18.064 * [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)) 0.017 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.042 * [taylor]: Taking taylor expansion of (* x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of (* x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.057 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) 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 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.059 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.059 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.071 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of 1.0 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.074 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.075 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.077 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.077 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.077 * [taylor]: Taking taylor expansion of 1.0 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.091 * [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)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.096 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.102 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.123 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.225 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.226 * [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)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma (/ x y) (- (/ 1.0 y) 1.0) x) (fma (/ x y) (- (/ 1.0 y) 1.0) x) 0.227 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 2 / 4 0.282 * * * [progress]: picking best candidate 0.286 * * * * [pick]: Picked # 0.286 * * * [progress]: localizing error 0.291 * * * [progress]: generating rewritten candidates 0.291 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.301 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.309 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.309 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.309 * [taylor]: Taking taylor expansion of (* x y) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.320 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 1.0 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.323 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.324 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) 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 y in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.325 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.325 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.342 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.342 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.345 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.346 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.347 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.347 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.348 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of 0 in y 0.360 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.360 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.360 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.361 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.368 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.370 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 1.0 in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.381 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.381 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.381 * [taylor]: Taking taylor expansion of -1 in y 0.381 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.381 * [taylor]: Taking taylor expansion of 1.0 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.384 * [taylor]: Taking taylor expansion of -1 in y 0.384 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.397 * * * [progress]: simplifying candidates 0.398 * [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) (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))) 0.404 * * [simplify]: iteration 0 : 305 enodes (cost 392 ) 0.413 * * [simplify]: iteration 1 : 1398 enodes (cost 354 ) 0.443 * * [simplify]: iteration 2 : 5001 enodes (cost 349 ) 0.446 * [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)))) (* (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) x) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt y) x) (* (sqrt y) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x x (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (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))) 0.446 * * * [progress]: adding candidates to table 0.573 * * [progress]: iteration 3 / 4 0.573 * * * [progress]: picking best candidate 0.576 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.582 * * * [progress]: generating rewritten candidates 0.582 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.589 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.601 * * * [progress]: generating series expansions 0.601 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.601 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (y x) around 0 0.601 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 0.601 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (* x y) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.602 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of 1.0 in y 0.602 * [taylor]: Taking taylor expansion of (* x y) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.603 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 1.0 in y 0.603 * [taylor]: Taking taylor expansion of (* x y) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of 0 in x 0.609 * [taylor]: Taking taylor expansion of 0 in x 0.610 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (y x) around 0 0.610 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 1.0 in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of 1.0 in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of 0 in x 0.627 * [taylor]: Taking taylor expansion of 0 in x 0.628 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (y x) around 0 0.628 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.628 * [taylor]: Taking taylor expansion of 1.0 in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.629 * [taylor]: Taking taylor expansion of x in y 0.629 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.629 * [taylor]: Taking taylor expansion of 1.0 in y 0.629 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of 0 in x 0.632 * [taylor]: Taking taylor expansion of (- x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.642 * [taylor]: Taking taylor expansion of 0 in x 0.643 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.643 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (y x) around 0 0.643 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of (* x y) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.644 * [taylor]: Taking taylor expansion of (* x y) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of 1.0 in y 0.645 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.645 * [taylor]: Taking taylor expansion of (* x y) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of 1.0 in y 0.646 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (- (* 1.0 x)) in x 0.648 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.654 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (y x) around 0 0.654 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.654 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.655 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of 1.0 in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.657 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of 1.0 in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.669 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (y x) around 0 0.669 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.669 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.670 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of 1.0 in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.673 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.673 * [taylor]: Taking taylor expansion of 1.0 in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.676 * [taylor]: Taking taylor expansion of -1 in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.686 * * * [progress]: simplifying candidates 0.687 * [simplify]: Simplifying using # : (expm1 (/ (+ y 1.0) (* x y))) (log1p (/ (+ y 1.0) (* x y))) (- (log (+ y 1.0)) (+ (log x) (log y))) (- (log (+ y 1.0)) (log (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x 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) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (* x y) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (* x y) (- y 1.0)) (expm1 (/ 1 (/ (+ y 1.0) (* x y)))) (log1p (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (- (log (+ y 1.0)) (log (* x y)))) (- (log (/ (+ y 1.0) (* x y)))) (- 0 (- (log (+ y 1.0)) (+ (log x) (log y)))) (- 0 (- (log (+ y 1.0)) (log (* x y)))) (- 0 (log (/ (+ y 1.0) (* x y)))) (- (log 1) (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (log 1) (- (log (+ y 1.0)) (log (* x y)))) (- (log 1) (log (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (exp (/ 1 (/ (+ y 1.0) (* x y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y)))) (/ (* (* 1 1) 1) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y)))) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (* (* (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (/ (+ y 1.0) (* x y)))) (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (cbrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y 1.0) (* x y)))) (/ (cbrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (cbrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y 1.0)) x)) (/ (cbrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (+ y 1.0)) (/ (cbrt 1) (/ 1 (* x y))) (/ (sqrt 1) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (sqrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (sqrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y 1.0) (* x y))) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) (/ 1 (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 1) (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (+ y 1.0)) (/ 1 (/ 1 (* x y))) (/ 1 (/ (+ y 1.0) (* x y))) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ 1 x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 (+ y 1.0)) (/ (/ (+ y 1.0) (* x y)) (cbrt 1)) (/ (/ (+ y 1.0) (* x y)) (sqrt 1)) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (+ y 1.0)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.695 * * [simplify]: iteration 0 : 376 enodes (cost 590 ) 0.705 * * [simplify]: iteration 1 : 1864 enodes (cost 504 ) 0.739 * * [simplify]: iteration 2 : 5001 enodes (cost 451 ) 0.743 * [simplify]: Simplified to: (expm1 (/ (+ y 1.0) (* x y))) (log1p (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (pow (/ (+ y 1.0) (* x y)) 3) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x 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) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (* x y) (fma 1.0 (- 1.0 y) (pow y 2))) (* (* x y) (- y 1.0)) (expm1 (/ 1 (/ (+ y 1.0) (* x y)))) (log1p (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (pow (exp (/ x (+ y 1.0))) y) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x 1 (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ 1 (+ y 1.0)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (fma 1.0 (/ 1 (* x y)) (/ 1 x)) (* 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) 0.743 * * * [progress]: adding candidates to table 0.845 * * [progress]: iteration 4 / 4 0.845 * * * [progress]: picking best candidate 0.847 * * * * [pick]: Picked # 0.847 * * * [progress]: localizing error 0.855 * * * [progress]: generating rewritten candidates 0.855 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.871 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.888 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.903 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.903 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of 1.0 in y 0.904 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of 1.0 in y 0.917 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 1.0 in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.920 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of 1.0 in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.931 * [approximate]: Taking taylor expansion of (/ (cbrt -1) (* y (- 1.0 (/ 1 y)))) in (y) around 0 0.931 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* y (- 1.0 (/ 1 y)))) in y 0.931 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.931 * [taylor]: Taking taylor expansion of -1 in y 0.932 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.932 * [taylor]: Taking taylor expansion of 1.0 in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* y (- 1.0 (/ 1 y)))) in y 0.935 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.935 * [taylor]: Taking taylor expansion of -1 in y 0.936 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.936 * [taylor]: Taking taylor expansion of 1.0 in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.958 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.959 * [approximate]: Taking taylor expansion of (pow (/ y (+ y 1.0)) 3) in (y) around 0 0.959 * [taylor]: Taking taylor expansion of (pow (/ y (+ y 1.0)) 3) in y 0.959 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of 1.0 in y 0.959 * [taylor]: Taking taylor expansion of (pow (/ y (+ y 1.0)) 3) in y 0.960 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of 1.0 in y 0.974 * [approximate]: Taking taylor expansion of (pow (/ 1 (* (+ (/ 1 y) 1.0) y)) 3) in (y) around 0 0.974 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (+ (/ 1 y) 1.0) y)) 3) in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.974 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.974 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of 1.0 in y 0.975 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (+ (/ 1 y) 1.0) y)) 3) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.977 * [taylor]: Taking taylor expansion of 1.0 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.996 * [approximate]: Taking taylor expansion of (pow (/ -1 (* (- 1.0 (/ 1 y)) y)) 3) in (y) around 0 0.996 * [taylor]: Taking taylor expansion of (pow (/ -1 (* (- 1.0 (/ 1 y)) y)) 3) in y 0.996 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.996 * [taylor]: Taking taylor expansion of -1 in y 0.996 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.996 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.996 * [taylor]: Taking taylor expansion of 1.0 in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of y in y 0.999 * [taylor]: Taking taylor expansion of (pow (/ -1 (* (- 1.0 (/ 1 y)) y)) 3) in y 0.999 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.999 * [taylor]: Taking taylor expansion of -1 in y 0.999 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.999 * [taylor]: Taking taylor expansion of 1.0 in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.999 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.024 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.024 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 1.024 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 1.024 * [taylor]: Taking taylor expansion of (* x y) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of 1.0 in y 1.025 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.025 * [taylor]: Taking taylor expansion of (* x y) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.025 * [taylor]: Taking taylor expansion of y in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 1.026 * [taylor]: Taking taylor expansion of (* x y) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of 1.0 in y 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.035 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 1.036 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 1.036 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 1.036 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of 1.0 in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.038 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.038 * [taylor]: Taking taylor expansion of x in x 1.038 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.038 * [taylor]: Taking taylor expansion of 1.0 in x 1.038 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 1.039 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.039 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 1.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 1.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.039 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of y in x 1.040 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 1.040 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 1.040 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.040 * [taylor]: Taking taylor expansion of 1.0 in y 1.040 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of 1 in y 1.043 * [taylor]: Taking taylor expansion of 0 in y 1.048 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [approximate]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y)))) in (x y) around 0 1.052 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y)))) in y 1.052 * [taylor]: Taking taylor expansion of -1 in y 1.052 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y))) in y 1.052 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.052 * [taylor]: Taking taylor expansion of -1 in y 1.053 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.053 * [taylor]: Taking taylor expansion of 1.0 in y 1.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [taylor]: Taking taylor expansion of y in y 1.056 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y)))) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.056 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y))) in x 1.056 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.056 * [taylor]: Taking taylor expansion of -1 in x 1.057 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.057 * [taylor]: Taking taylor expansion of y in x 1.059 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y)))) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.059 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (* x (* (- 1.0 (/ 1 y)) y))) in x 1.059 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.059 * [taylor]: Taking taylor expansion of -1 in x 1.060 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 1.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.060 * [taylor]: Taking taylor expansion of y in x 1.062 * [taylor]: Taking taylor expansion of (* -1 (/ (cbrt -1) (- (* 1.0 y) 1))) in y 1.062 * [taylor]: Taking taylor expansion of -1 in y 1.062 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (- (* 1.0 y) 1)) in y 1.062 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.062 * [taylor]: Taking taylor expansion of -1 in y 1.063 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 1.063 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.063 * [taylor]: Taking taylor expansion of 1.0 in y 1.063 * [taylor]: Taking taylor expansion of y in y 1.063 * [taylor]: Taking taylor expansion of 1 in y 1.068 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.093 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 1.093 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [taylor]: Taking taylor expansion of 1.0 in y 1.094 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of 1.0 in y 1.107 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 1.107 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 1.107 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of 1.0 in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 1.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of 1.0 in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.121 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 1.121 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 1.121 * [taylor]: Taking taylor expansion of -1 in y 1.121 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.121 * [taylor]: Taking taylor expansion of 1.0 in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.121 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 1.124 * [taylor]: Taking taylor expansion of -1 in y 1.124 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.124 * [taylor]: Taking taylor expansion of 1.0 in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.136 * * * [progress]: simplifying candidates 1.139 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (/ y (+ y 1.0)) 3))) (log1p (cbrt (pow (/ y (+ y 1.0)) 3))) (log (cbrt (pow (/ y (+ y 1.0)) 3))) (exp (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3)) (cbrt (pow (cbrt (/ y (+ y 1.0))) 3)) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3)) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ (cbrt y) (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (cbrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3)) (cbrt (pow (/ (cbrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3)) (cbrt (pow (/ (cbrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ (sqrt y) (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) 1) 3)) (cbrt (pow (/ (sqrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (sqrt y) 1) 3)) (cbrt (pow (/ (sqrt y) (+ y 1.0)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ y (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ 1 (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ y (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow y 3)) (cbrt (pow (/ 1 (+ y 1.0)) 3)) (cbrt (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3)) (cbrt (pow (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) 3)) (cbrt (pow (/ y (- (* y y) (* 1.0 1.0))) 3)) (cbrt (pow (- y 1.0) 3)) (cbrt (* (/ y (+ y 1.0)) (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (cbrt (* (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ y (+ y 1.0)) 3)))) (cbrt (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3)) (cbrt (pow (cbrt (/ y (+ y 1.0))) 3)) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3)) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ (cbrt y) (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (cbrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3)) (cbrt (pow (/ (cbrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3)) (cbrt (pow (/ (cbrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ (sqrt y) (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ (sqrt y) 1) 3)) (cbrt (pow (/ (sqrt y) (+ y 1.0)) 3)) (cbrt (pow (/ (sqrt y) 1) 3)) (cbrt (pow (/ (sqrt y) (+ y 1.0)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3)) (cbrt (pow (/ y (cbrt (+ y 1.0))) 3)) (cbrt (pow (/ 1 (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ y (sqrt (+ y 1.0))) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ 1 1) 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow y 3)) (cbrt (pow (/ 1 (+ y 1.0)) 3)) (cbrt (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3)) (cbrt (pow (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) 3)) (cbrt (pow (/ y (- (* y y) (* 1.0 1.0))) 3)) (cbrt (pow (- y 1.0) 3)) (cbrt (/ y (+ y 1.0))) (cbrt (* (/ y (+ y 1.0)) (/ y (+ y 1.0)))) (cbrt (sqrt (pow (/ y (+ y 1.0)) 3))) (cbrt (sqrt (pow (/ y (+ y 1.0)) 3))) (cbrt 1) (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ y (+ y 1.0)) (/ 3 2))) (cbrt (pow (/ y (+ y 1.0)) (/ 3 2))) (cbrt (pow y 3)) (cbrt (pow (+ y 1.0) 3)) (* (cbrt (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (cbrt (pow (/ y (+ y 1.0)) 3)))) (cbrt (cbrt (pow (/ y (+ y 1.0)) 3))) (* (* (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (pow (/ y (+ y 1.0)) 3))) (sqrt (cbrt (pow (/ y (+ y 1.0)) 3))) (sqrt (cbrt (pow (/ y (+ y 1.0)) 3))) (expm1 (pow (/ y (+ y 1.0)) 3)) (log1p (pow (/ y (+ y 1.0)) 3)) (* (- (log y) (log (+ y 1.0))) 3) (* (log (/ y (+ y 1.0))) 3) (* (log (/ y (+ y 1.0))) 3) (* 1 3) (pow (/ y (+ y 1.0)) (* (cbrt 3) (cbrt 3))) (pow (/ y (+ y 1.0)) (sqrt 3)) (pow (/ y (+ y 1.0)) 1) (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3) (pow (cbrt (/ y (+ y 1.0))) 3) (pow (sqrt (/ y (+ y 1.0))) 3) (pow (sqrt (/ y (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ (cbrt y) (cbrt (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3) (pow (/ (cbrt y) (sqrt (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) 1) 3) (pow (/ (cbrt y) (+ y 1.0)) 3) (pow (/ (* (cbrt y) (cbrt y)) 1) 3) (pow (/ (cbrt y) (+ y 1.0)) 3) (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ (sqrt y) (cbrt (+ y 1.0))) 3) (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3) (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3) (pow (/ (sqrt y) 1) 3) (pow (/ (sqrt y) (+ y 1.0)) 3) (pow (/ (sqrt y) 1) 3) (pow (/ (sqrt y) (+ y 1.0)) 3) (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ y (cbrt (+ y 1.0))) 3) (pow (/ 1 (sqrt (+ y 1.0))) 3) (pow (/ y (sqrt (+ y 1.0))) 3) (pow (/ 1 1) 3) (pow (/ y (+ y 1.0)) 3) (pow (/ 1 1) 3) (pow (/ y (+ y 1.0)) 3) (pow 1 3) (pow (/ y (+ y 1.0)) 3) (pow y 3) (pow (/ 1 (+ y 1.0)) 3) (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3) (pow (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) 3) (pow (/ y (- (* y y) (* 1.0 1.0))) 3) (pow (- y 1.0) 3) (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (log (pow (/ y (+ y 1.0)) 3)) (exp (pow (/ y (+ y 1.0)) 3)) (* (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (pow (/ y (+ y 1.0)) 3)) (* (* (pow (/ y (+ y 1.0)) 3) (pow (/ y (+ y 1.0)) 3)) (pow (/ y (+ y 1.0)) 3)) (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3) (pow (cbrt (/ y (+ y 1.0))) 3) (pow (sqrt (/ y (+ y 1.0))) 3) (pow (sqrt (/ y (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ (cbrt y) (cbrt (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3) (pow (/ (cbrt y) (sqrt (+ y 1.0))) 3) (pow (/ (* (cbrt y) (cbrt y)) 1) 3) (pow (/ (cbrt y) (+ y 1.0)) 3) (pow (/ (* (cbrt y) (cbrt y)) 1) 3) (pow (/ (cbrt y) (+ y 1.0)) 3) (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ (sqrt y) (cbrt (+ y 1.0))) 3) (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3) (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3) (pow (/ (sqrt y) 1) 3) (pow (/ (sqrt y) (+ y 1.0)) 3) (pow (/ (sqrt y) 1) 3) (pow (/ (sqrt y) (+ y 1.0)) 3) (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3) (pow (/ y (cbrt (+ y 1.0))) 3) (pow (/ 1 (sqrt (+ y 1.0))) 3) (pow (/ y (sqrt (+ y 1.0))) 3) (pow (/ 1 1) 3) (pow (/ y (+ y 1.0)) 3) (pow (/ 1 1) 3) (pow (/ y (+ y 1.0)) 3) (pow 1 3) (pow (/ y (+ y 1.0)) 3) (pow y 3) (pow (/ 1 (+ y 1.0)) 3) (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3) (pow (+ (* y y) (- (* 1.0 1.0) (* y 1.0))) 3) (pow (/ y (- (* y y) (* 1.0 1.0))) 3) (pow (- y 1.0) 3) (pow y 3) (pow (+ y 1.0) 3) (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (sqrt (pow (/ y (+ y 1.0)) 3)) (sqrt (pow (/ y (+ y 1.0)) 3)) (pow (/ y (+ y 1.0)) (/ 3 2)) (pow (/ y (+ y 1.0)) (/ 3 2)) (expm1 (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (log1p (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (* x (cbrt (pow (/ y (+ y 1.0)) 3))) (+ (log x) (log (cbrt (pow (/ y (+ y 1.0)) 3)))) (log (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (exp (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (* (* (* x x) x) (pow (/ y (+ y 1.0)) 3)) (* (cbrt (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (cbrt (* x (cbrt (pow (/ y (+ y 1.0)) 3))))) (cbrt (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (* (* (* x (cbrt (pow (/ y (+ y 1.0)) 3))) (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (sqrt (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (sqrt (* x (cbrt (pow (/ y (+ y 1.0)) 3)))) (* (sqrt x) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* (sqrt x) (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* (sqrt x) (cbrt (sqrt (pow (/ y (+ y 1.0)) 3)))) (* (sqrt x) (cbrt (sqrt (pow (/ y (+ y 1.0)) 3)))) (* (sqrt x) (cbrt (pow (/ y (+ y 1.0)) (/ 3 2)))) (* (sqrt x) (cbrt (pow (/ y (+ y 1.0)) (/ 3 2)))) (* (sqrt x) (sqrt (cbrt (pow (/ y (+ y 1.0)) 3)))) (* (sqrt x) (sqrt (cbrt (pow (/ y (+ y 1.0)) 3)))) (* x (cbrt (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3))) (* x (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3))) (* x (cbrt (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ (sqrt y) 1) 3))) (* x (cbrt (pow (/ (sqrt y) 1) 3))) (* x (cbrt (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ 1 (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ 1 1) 3))) (* x (cbrt (pow (/ 1 1) 3))) (* x (cbrt (pow 1 3))) (* x (cbrt (pow y 3))) (* x (cbrt (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3))) (* x (cbrt (pow (/ y (- (* y y) (* 1.0 1.0))) 3))) (* x (cbrt (* (/ y (+ y 1.0)) (/ y (+ y 1.0))))) (* x (cbrt (* (cbrt (pow (/ y (+ y 1.0)) 3)) (cbrt (pow (/ y (+ y 1.0)) 3))))) (* x (cbrt (pow (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) 3))) (* x (cbrt (pow (sqrt (/ y (+ y 1.0))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3))) (* x (cbrt (pow (/ (* (cbrt y) (cbrt y)) 1) 3))) (* x (cbrt (pow (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ (sqrt y) (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ (sqrt y) 1) 3))) (* x (cbrt (pow (/ (sqrt y) 1) 3))) (* x (cbrt (pow (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) 3))) (* x (cbrt (pow (/ 1 (sqrt (+ y 1.0))) 3))) (* x (cbrt (pow (/ 1 1) 3))) (* x (cbrt (pow (/ 1 1) 3))) (* x (cbrt (pow 1 3))) (* x (cbrt (pow y 3))) (* x (cbrt (pow (/ y (+ (pow y 3) (pow 1.0 3))) 3))) (* x (cbrt (pow (/ y (- (* y y) (* 1.0 1.0))) 3))) (* x (cbrt (/ y (+ y 1.0)))) (* x (cbrt (sqrt (pow (/ y (+ y 1.0)) 3)))) (* x (cbrt 1)) (* x (cbrt (pow (/ y (+ y 1.0)) (/ 3 2)))) (* x (* (cbrt (cbrt (pow (/ y (+ y 1.0)) 3))) (cbrt (cbrt (pow (/ y (+ y 1.0)) 3))))) (* x (sqrt (cbrt (pow (/ y (+ y 1.0)) 3)))) (* x 1) (* (cbrt x) (cbrt (pow (/ y (+ y 1.0)) 3))) (* (sqrt x) (cbrt (pow (/ y (+ y 1.0)) 3))) (* x (cbrt (pow (/ y (+ y 1.0)) 3))) (* x (cbrt (pow y 3))) (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)))) 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(- (+ (* 1.0 (pow y 3)) (* 6.0 (pow y 5))) (* 3.0 (pow y 4))) (- (+ (* 6.0 (/ 1 (pow y 2))) 1) (* 3.0 (/ 1 y))) (- (+ (* 6.0 (/ 1 (pow y 2))) 1) (* 3.0 (/ 1 y))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (* 1.0 (/ (* (cbrt -1) x) y)) (+ (* 1.0 (/ (* (cbrt -1) x) (pow y 2))) (* (cbrt -1) x))) (- (+ (* 1.0 (pow y 3)) (* 1.0 y)) (* 1.0 (pow y 2))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) 1.151 * * [simplify]: iteration 0 : 655 enodes (cost 1281 ) 1.166 * * [simplify]: iteration 1 : 3088 enodes (cost 1165 ) 1.226 * * [simplify]: iteration 2 : 5001 enodes (cost 1145 ) 1.234 * [simplify]: Simplified to: (expm1 (/ y (+ y 1.0))) (log1p (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (cbrt (* (/ y (+ y 1.0)) (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (cbrt (* (/ y (+ y 1.0)) (/ y (+ y 1.0)))) (cbrt 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(cbrt -1) (pow y 2))))) (fma (pow y 3) 1.0 (- (* 6.0 (pow y 5)) (* 3.0 (pow y 4)))) (fma 6.0 (/ 1 (pow y 2)) (- 1 (* 3.0 (/ 1 y)))) (fma 6.0 (/ 1 (pow y 2)) (- 1 (* 3.0 (/ 1 y)))) (* 1.0 (- (fma y x (* x (pow y 3))) (* x (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (/ (* (cbrt -1) x) y) (- (fma 1.0 (/ (* (cbrt -1) x) (pow y 2)) (* (cbrt -1) x)))) (* 1.0 (- (+ (pow y 3) y) (pow y 2))) (fma 1.0 (/ 1 (pow y 2)) (- 1 (* 1.0 (/ 1 y)))) (fma 1.0 (/ 1 (pow y 2)) (- 1 (* 1.0 (/ 1 y)))) 1.235 * * * [progress]: adding candidates to table 1.573 * [progress]: [Phase 3 of 3] Extracting. 1.573 * * [regime]: Finding splitpoints for: (# # #) 1.573 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.573 * * * * [regimes]: Trying to branch on y from (# # #) 1.592 * * * * [regimes]: Trying to branch on x from (# # #) 1.606 * * * [regime]: Found split indices: #