4.581 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.011 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ x y)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.052 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1 in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.065 * * * [progress]: simplifying candidates 0.065 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- 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 0.069 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.071 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.077 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.096 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.144 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.145 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- 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 0.146 * * * [progress]: adding candidates to table 0.205 * * [progress]: iteration 2 / 4 0.205 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.223 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.236 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (+ x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (+ x y) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.248 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.257 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.261 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.262 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.274 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.274 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.274 * [taylor]: Taking taylor expansion of (+ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.274 * [taylor]: Taking taylor expansion of (+ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) 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 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 1 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * * * [progress]: simplifying candidates 0.299 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 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 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ 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) 0.305 * * [simplify]: iteration 0 : 352 enodes (cost 814 ) 0.311 * * [simplify]: iteration 1 : 1552 enodes (cost 715 ) 0.333 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.336 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 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 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ 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 (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 (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ 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 (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 (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ 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 (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)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (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)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.337 * * * [progress]: adding candidates to table 0.475 * * [progress]: iteration 3 / 4 0.475 * * * [progress]: picking best candidate 0.479 * * * * [pick]: Picked # 0.479 * * * [progress]: localizing error 0.484 * * * [progress]: generating rewritten candidates 0.484 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.498 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.510 * * * [progress]: generating series expansions 0.510 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.510 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.510 * [taylor]: Taking taylor expansion of (/ y x) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of 1 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.510 * [taylor]: Taking taylor expansion of (/ y x) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of 1 in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.511 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.511 * [taylor]: Taking taylor expansion of (/ y x) in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of 1 in y 0.512 * [taylor]: Taking taylor expansion of 1 in x 0.512 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.521 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.521 * [taylor]: Taking taylor expansion of (/ x y) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of y in x 0.521 * [taylor]: Taking taylor expansion of 1 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.521 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.521 * [taylor]: Taking taylor expansion of (/ x y) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.521 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.521 * [taylor]: Taking taylor expansion of (/ x y) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.533 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.534 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.534 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.534 * [taylor]: Taking taylor expansion of (/ x y) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of 1 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.534 * [taylor]: Taking taylor expansion of (/ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 1 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.534 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.534 * [taylor]: Taking taylor expansion of (/ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 1 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.536 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.546 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.547 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.547 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.547 * [taylor]: Taking taylor expansion of (/ y x) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.547 * [taylor]: Taking taylor expansion of (/ y x) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.547 * [taylor]: Taking taylor expansion of (/ y x) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of 1 in y 0.547 * [taylor]: Taking taylor expansion of 1 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.550 * [taylor]: Taking taylor expansion of (/ x y) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of 1 in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.550 * [taylor]: Taking taylor expansion of (/ x y) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1 in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.550 * [taylor]: Taking taylor expansion of (/ x y) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1 in y 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 1 in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.553 * [taylor]: Taking taylor expansion of 0 in x 0.553 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.553 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.553 * [taylor]: Taking taylor expansion of (/ x y) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [taylor]: Taking taylor expansion of 1 in x 0.554 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.554 * [taylor]: Taking taylor expansion of (/ x y) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 1 in y 0.554 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.554 * [taylor]: Taking taylor expansion of (/ x y) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 1 in y 0.554 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of 1 in x 0.556 * [taylor]: Taking taylor expansion of 0 in x 0.557 * [taylor]: Taking taylor expansion of 0 in x 0.557 * * * [progress]: simplifying candidates 0.558 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.562 * * [simplify]: iteration 0 : 153 enodes (cost 274 ) 0.566 * * [simplify]: iteration 1 : 738 enodes (cost 223 ) 0.573 * * [simplify]: iteration 2 : 1635 enodes (cost 223 ) 0.594 * * [simplify]: iteration 3 : 4533 enodes (cost 222 ) 0.721 * * [simplify]: iteration 4 : 5001 enodes (cost 222 ) 0.722 * [simplify]: Simplified to: (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (exp (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ y x) 1)) 3) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (log1p (/ y x)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (fma (/ y x) (- (/ y x) 1) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.722 * * * [progress]: adding candidates to table 0.825 * * [progress]: iteration 4 / 4 0.825 * * * [progress]: picking best candidate 0.828 * * * * [pick]: Picked # 0.828 * * * [progress]: localizing error 0.835 * * * [progress]: generating rewritten candidates 0.835 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.837 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.838 * * * [progress]: generating series expansions 0.838 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.838 * [approximate]: Taking taylor expansion of (/ 1 (fma y (/ 1 x) 1)) in (y x) around 0 0.838 * [taylor]: Taking taylor expansion of (/ 1 (fma y (/ 1 x) 1)) in x 0.838 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in x 0.839 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.839 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of 1 in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (fma y (/ 1 x) 1)) in y 0.839 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in y 0.839 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.839 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 (fma y (/ 1 x) 1)) in y 0.840 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in y 0.840 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.840 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [taylor]: Taking taylor expansion of 1 in x 0.841 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.847 * [approximate]: Taking taylor expansion of (/ 1 (fma (/ 1 y) x 1)) in (y x) around 0 0.848 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ 1 y) x 1)) in x 0.848 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in x 0.848 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of 1 in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ 1 y) x 1)) in y 0.848 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in y 0.848 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in y 0.848 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ 1 y) x 1)) in y 0.849 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in y 0.849 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.851 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.851 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.855 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.861 * [approximate]: Taking taylor expansion of (/ 1 (fma (/ -1 y) (* -1 x) 1)) in (y x) around 0 0.861 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ -1 y) (* -1 x) 1)) in x 0.861 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in x 0.862 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.862 * [taylor]: Taking taylor expansion of -1 in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.862 * [taylor]: Taking taylor expansion of -1 in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of 1 in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ -1 y) (* -1 x) 1)) in y 0.862 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in y 0.863 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in y 0.863 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.863 * [taylor]: Taking taylor expansion of -1 in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of (* -1 x) in y 0.863 * [taylor]: Taking taylor expansion of -1 in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of 1 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (fma (/ -1 y) (* -1 x) 1)) in y 0.863 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in y 0.863 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in y 0.863 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.863 * [taylor]: Taking taylor expansion of -1 in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (* -1 x) in y 0.864 * [taylor]: Taking taylor expansion of -1 in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of 1 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.870 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.877 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.877 * [approximate]: Taking taylor expansion of (fma y (/ 1 x) 1) in (y x) around 0 0.877 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in x 0.877 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.877 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of 1 in x 0.877 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in y 0.877 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.877 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of 1 in y 0.878 * [taylor]: Taking taylor expansion of (fma y (/ 1 x) 1) in y 0.878 * [taylor]: Rewrote expression to (+ (* y (/ 1 x)) 1) 0.878 * [taylor]: Taking taylor expansion of (* y (/ 1 x)) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of 1 in y 0.878 * [taylor]: Taking taylor expansion of 1 in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of 0 in x 0.881 * [taylor]: Taking taylor expansion of 0 in x 0.883 * [taylor]: Taking taylor expansion of 0 in x 0.883 * [approximate]: Taking taylor expansion of (fma (/ 1 y) x 1) in (y x) around 0 0.883 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in x 0.883 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of 1 in x 0.883 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in y 0.883 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.883 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of 1 in y 0.884 * [taylor]: Taking taylor expansion of (fma (/ 1 y) x 1) in y 0.884 * [taylor]: Rewrote expression to (+ (* (/ 1 y) x) 1) 0.884 * [taylor]: Taking taylor expansion of (* (/ 1 y) x) in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of 1 in y 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of 1 in x 0.886 * [taylor]: Taking taylor expansion of 0 in x 0.888 * [taylor]: Taking taylor expansion of 0 in x 0.888 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in (y x) around 0 0.888 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in x 0.888 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.888 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of 1 in x 0.888 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in y 0.888 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.888 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in y 0.888 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.888 * [taylor]: Taking taylor expansion of -1 in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (* -1 x) in y 0.889 * [taylor]: Taking taylor expansion of -1 in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (* -1 x) 1) in y 0.889 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (* -1 x)) 1) 0.889 * [taylor]: Taking taylor expansion of (* (/ -1 y) (* -1 x)) in y 0.889 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.889 * [taylor]: Taking taylor expansion of -1 in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of (* -1 x) in y 0.889 * [taylor]: Taking taylor expansion of -1 in y 0.889 * [taylor]: Taking taylor expansion of x in y 0.889 * [taylor]: Taking taylor expansion of 1 in y 0.889 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of 1 in x 0.892 * [taylor]: Taking taylor expansion of 0 in x 0.895 * [taylor]: Taking taylor expansion of 0 in x 0.895 * * * [progress]: simplifying candidates 0.895 * [simplify]: Simplifying using # : (expm1 (/ 1 (fma y (/ 1 x) 1))) (log1p (/ 1 (fma y (/ 1 x) 1))) (- 1) (- (log (fma y (/ 1 x) 1))) (- 0 (log (fma y (/ 1 x) 1))) (- (log 1) (log (fma y (/ 1 x) 1))) (log (/ 1 (fma y (/ 1 x) 1))) (exp (/ 1 (fma y (/ 1 x) 1))) (/ (* (* 1 1) 1) (* (* (fma y (/ 1 x) 1) (fma y (/ 1 x) 1)) (fma y (/ 1 x) 1))) (* (cbrt (/ 1 (fma y (/ 1 x) 1))) (cbrt (/ 1 (fma y (/ 1 x) 1)))) (cbrt (/ 1 (fma y (/ 1 x) 1))) (* (* (/ 1 (fma y (/ 1 x) 1)) (/ 1 (fma y (/ 1 x) 1))) (/ 1 (fma y (/ 1 x) 1))) (sqrt (/ 1 (fma y (/ 1 x) 1))) (sqrt (/ 1 (fma y (/ 1 x) 1))) (- 1) (- (fma y (/ 1 x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ (cbrt 1) (cbrt (fma y (/ 1 x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (fma y (/ 1 x) 1))) (/ (cbrt 1) (sqrt (fma y (/ 1 x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (fma y (/ 1 x) 1)) (/ (sqrt 1) (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ (sqrt 1) (cbrt (fma y (/ 1 x) 1))) (/ (sqrt 1) (sqrt (fma y (/ 1 x) 1))) (/ (sqrt 1) (sqrt (fma y (/ 1 x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (fma y (/ 1 x) 1)) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (cbrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 1) (/ 1 (fma y (/ 1 x) 1)) (/ 1 (fma y (/ 1 x) 1)) (/ (fma y (/ 1 x) 1) 1) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 1) (/ (fma y (/ 1 x) 1) (cbrt 1)) (/ (fma y (/ 1 x) 1) (sqrt 1)) (/ (fma y (/ 1 x) 1) 1) (expm1 (fma y (/ 1 x) 1)) (log1p (fma y (/ 1 x) 1)) (* y (/ 1 x)) (log (fma y (/ 1 x) 1)) (exp (fma y (/ 1 x) 1)) (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1))) (cbrt (fma y (/ 1 x) 1)) (* (* (fma y (/ 1 x) 1) (fma y (/ 1 x) 1)) (fma y (/ 1 x) 1)) (sqrt (fma y (/ 1 x) 1)) (sqrt (fma y (/ 1 x) 1)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.899 * * [simplify]: iteration 0 : 92 enodes (cost 232 ) 0.901 * * [simplify]: iteration 1 : 256 enodes (cost 206 ) 0.905 * * [simplify]: iteration 2 : 616 enodes (cost 191 ) 0.913 * * [simplify]: iteration 3 : 1572 enodes (cost 191 ) 0.938 * * [simplify]: iteration 4 : 5001 enodes (cost 191 ) 0.939 * [simplify]: Simplified to: (expm1 (/ 1 (fma y (/ 1 x) 1))) (log1p (/ 1 (fma y (/ 1 x) 1))) (- 1) (log (/ 1 (fma y (/ 1 x) 1))) (log (/ 1 (fma y (/ 1 x) 1))) (log (/ 1 (fma y (/ 1 x) 1))) (log (/ 1 (fma y (/ 1 x) 1))) (exp (/ 1 (fma y (/ 1 x) 1))) (/ 1 (pow (fma y (/ 1 x) 1) 3)) (* (cbrt (/ 1 (fma y (/ 1 x) 1))) (cbrt (/ 1 (fma y (/ 1 x) 1)))) (cbrt (/ 1 (fma y (/ 1 x) 1))) (/ 1 (pow (fma y (/ 1 x) 1) 3)) (sqrt (/ 1 (fma y (/ 1 x) 1))) (sqrt (/ 1 (fma y (/ 1 x) 1))) (- 1) (- (fma y (/ 1 x) 1)) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (cbrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) 1 (/ 1 (fma y (/ 1 x) 1)) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (cbrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) 1 (/ 1 (fma y (/ 1 x) 1)) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (cbrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) (/ 1 (sqrt (fma y (/ 1 x) 1))) 1 (/ 1 (fma y (/ 1 x) 1)) (/ 1 (fma y (/ 1 x) 1)) (fma y (/ 1 x) 1) (/ 1 (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1)))) (/ 1 (sqrt (fma y (/ 1 x) 1))) 1 (fma y (/ 1 x) 1) (fma y (/ 1 x) 1) (fma y (/ 1 x) 1) (expm1 (fma y (/ 1 x) 1)) (log1p (fma y (/ 1 x) 1)) (/ y x) (log1p (/ y x)) (exp (fma y (/ 1 x) 1)) (* (cbrt (fma y (/ 1 x) 1)) (cbrt (fma y (/ 1 x) 1))) (cbrt (fma y (/ 1 x) 1)) (pow (fma y (/ 1 x) 1) 3) (sqrt (fma y (/ 1 x) 1)) (sqrt (fma y (/ 1 x) 1)) 0 0 0 (fma y (/ 1 x) 1) (fma y (/ 1 x) 1) (fma y (/ 1 x) 1) 0.940 * * * [progress]: adding candidates to table 1.012 * [progress]: [Phase 3 of 3] Extracting. 1.012 * * [regime]: Finding splitpoints for: (# # #) 1.013 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.013 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.024 * * * * [regimes]: Trying to branch on y from (# # #) 1.039 * * * * [regimes]: Trying to branch on x from (# # #) 1.053 * * * [regime]: Found split indices: #