (sqrt (+ y 1.0))) y) (* y x) (* y x) (* (* (cbrt x) (cbrt x)) y) (* (sqrt x) y) y (expm1 (/ x (+ y 1.0))) (log1p (/ x (+ y 1.0))) (log (/ x (+ y 1.0))) (log (/ x (+ y 1.0))) (exp (/ x (+ y 1.0))) (pow (/ x (+ y 1.0)) 3) (* (cbrt (/ x (+ y 1.0))) (cbrt (/ x (+ y 1.0)))) (cbrt (/ x (+ y 1.0))) (pow (/ x (+ y 1.0)) 3) (sqrt (/ x (+ y 1.0))) (sqrt (/ x (+ y 1.0))) (- x) (- (+ y 1.0)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt x) (cbrt (+ y 1.0))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 1.0))) (/ (cbrt x) (sqrt (+ y 1.0))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y 1.0)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y 1.0)) (/ (sqrt x) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt x) (cbrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (/ (sqrt x) (sqrt (+ y 1.0))) (sqrt x) (/ (sqrt x) (+ y 1.0)) (sqrt x) (/ (sqrt x) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) 1 (/ x (+ y 1.0)) 1 (/ x (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x (/ (+ y 1.0) (cbrt x)) (/ (+ y 1.0) (sqrt x)) (/ (+ y 1.0) x) (/ x (+ (pow y 3) (pow 1.0 3))) (/ x (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (* 1.0 (- (fma (pow y 2) x x) (* y x))) (fma 1.0 (/ x (pow y 3)) (- (/ x y) (* 1.0 (/ x (pow y 2))))) (fma 1.0 (/ x (pow y 3)) (- (/ x y) (* 1.0 (/ x (pow y 2))))) 1.394 * * * [progress]: adding candidates to table 1.505 * [progress]: [Phase 3 of 3] Extracting. 1.506 * * [regime]: Finding splitpoints for: (# #) 1.506 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.506 * * * * [regimes]: Trying to branch on y from (# #) 1.517 * * * * [regimes]: Trying to branch on x from (# #) 1.531 * * * [regime]: Found split indices: #