6.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.012 * [simplify]: Sending expressions to egg_math: (/ h0 (+ h0 h1)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (+ x y) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.044 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.045 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.057 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.060 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.070 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.071 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ h0 h1))) (log (/ h0 (+ h0 h1))) (exp (/ h0 (+ h0 h1))) (/ (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h0 (+ h0 h1))) (cbrt (/ h0 (+ h0 h1)))) (cbrt (/ h0 (+ h0 h1))) (* (* (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1))) (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (sqrt (/ h0 (+ h0 h1))) (- h0) (- (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h0) (cbrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ h0 h1))) (/ (cbrt h0) (sqrt (+ h0 h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ h0 h1)) (/ (sqrt h0) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h0) (cbrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) (sqrt (+ h0 h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ (sqrt h0) 1) (/ (sqrt h0) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 1) (/ h0 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h0) (/ h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h0 (sqrt (+ h0 h1))) (/ h0 1) (/ h0 1) (/ (+ h0 h1) (cbrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) h0) (/ h0 (+ (pow h0 3) (pow h1 3))) (/ h0 (- (* h0 h0) (* h1 h1))) 0 0 0 0.080 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.083 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.089 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.110 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.160 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.162 * [simplify]: Simplified to: (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.162 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.248 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.261 * * * [progress]: generating series expansions 0.262 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.262 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (+ x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (+ x y) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (+ x y) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.276 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.276 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.277 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.278 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.289 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.289 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.291 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.301 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.302 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.302 * [taylor]: Taking taylor expansion of (+ x y) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.302 * [taylor]: Taking taylor expansion of (+ x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.302 * [taylor]: Taking taylor expansion of (+ x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.313 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of 1 in y 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.323 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.333 * * * [progress]: simplifying candidates 0.335 * [simplify]: Simplifying using # : (* x (/ 1 (+ x y))) (+ (log x) (- (log (+ x y)))) (+ (log x) (- 0 (log (+ x y)))) (+ (log x) (- (log 1) (log (+ x y)))) (+ (log x) (log (/ 1 (+ x y)))) (log (* x (/ 1 (+ x y)))) (exp (* x (/ 1 (+ x y)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* x x) x) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y)))) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (* (* (* x (/ 1 (+ x y))) (* x (/ 1 (+ x y)))) (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ (sqrt 1) (sqrt (+ x y)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* x (/ 1 (sqrt (+ x y)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow x 3) (pow y 3)))) (* x (/ 1 (- (* x x) (* y y)))) (* (cbrt x) (/ 1 (+ x y))) (* (sqrt x) (/ 1 (+ x y))) (* x (/ 1 (+ x y))) (* x 1) (- 1) (- (log (+ x y))) (- 0 (log (+ x y))) (- (log 1) (log (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ (* (* 1 1) 1) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (* (* (/ 1 (+ x y)) (/ 1 (+ x y))) (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt 1) (cbrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ x y))) (/ (cbrt 1) (sqrt (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt 1) (cbrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) (sqrt (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 (+ x y)) (/ 1 1) (/ 1 (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) (/ 1 1) (/ 1 1) (/ (+ x y) (cbrt 1)) (/ (+ x y) (sqrt 1)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.335 * [simplify]: Sending expressions to egg_math: (* h0 (/ 1 (+ h0 h1))) (+ (log h0) (- (log (+ h0 h1)))) (+ (log h0) (- 0 (log (+ h0 h1)))) (+ (log h0) (- (log 1) (log (+ h0 h1)))) (+ (log h0) (log (/ 1 (+ h0 h1)))) (log (* h0 (/ 1 (+ h0 h1)))) (exp (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 h0) h0) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)))) (* (* (* h0 h0) h0) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1)))) (* (cbrt (* h0 (/ 1 (+ h0 h1)))) (cbrt (* h0 (/ 1 (+ h0 h1))))) (cbrt (* h0 (/ 1 (+ h0 h1)))) (* (* (* h0 (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1)))) (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (sqrt (* h0 (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (sqrt (/ 1 (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ (sqrt 1) (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* (sqrt h0) (/ 1 (sqrt (+ h0 h1)))) (* h0 (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1))))) (* h0 (sqrt (/ 1 (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1)))) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h0 (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ (sqrt 1) (sqrt (+ h0 h1)))) (* h0 (/ (sqrt 1) 1)) (* h0 (/ (sqrt 1) 1)) (* h0 (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (* h0 (/ 1 (sqrt (+ h0 h1)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 1) (* h0 (/ 1 (+ (pow h0 3) (pow h1 3)))) (* h0 (/ 1 (- (* h0 h0) (* h1 h1)))) (* (cbrt h0) (/ 1 (+ h0 h1))) (* (sqrt h0) (/ 1 (+ h0 h1))) (* h0 (/ 1 (+ h0 h1))) (* h0 1) (- 1) (- (log (+ h0 h1))) (- 0 (log (+ h0 h1))) (- (log 1) (log (+ h0 h1))) (log (/ 1 (+ h0 h1))) (exp (/ 1 (+ h0 h1))) (/ (* (* 1 1) 1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ 1 (+ h0 h1))) (cbrt (/ 1 (+ h0 h1)))) (cbrt (/ 1 (+ h0 h1))) (* (* (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1))) (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (sqrt (/ 1 (+ h0 h1))) (- 1) (- (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt 1) (cbrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ h0 h1))) (/ (cbrt 1) (sqrt (+ h0 h1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ h0 h1)) (/ (sqrt 1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt 1) (cbrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) (sqrt (+ h0 h1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 1) (/ 1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) 1) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ 1 (sqrt (+ h0 h1))) (/ 1 1) (/ 1 1) (/ (+ h0 h1) (cbrt 1)) (/ (+ h0 h1) (sqrt 1)) (/ (+ h0 h1) 1) (/ 1 (+ (pow h0 3) (pow h1 3))) (/ 1 (- (* h0 h0) (* h1 h1))) 0 0 0 0 0 0 0.340 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.346 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.365 * * [simplify]: iteration 2 : 3433 enodes (cost 258 ) 0.396 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.399 * [simplify]: Simplified to: (/ x (+ x y)) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (- (log x) (log (+ x y))) (exp (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (pow (/ x (+ x y)) 3) (* (cbrt (* x (/ 1 (+ x y)))) (cbrt (* x (/ 1 (+ x y))))) (cbrt (* x (/ 1 (+ x y)))) (pow (/ x (+ x y)) 3) (sqrt (* x (/ 1 (+ x y)))) (sqrt (* x (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (* (sqrt x) (sqrt (/ 1 (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (* x (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y))))) (* x (sqrt (/ 1 (+ x y)))) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x x x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (/ (cbrt x) (+ x y)) (/ (sqrt x) (+ x y)) (/ x (+ x y)) x (- 1) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (log (/ 1 (+ x y))) (exp (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (* (cbrt (/ 1 (+ x y))) (cbrt (/ 1 (+ x y)))) (cbrt (/ 1 (+ x y))) (/ 1 (pow (+ x y) 3)) (sqrt (/ 1 (+ x y))) (sqrt (/ 1 (+ x y))) (- 1) (- (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) 1 (/ 1 (+ x y)) 1 (/ 1 (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (sqrt (+ x y))) 1 1 (+ x y) (+ x y) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 0 0 0 0.399 * * * [progress]: adding candidates to table 0.512 * * [progress]: iteration 3 / 4 0.512 * * * [progress]: picking best candidate 0.513 * * * * [pick]: Picked # 0.513 * * * [progress]: localizing error 0.519 * * * [progress]: generating rewritten candidates 0.519 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.540 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.563 * * * [progress]: generating series expansions 0.563 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.563 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.563 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of (+ x y) in y 0.563 * [taylor]: Taking taylor expansion of x in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (+ x y) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (+ x y) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.569 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.575 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.575 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.575 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.575 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.576 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.578 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.589 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.589 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.589 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.591 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 1 in y 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.601 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.601 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (/ (+ x y) x) 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 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.602 * [taylor]: Taking taylor expansion of (+ x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.602 * [taylor]: Taking taylor expansion of (+ x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of 1 in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.605 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.606 * [taylor]: Taking taylor expansion of y in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 1 in y 0.615 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.628 * * * [progress]: simplifying candidates 0.630 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 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(/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.630 * [simplify]: Sending expressions to egg_math: (- 1) (- (- (log (+ h0 h1)) (log h0))) (- (log (/ (+ h0 h1) h0))) (- 0 (- (log (+ h0 h1)) (log h0))) (- 0 (log (/ (+ h0 h1) h0))) (- (log 1) (- (log (+ h0 h1)) (log h0))) (- (log 1) (log (/ (+ h0 h1) h0))) (log (/ 1 (/ (+ h0 h1) h0))) (exp (/ 1 (/ (+ h0 h1) h0))) (/ (* (* 1 1) 1) (/ (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* h0 h0) h0))) (/ (* (* 1 1) 1) (* (* (/ (+ h0 h1) h0) (/ (+ h0 h1) h0)) (/ (+ h0 h1) h0))) (* (cbrt (/ 1 (/ (+ h0 h1) h0))) (cbrt (/ 1 (/ (+ h0 h1) h0)))) (cbrt (/ 1 (/ (+ h0 h1) h0))) (* (* (/ 1 (/ (+ h0 h1) h0)) (/ 1 (/ (+ h0 h1) h0))) (/ 1 (/ (+ h0 h1) h0))) (sqrt (/ 1 (/ (+ h0 h1) h0))) (sqrt (/ 1 (/ (+ h0 h1) h0))) (- 1) (- (/ (+ h0 h1) h0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ h0 h1) h0)) (cbrt (/ (+ h0 h1) h0)))) (/ (cbrt 1) (cbrt (/ (+ h0 h1) h0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ h0 h1) h0))) (/ (cbrt 1) (sqrt (/ (+ h0 h1) h0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt h0) (cbrt h0)))) (/ 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(/ 1 1) (/ (+ h0 h1) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 h1) (sqrt h0)) (/ 1 1) (/ (+ h0 h1) h0) (/ 1 h0) (/ h0 (+ h0 h1)) (/ (+ h0 h1) (* (cbrt h0) (cbrt h0))) (/ (+ h0 h1) (sqrt h0)) (/ (+ h0 h1) 1) (/ h0 (cbrt (+ h0 h1))) (/ h0 (sqrt (+ h0 h1))) (/ h0 (+ h0 h1)) (/ h0 (+ h0 h1)) (* h0 (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* h0 (- h0 h1)) 0 0 0 (+ (/ h1 h0) 1) (+ (/ h1 h0) 1) (+ (/ h1 h0) 1) 0.636 * * [simplify]: iteration 0 : 346 enodes (cost 800 ) 0.644 * * [simplify]: iteration 1 : 1531 enodes (cost 702 ) 0.669 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.673 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 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(+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.673 * * * [progress]: adding candidates to table 0.829 * [progress]: [Phase 3 of 3] Extracting. 0.829 * * [regime]: Finding splitpoints for: (# # #) 0.829 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 0.829 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 0.841 * * * * [regimes]: Trying to branch on y from (# # #) 0.854 * * * * [regimes]: Trying to branch on x from (# # #) 0.871 * * * [regime]: Found split indices: #