6.737 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.017 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 74 enodes (cost 3 ) 0.022 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 123 enodes (cost 3 ) 0.026 * * [simplify]: iteration 5 : 127 enodes (cost 3 ) 0.028 * * [simplify]: iteration 6 : 127 enodes (cost 3 ) 0.028 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.034 * * * [progress]: generating rewritten candidates 0.034 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.051 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.051 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* x y) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.051 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* x y) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.053 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (* x y) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 1.0 in y 0.084 * [taylor]: Taking taylor expansion of (* x y) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (* x y) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* x y) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 1.0 in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.098 * * * [progress]: simplifying candidates 0.099 * [simplify]: Simplifying using # : (expm1 (* (* x y) (- 1.0 y))) (log1p (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (+ (+ (log x) (log y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (* (* (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (* x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (* x y) (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* (* x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (* x y) (fma 1 1.0 (- (* y 1)))) (* (* x y) (fma (- y) 1 (* y 1))) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (* x y)) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) (* x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (* x y)) (* (fma 1 1.0 (- (* y 1))) (* x y)) (* (fma (- y) 1 (* y 1)) (* x y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* 1.0 (* x y)) (* (- y) (* x y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* x y) 1) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* (* x y) 1) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.104 * * [simplify]: iteration 0 : 292 enodes (cost 436 ) 0.110 * * [simplify]: iteration 1 : 1402 enodes (cost 284 ) 0.141 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.142 * [simplify]: Simplified to: (expm1 (* (* x y) (- 1.0 y))) (log1p (* (* x y) (- 1.0 y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (log (* (* x y) (- 1.0 y))) (exp (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y)))) (cbrt (* (* x y) (- 1.0 y))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (* (* x y) (- 1.0 y))) (sqrt (* (* x y) (- 1.0 y))) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) (- 1.0 y)) (* (* (fma (- y) 1 y) y) x) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) 1.0) (* (* x y) (- y)) (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* x y) (* (* x y) (+ (sqrt 1.0) (sqrt y))) (* x y) (* y (- 1.0 y)) (* (* x y) (- (pow 1.0 3) (pow y 3))) (* (* x y) (- (* 1.0 1.0) (* y y))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) 0.143 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.190 * * * [progress]: picking best candidate 0.202 * * * * [pick]: Picked # 0.202 * * * [progress]: localizing error 0.208 * * * [progress]: generating rewritten candidates 0.208 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.225 * * * [progress]: generating series expansions 0.225 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.225 * [approximate]: Taking taylor expansion of (* -1 (* x (pow y 2))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of -1 in y 0.225 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.232 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.232 * [taylor]: Taking taylor expansion of -1 in y 0.232 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.233 * [taylor]: Taking taylor expansion of -1 in x 0.233 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.246 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.261 * [approximate]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [taylor]: Taking taylor expansion of (* x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (* x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (* x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.263 * [taylor]: Taking taylor expansion of 1.0 in y 0.263 * [taylor]: Taking taylor expansion of y 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 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.278 * [taylor]: Taking taylor expansion of 1.0 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.278 * [taylor]: Taking taylor expansion of (* x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.278 * [taylor]: Taking taylor expansion of 1.0 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.278 * [taylor]: Taking taylor expansion of (* x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.279 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.280 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of 1.0 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 (pow y 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.307 * [taylor]: Taking taylor expansion of 1.0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.307 * [taylor]: Taking taylor expansion of (* x y) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.309 * [taylor]: Taking taylor expansion of (* x y) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.310 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.337 * * * [progress]: simplifying candidates 0.338 * [simplify]: Simplifying using # : (expm1 (* (* x y) (- y))) (log1p (* (* x y) (- y))) (* (* x y) (- y)) (* (* x y) (- y)) (+ (+ (log x) (log y)) (log (- y))) (+ (log (* x y)) (log (- y))) (log (* (* x y) (- y))) (exp (* (* x y) (- y))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (- y) (- y)) (- y))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (- y) (- y)) (- y))) (* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y)))) (cbrt (* (* x y) (- y))) (* (* (* (* x y) (- y)) (* (* x y) (- y))) (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (* (* x y) y) (* (* x y) (* (cbrt (- y)) (cbrt (- y)))) (* (* x y) (sqrt (- y))) (* (* x y) 1) (* (* x y) -1) (* (* x y) (- (* (cbrt y) (cbrt y)))) (* (* x y) (- (sqrt y))) (* (* x y) (- 1)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y (- y)) (expm1 (+ (* (* x y) 1.0) (* (* x y) (- y)))) (log1p (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (exp (* (* x y) 1.0)) (exp (* (* x y) (- y)))) (log (+ (* (* x y) 1.0) (* (* x y) (- y)))) (exp (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (* (+ (* (* x y) 1.0) (* (* x y) (- y))) (+ (* (* x y) 1.0) (* (* x y) (- y)))) (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (+ (pow (* (* x y) 1.0) 3) (pow (* (* x y) (- y)) 3)) (+ (* (* (* x y) 1.0) (* (* x y) 1.0)) (- (* (* (* x y) (- y)) (* (* x y) (- y))) (* (* (* x y) 1.0) (* (* x y) (- y))))) (- (* (* (* x y) 1.0) (* (* x y) 1.0)) (* (* (* x y) (- y)) (* (* x y) (- y)))) (- (* (* x y) 1.0) (* (* x y) (- y))) (+ 1.0 (- y)) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.342 * * [simplify]: iteration 0 : 252 enodes (cost 263 ) 0.348 * * [simplify]: iteration 1 : 1522 enodes (cost 222 ) 0.395 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.396 * [simplify]: Simplified to: (expm1 (* (* x y) (- y))) (log1p (* (* x y) (- y))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (log (* (* x y) (- y))) (log (* (* x y) (- y))) (log (* (* x y) (- y))) (exp (* (* x y) (- y))) (pow (* (* x y) (- y)) 3) (pow (* (* x y) (- y)) 3) (* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y)))) (cbrt (* (* x y) (- y))) (pow (* (* x y) (- y)) 3) (sqrt (* (* x y) (- y))) (sqrt (* (* x y) (- y))) (* (* x y) y) (* (* x y) (* (cbrt (- y)) (cbrt (- y)))) (* (* x y) (sqrt (- y))) (* x y) (- (* x y)) (* (* x y) (- (* (cbrt y) (cbrt y)))) (* (* x y) (- (sqrt y))) (- (* x y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* x y) (* y (- y)) (expm1 (+ (* (* x y) 1.0) (* (* x y) (- y)))) (log1p (+ (* (* x y) 1.0) (* (* x y) (- y)))) (pow (exp (* x y)) (- 1.0 y)) (+ (log (* x y)) (log (- 1.0 y))) (pow (exp (* x y)) (- 1.0 y)) (* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (sqrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (* (pow (* x y) 3) (+ (pow (- y) 3) (pow 1.0 3))) (fma (* (* x y) (* x y)) (+ (* 1.0 1.0) (pow y 2)) (* (* (* x y) y) (* (* x y) 1.0))) (* (* (* x y) (* x y)) (- (* 1.0 1.0) (pow y 2))) (* (* x y) (+ 1.0 y)) (- 1.0 y) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* -1 (* x (pow y 2))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) 0.396 * * * [progress]: adding candidates to table 0.489 * * [progress]: iteration 3 / 4 0.489 * * * [progress]: picking best candidate 0.501 * * * * [pick]: Picked # 0.501 * * * [progress]: localizing error 0.516 * * * [progress]: generating rewritten candidates 0.516 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.547 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.577 * * * [progress]: generating series expansions 0.577 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.578 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (y x) around 0 0.578 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.578 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* x y) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.578 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.578 * [taylor]: Taking taylor expansion of 1.0 in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* x y) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.578 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.579 * [taylor]: Taking taylor expansion of 1.0 in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (* x y) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of 0 in x 0.581 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.582 * [taylor]: Taking taylor expansion of (- x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of 0 in x 0.588 * [taylor]: Taking taylor expansion of 0 in x 0.590 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (y x) around 0 0.590 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (* x y) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.591 * [taylor]: Taking taylor expansion of 1.0 in y 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [taylor]: Taking taylor expansion of (* x y) in y 0.591 * [taylor]: Taking taylor expansion of x in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.592 * [taylor]: Taking taylor expansion of 1.0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (* x y) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.603 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (y x) around 0 0.604 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (* x y) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of 1.0 in y 0.604 * [taylor]: Taking taylor expansion of (* x y) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of 1.0 in y 0.605 * [taylor]: Taking taylor expansion of (* x y) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.615 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.616 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (y x) around 0 0.616 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.616 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.616 * [taylor]: Taking taylor expansion of 1.0 in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.616 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.616 * [taylor]: Taking taylor expansion of 1.0 in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (- x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 0 in x 0.622 * [taylor]: Taking taylor expansion of 0 in x 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.625 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (y x) around 0 0.625 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.626 * [taylor]: Taking taylor expansion of 1.0 in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.627 * [taylor]: Taking taylor expansion of 1.0 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.628 * [taylor]: Taking taylor expansion of -1 in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.633 * [taylor]: Taking taylor expansion of 0 in x 0.636 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in (y x) around 0 0.636 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.636 * [taylor]: Taking taylor expansion of -1 in x 0.636 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.637 * [taylor]: Taking taylor expansion of -1 in y 0.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of 1.0 in y 0.637 * [taylor]: Taking taylor expansion of x in y 0.637 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.637 * [taylor]: Taking taylor expansion of -1 in y 0.637 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of 1.0 in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.638 * [taylor]: Taking taylor expansion of -1 in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of 0 in x 0.645 * [taylor]: Taking taylor expansion of 0 in x 0.648 * * * [progress]: simplifying candidates 0.649 * [simplify]: Simplifying using # : (expm1 (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (log1p (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (+ (+ (log (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (log x)) (log y)) (+ (log (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (log y)) (log (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (exp (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (* x x) x)) (* (* y y) y)) (* (* (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (* y y) y)) (* (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y))) (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (sqrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (sqrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (* (cbrt y) (cbrt y))) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (sqrt y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) 1) (* x y) (* (* (+ (pow (* 1 (pow (cbrt 1.0) 3)) 3) (pow (- y) 3)) x) y) (* (* (- (* (* 1 (pow (cbrt 1.0) 3)) (* 1 (pow (cbrt 1.0) 3))) (* (- y) (- y))) x) y) (expm1 (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (log1p (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (+ (log (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (log x)) (log (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (exp (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (* (* x x) x)) (* (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x))) (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (sqrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (sqrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (sqrt x)) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (sqrt x)) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) (* (cbrt x) (cbrt x))) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) (sqrt x)) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) (* (cbrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x) (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) (* (+ (pow (cbrt 1.0) 3) (- y)) x) (* (+ (pow (cbrt 1.0) 3) (- y)) x) (* (+ (pow (* 1 (pow (cbrt 1.0) 3)) 3) (pow (- y) 3)) x) (* (- (* (* 1 (pow (cbrt 1.0) 3)) (* 1 (pow (cbrt 1.0) 3))) (* (- y) (- y))) x) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.653 * * [simplify]: iteration 0 : 224 enodes (cost 382 ) 0.658 * * [simplify]: iteration 1 : 1118 enodes (cost 262 ) 0.688 * * [simplify]: iteration 2 : 5001 enodes (cost 252 ) 0.690 * [simplify]: Simplified to: (expm1 (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (log1p (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* y (* x (- 1.0 y))) (* y (* x (- 1.0 y))) (+ (log (* x (- 1.0 y))) (log y)) (+ (log (* x (- 1.0 y))) (log y)) (+ (log (* x (- 1.0 y))) (log y)) (pow (exp (* x (- 1.0 y))) y) (pow (* y (* x (- 1.0 y))) 3) (pow (* y (* x (- 1.0 y))) 3) (* (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y))) (cbrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (pow (* y (* x (- 1.0 y))) 3) (sqrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (sqrt (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)) (* (* (cbrt y) (cbrt y)) (* x (- 1.0 y))) (* (sqrt y) (* x (- 1.0 y))) (* x (- 1.0 y)) (* x y) (* (* (- (pow 1.0 3) (pow y 3)) y) x) (* (* (fma 1.0 1.0 (- (pow y 2))) y) x) (expm1 (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (log1p (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* x (- 1.0 y)) (log (* x (- 1.0 y))) (log (* x (- 1.0 y))) (pow (exp x) (- 1.0 y)) (pow (* x (- 1.0 y)) 3) (* (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x))) (cbrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (pow (* x (- 1.0 y)) 3) (sqrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (sqrt (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (sqrt x)) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) (sqrt x)) (* (* (cbrt x) (cbrt x)) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (- 1.0 y) (* (cbrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x) (* (sqrt (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) x) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (fma 1.0 1.0 (- (pow y 2)))) (* y (* x (- 1.0 y))) (* y (* x (- 1.0 y))) (* y (* x (- 1.0 y))) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) 0.690 * * * [progress]: adding candidates to table 0.826 * * [progress]: iteration 4 / 4 0.826 * * * [progress]: picking best candidate 0.836 * * * * [pick]: Picked # 0.836 * * * [progress]: localizing error 0.846 * * * [progress]: generating rewritten candidates 0.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.847 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.848 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.856 * * * [progress]: generating series expansions 0.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.856 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.856 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.856 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.856 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.856 * [taylor]: Taking taylor expansion of 1/3 in y 0.856 * [taylor]: Taking taylor expansion of (log y) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.857 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.857 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.857 * [taylor]: Taking taylor expansion of 1/3 in y 0.857 * [taylor]: Taking taylor expansion of (log y) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.910 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.910 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.910 * [taylor]: Taking taylor expansion of 1/3 in y 0.910 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.911 * [taylor]: Taking taylor expansion of 1/3 in y 0.911 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.965 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.965 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.965 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.965 * [taylor]: Taking taylor expansion of -1 in y 0.966 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.966 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.966 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.966 * [taylor]: Taking taylor expansion of 1/3 in y 0.966 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.966 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.967 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.967 * [taylor]: Taking taylor expansion of -1 in y 0.967 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.967 * [taylor]: Taking taylor expansion of 1/3 in y 0.967 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.968 * [taylor]: Taking taylor expansion of y in y 1.034 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 1.034 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.034 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.034 * [taylor]: Taking taylor expansion of 1/3 in y 1.034 * [taylor]: Taking taylor expansion of (log y) in y 1.034 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.035 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.035 * [taylor]: Taking taylor expansion of 1/3 in y 1.035 * [taylor]: Taking taylor expansion of (log y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.083 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.083 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.084 * [taylor]: Taking taylor expansion of 1/3 in y 1.084 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.085 * [taylor]: Taking taylor expansion of 1/3 in y 1.085 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.142 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.142 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.142 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.142 * [taylor]: Taking taylor expansion of -1 in y 1.143 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.143 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.143 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.143 * [taylor]: Taking taylor expansion of 1/3 in y 1.143 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.143 * [taylor]: Taking taylor expansion of y in y 1.144 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.144 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.144 * [taylor]: Taking taylor expansion of -1 in y 1.145 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.145 * [taylor]: Taking taylor expansion of 1/3 in y 1.145 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.213 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.214 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.214 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.214 * [taylor]: Taking taylor expansion of 1/3 in y 1.214 * [taylor]: Taking taylor expansion of (log y) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.214 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.214 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.214 * [taylor]: Taking taylor expansion of 1/3 in y 1.214 * [taylor]: Taking taylor expansion of (log y) in y 1.214 * [taylor]: Taking taylor expansion of y in y 1.269 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.269 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.269 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.269 * [taylor]: Taking taylor expansion of 1/3 in y 1.269 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.269 * [taylor]: Taking taylor expansion of y in y 1.270 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.270 * [taylor]: Taking taylor expansion of 1/3 in y 1.270 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.322 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.322 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.322 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.322 * [taylor]: Taking taylor expansion of -1 in y 1.322 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.323 * [taylor]: Taking taylor expansion of 1/3 in y 1.323 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.323 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.323 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.324 * [taylor]: Taking taylor expansion of -1 in y 1.324 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.324 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.324 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.324 * [taylor]: Taking taylor expansion of 1/3 in y 1.324 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.324 * [taylor]: Taking taylor expansion of y in y 1.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.393 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.393 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.393 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.393 * [taylor]: Taking taylor expansion of 1/3 in y 1.393 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.394 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.394 * [taylor]: Taking taylor expansion of 1/3 in y 1.394 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.394 * [taylor]: Taking taylor expansion of y in y 1.452 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.452 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.452 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.452 * [taylor]: Taking taylor expansion of 1/3 in y 1.452 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.452 * [taylor]: Taking taylor expansion of y in y 1.453 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.453 * [taylor]: Taking taylor expansion of 1/3 in y 1.453 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.453 * [taylor]: Taking taylor expansion of y in y 1.514 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.514 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.514 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.514 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.514 * [taylor]: Taking taylor expansion of -1 in y 1.515 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.515 * [taylor]: Taking taylor expansion of 1/3 in y 1.515 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.516 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.516 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.516 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.516 * [taylor]: Taking taylor expansion of -1 in y 1.517 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.517 * [taylor]: Taking taylor expansion of 1/3 in y 1.517 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.517 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.597 * * * [progress]: simplifying candidates 1.598 * [simplify]: Simplifying using # : (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.601 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.605 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.618 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.686 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.688 * [simplify]: Simplified to: (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (cbrt y)) (log1p (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (expm1 (* (cbrt y) (cbrt y))) (log1p (* (cbrt y) (cbrt y))) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 1.688 * * * [progress]: adding candidates to table 1.921 * [progress]: [Phase 3 of 3] Extracting. 1.921 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.924 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.924 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.955 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.984 * * * [regime]: Found split indices: #