19.501 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.019 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.022 * * [simplify]: iteration 2 : 74 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 123 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 127 enodes (cost 3 ) 0.029 * * [simplify]: iteration 6 : 127 enodes (cost 3 ) 0.030 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.046 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* x y) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (* x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (* x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of 1.0 in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (* x y) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.078 * [taylor]: Taking taylor expansion of (* x y) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 1.0 in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * * * [progress]: simplifying candidates 0.092 * [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))) 0.097 * * [simplify]: iteration 0 : 292 enodes (cost 436 ) 0.103 * * [simplify]: iteration 1 : 1402 enodes (cost 284 ) 0.131 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.133 * [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)) 0.134 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.209 * * * [progress]: generating series expansions 0.209 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.210 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (y x) around 0 0.210 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.210 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.210 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.210 * [taylor]: Taking taylor expansion of 1.0 in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (* x y) in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.210 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.210 * [taylor]: Taking taylor expansion of 1.0 in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* x y) in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (- x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.222 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (y x) around 0 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (* x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.222 * [taylor]: Taking taylor expansion of 1.0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (* x y) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.223 * [taylor]: Taking taylor expansion of 1.0 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.224 * [taylor]: Taking taylor expansion of (* x y) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of 0 in x 0.232 * [taylor]: Taking taylor expansion of 0 in x 0.235 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (y x) around 0 0.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (* x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 1.0 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 (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.237 * [taylor]: Taking taylor expansion of (* x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of 0 in x 0.244 * [taylor]: Taking taylor expansion of 0 in x 0.245 * * * [progress]: simplifying candidates 0.246 * [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) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) (- (* 1.0 (* x y)) (* x (pow y 2))) 0.249 * * [simplify]: iteration 0 : 188 enodes (cost 204 ) 0.254 * * [simplify]: iteration 1 : 1005 enodes (cost 133 ) 0.278 * * [simplify]: iteration 2 : 5002 enodes (cost 126 ) 0.279 * [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 (- 1.0 y)) (* x 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) (* y (* x (- 1.0 y))) (* y (* x (- 1.0 y))) (* y (* x (- 1.0 y))) 0.279 * * * [progress]: adding candidates to table 0.331 * * [progress]: iteration 3 / 4 0.331 * * * [progress]: picking best candidate 0.337 * * * * [pick]: Picked # 0.337 * * * [progress]: localizing error 0.341 * * * [progress]: generating rewritten candidates 0.341 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.350 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.366 * * * [progress]: generating series expansions 0.366 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.366 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.366 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.366 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.366 * [taylor]: Taking taylor expansion of 1.0 in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (* x y) in y 0.366 * [taylor]: Taking taylor expansion of x in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.366 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.366 * [taylor]: Taking taylor expansion of 1.0 in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.378 * [taylor]: Taking taylor expansion of 1.0 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (* x y) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (* x y) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.379 * [taylor]: Taking taylor expansion of 1.0 in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (* x y) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of 1.0 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.394 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of (* x y) in y 0.394 * [taylor]: Taking taylor expansion of x in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of 1.0 in x 0.395 * [taylor]: Taking taylor expansion of (* x y) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of 1.0 in x 0.396 * [taylor]: Taking taylor expansion of (* x y) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 1.0 in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.408 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.408 * [approximate]: Taking taylor expansion of (* (- 1.0 y) y) in (y) around 0 0.408 * [taylor]: Taking taylor expansion of (* (- 1.0 y) y) in y 0.408 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (* (- 1.0 y) y) in y 0.408 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.420 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in (y) around 0 0.420 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.420 * [taylor]: Taking taylor expansion of 1.0 in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.438 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in (y) around 0 0.438 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in y 0.438 * [taylor]: Taking taylor expansion of -1 in y 0.438 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of 1.0 in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) y)) in y 0.439 * [taylor]: Taking taylor expansion of -1 in y 0.439 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.456 * * * [progress]: simplifying candidates 0.458 * [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) (log (* y (- 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 x) x) (* (* (* y (- 1.0 y)) (* y (- 1.0 y))) (* y (- 1.0 y)))) (* (cbrt (* x (* y (- 1.0 y)))) (cbrt (* x (* y (- 1.0 y))))) (cbrt (* x (* y (- 1.0 y)))) (* (* (* x (* y (- 1.0 y))) (* x (* y (- 1.0 y)))) (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (* x (* y (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 (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y)) (* x (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y)) (* x (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) y)) (* x (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y)) (* x (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) y)) (* x (* (fma (- y) 1 (* y 1)) y)) (* x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y)) (* x (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y)) (* x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) y)) (* x (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y)) (* x (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) y)) (* x (* (fma (- y) 1 (* y 1)) y)) (* x (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y)) (* x (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y)) (* x (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) y)) (* x (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y)) (* x (* (fma 1 1.0 (- (* y 1))) y)) (* x (* (fma (- y) 1 (* y 1)) y)) (* x (* 1.0 y)) (* x (* (- y) y)) (* x (* 1.0 y)) (* x (* (- y) 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) (* (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) x) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) x) (* (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) y) x) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) x) (* (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) y) x) (* (* (fma (- y) 1 (* y 1)) y) x) (* (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) x) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) x) (* (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) y) x) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) x) (* (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) y) x) (* (* (fma (- y) 1 (* y 1)) y) x) (* (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) x) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) x) (* (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) y) x) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) x) (* (* (fma 1 1.0 (- (* y 1))) y) x) (* (* (fma (- y) 1 (* y 1)) y) x) (* (* 1.0 y) x) (* (* (- y) y) x) (* (* 1.0 y) x) (* (* (- y) y) x) (* x y) (* (cbrt x) (* y (- 1.0 y))) (* (sqrt x) (* y (- 1.0 y))) (* x (* y (- 1.0 y))) (* x (* y (- (pow 1.0 3) (pow y 3)))) (* x (* y (- (* 1.0 1.0) (* y y)))) (expm1 (* y (- 1.0 y))) (log1p (* y (- 1.0 y))) (* y (- 1.0 y)) (+ (log y) (log (- 1.0 y))) (log (* y (- 1.0 y))) (exp (* y (- 1.0 y))) (* (* (* y y) y) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y))) (* (* (* y (- 1.0 y)) (* y (- 1.0 y))) (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* y (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* y (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* y (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y))))) (* y (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* y (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1)))) (* y (fma (- y) 1 (* y 1))) (* y (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* y (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* y (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y))))) (* y (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* y (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1)))) (* y (fma (- y) 1 (* y 1))) (* y (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* y (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* y (fma 1 1.0 (- (* (sqrt y) (sqrt y))))) (* y (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* y (fma 1 1.0 (- (* y 1)))) (* y (fma (- y) 1 (* y 1))) (* y 1.0) (* y (- y)) (* y 1.0) (* y (- y)) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt y) (sqrt y)))) y) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y 1))) y) (* (fma (- y) 1 (* y 1)) y) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt y) (sqrt y)))) y) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* y 1))) y) (* (fma (- y) 1 (* y 1)) y) (* (fma 1 1.0 (- (* (cbrt y) (* (cbrt y) (cbrt y))))) y) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) y) (* (fma 1 1.0 (- (* (sqrt y) (sqrt y)))) y) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) y) (* (fma 1 1.0 (- (* y 1))) y) (* (fma (- y) 1 (* y 1)) y) (* 1.0 y) (* (- y) y) (* 1.0 y) (* (- y) y) (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* y (sqrt (- 1.0 y))) (* y 1) (* y (+ (sqrt 1.0) (sqrt y))) (* y 1) (* (cbrt y) (- 1.0 y)) (* (sqrt y) (- 1.0 y)) (* y (- 1.0 y)) (* y (- (pow 1.0 3) (pow y 3))) (* 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))) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) (- (* 1.0 y) (pow y 2)) 0.464 * * [simplify]: iteration 0 : 396 enodes (cost 1094 ) 0.471 * * [simplify]: iteration 1 : 1575 enodes (cost 666 ) 0.499 * * [simplify]: iteration 2 : 5002 enodes (cost 648 ) 0.504 * [simplify]: Simplified to: (expm1 (* x (* y (- 1.0 y)))) (log1p (* x (* y (- 1.0 y)))) (* (- 1.0 y) (* x y)) (* (- 1.0 y) (* x y)) (log (* x (* y (- 1.0 y)))) (log (* x (* y (- 1.0 y)))) (log (* x (* y (- 1.0 y)))) (exp (* x (* y (- 1.0 y)))) (pow (* x (* y (- 1.0 y))) 3) (pow (* x (* y (- 1.0 y))) 3) (* (cbrt (* x (* y (- 1.0 y)))) (cbrt (* x (* y (- 1.0 y))))) (cbrt (* x (* y (- 1.0 y)))) (pow (* x (* y (- 1.0 y))) 3) (sqrt (* x (* y (- 1.0 y)))) (sqrt (* x (* y (- 1.0 y)))) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (* x (+ (* 1 (pow (cbrt 1.0) 3)) (- y))) y) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* (- 1.0 y) (* x y)) (* (* y (fma (- y) 1 y)) x) (* x (* y 1.0)) (* x (* (- y) y)) (* x (* y 1.0)) (* x (* (- y) y)) (* x y) (* (cbrt x) (* y (- 1.0 y))) (* (sqrt x) (* y (- 1.0 y))) (* (- 1.0 y) (* x y)) (* x (* y (- (pow 1.0 3) (pow y 3)))) (* x (* y (- (* 1.0 1.0) (* y y)))) (expm1 (* y (- 1.0 y))) (log1p (* y (- 1.0 y))) (* y (- 1.0 y)) (log (* y (- 1.0 y))) (log (* y (- 1.0 y))) (exp (* y (- 1.0 y))) (pow (* y (- 1.0 y)) 3) (* (cbrt (* y (- 1.0 y))) (cbrt (* y (- 1.0 y)))) (cbrt (* y (- 1.0 y))) (pow (* y (- 1.0 y)) 3) (sqrt (* y (- 1.0 y))) (sqrt (* y (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* (sqrt y) (sqrt (- 1.0 y))) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y 1.0) (* (- y) y) (* y 1.0) (* (- y) y) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) 1) y) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y (- 1.0 y)) (* y (fma (- y) 1 y)) (* y 1.0) (* (- y) y) (* y 1.0) (* (- y) y) (* y (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* y (sqrt (- 1.0 y))) y (* y (+ (sqrt 1.0) (sqrt y))) y (* (cbrt y) (- 1.0 y)) (* (sqrt y) (- 1.0 y)) (* y (- 1.0 y)) (* y (- (pow 1.0 3) (pow y 3))) (* y (- (* 1.0 1.0) (* y y))) (* (- 1.0 y) (* x y)) (* (- 1.0 y) (* x y)) (* (- 1.0 y) (* x y)) (* y (- 1.0 y)) (* y (- 1.0 y)) (* y (- 1.0 y)) 0.505 * * * [progress]: adding candidates to table 0.579 * * [progress]: iteration 4 / 4 0.579 * * * [progress]: picking best candidate 0.586 * * * * [pick]: Picked # 0.586 * * * [progress]: localizing error 0.593 * * * [progress]: generating rewritten candidates 0.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.601 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.753 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.761 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.775 * * * [progress]: generating series expansions 0.776 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.776 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in (x y) around 0 0.776 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in y 0.776 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.776 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.776 * [taylor]: Taking taylor expansion of 1.0 in y 0.776 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in x 0.780 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in x 0.780 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (* x y) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) (* x y)) in x 0.781 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in x 0.781 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (* x y) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of 0 in y 0.783 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 y)) y) in y 0.784 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.784 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.784 * [taylor]: Taking taylor expansion of 1.0 in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in (x y) around 0 0.849 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.849 * [taylor]: Taking taylor expansion of (* x y) in y 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.849 * [taylor]: Taking taylor expansion of 1.0 in y 0.849 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.849 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.853 * [taylor]: Taking taylor expansion of (* x y) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in x 0.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (- 1.0 (/ 1 y)))) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.855 * [taylor]: Taking taylor expansion of (* x y) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in x 0.855 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.855 * [taylor]: Taking taylor expansion of 1.0 in x 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.856 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 y))) (/ 1 y)) in y 0.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.857 * [taylor]: Taking taylor expansion of 1.0 in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.886 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in (x y) around 0 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.899 * [taylor]: Taking taylor expansion of (* x y) in y 0.899 * [taylor]: Taking taylor expansion of x in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.900 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.900 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 1.0 in y 0.902 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in x 0.902 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.902 * [taylor]: Taking taylor expansion of (* x y) in x 0.902 * [taylor]: Taking taylor expansion of x in x 0.902 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (+ (/ 1 y) 1.0))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.904 * [taylor]: Taking taylor expansion of (* x y) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 y) 1.0)) (/ 1 y)) in y 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of 1.0 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.914 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.931 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.931 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (x y) around 0 0.931 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.931 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of (* x y) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (* x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.932 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of (* x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.934 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.934 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.934 * [taylor]: Taking taylor expansion of 1.0 in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.939 * [taylor]: Taking taylor expansion of 0 in y 0.942 * [taylor]: Taking taylor expansion of 0 in y 0.944 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.944 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.944 * [taylor]: Taking taylor expansion of 1.0 in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (* x y) in y 0.945 * [taylor]: Taking taylor expansion of x in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.945 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (* x y) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.946 * [taylor]: Taking taylor expansion of 1.0 in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (* x y) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.947 * [taylor]: Taking taylor expansion of 1.0 in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 0 in y 0.952 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.961 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of 1.0 in y 0.962 * [taylor]: Taking taylor expansion of (* x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (* x y) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (* x y) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of 1.0 in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.976 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.977 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 y)) in (y) around 0 0.977 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.977 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.977 * [taylor]: Taking taylor expansion of 1.0 in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 0.979 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.979 * [taylor]: Taking taylor expansion of 1.0 in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.992 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.992 * [taylor]: Taking taylor expansion of 1.0 in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.994 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.994 * [taylor]: Taking taylor expansion of 1.0 in y 0.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.994 * [taylor]: Taking taylor expansion of y in y 1.002 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 1.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 1.0 in y 1.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.004 * [taylor]: Taking taylor expansion of 1.0 in y 1.012 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.012 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 y)) in (y) around 0 1.012 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 1.012 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 1.012 * [taylor]: Taking taylor expansion of 1.0 in y 1.012 * [taylor]: Taking taylor expansion of y in y 1.014 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 y)) in y 1.014 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 1.014 * [taylor]: Taking taylor expansion of 1.0 in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.024 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 1.024 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.024 * [taylor]: Taking taylor expansion of 1.0 in y 1.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.026 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.026 * [taylor]: Taking taylor expansion of 1.0 in y 1.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.026 * [taylor]: Taking taylor expansion of y in y 1.034 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of 1.0 in y 1.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of 1.0 in y 1.043 * * * [progress]: simplifying candidates 1.045 * [simplify]: Simplifying using # : (expm1 (* (* x y) (sqrt (- 1.0 y)))) (log1p (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y))) (+ (+ (log x) (log y)) (log (sqrt (- 1.0 y)))) (+ (log (* x y)) (log (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (exp (* (* x y) (sqrt (- 1.0 y)))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (cbrt (* (* x y) (sqrt (- 1.0 y)))) (cbrt (* (* x y) (sqrt (- 1.0 y))))) (cbrt (* (* x y) (sqrt (- 1.0 y)))) (* (* (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* x y) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt 1)) (* (* x y) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* x y) (sqrt 1)) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* (* x y) 1) (* y (sqrt (- 1.0 y))) (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (expm1 (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (log1p (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (+ (+ (+ (log x) (log y)) (log (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (+ (+ (log (* x y)) (log (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (+ (log (* (* x y) (sqrt (- 1.0 y)))) (log (sqrt (- 1.0 y)))) (log (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (exp (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y)))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (sqrt (+ 1.0 y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ 1.0 y)) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt 1)) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt 1)) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* (* x y) (sqrt (- 1.0 y))) 1) (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (sqrt (- 1.0 y))) (expm1 (sqrt (- 1.0 y))) (log1p (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) (/ 1 2) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (expm1 (sqrt (- 1.0 y))) (log1p (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (* (* (sqrt (- 1.0 y)) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))) (sqrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) (sqrt 1) (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) (/ 1 2) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (- (* x (* (sqrt 1.0) y)) (+ (* 1/2 (/ (* x (pow y 2)) (sqrt 1.0))) (* 1/8 (/ (* x (pow y 3)) (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 (* x 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))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 1.051 * * [simplify]: iteration 0 : 415 enodes (cost 730 ) 1.060 * * [simplify]: iteration 1 : 1956 enodes (cost 629 ) 1.097 * * [simplify]: iteration 2 : 5001 enodes (cost 605 ) 1.102 * [simplify]: Simplified to: (expm1 (* (* x y) (sqrt (- 1.0 y)))) (log1p (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* x y) (sqrt (- 1.0 y))) (log (* (* x y) (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (log (* (* x y) (sqrt (- 1.0 y)))) (exp (* (* x y) (sqrt (- 1.0 y)))) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (* (cbrt (* (* x y) (sqrt (- 1.0 y)))) (cbrt (* (* x y) (sqrt (- 1.0 y))))) (cbrt (* (* x y) (sqrt (- 1.0 y)))) (pow (* (* x y) (sqrt (- 1.0 y))) 3) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (sqrt (* (* x y) (sqrt (- 1.0 y)))) (* (* x y) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* x (* y (fabs (cbrt (- 1.0 y))))) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* x y) (* (* x y) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* x y) (* (* x y) (sqrt (sqrt (- 1.0 y)))) (* x y) (* y (sqrt (- 1.0 y))) (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* x y) (sqrt (- (* 1.0 1.0) (* y y)))) (expm1 (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (log1p (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (+ (log (* x y)) (log (- 1.0 y))) (pow (exp (* x y)) (- 1.0 y)) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (pow (* (* x y) (- 1.0 y)) 3) (* (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))) (cbrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (pow (* (* x y) (- 1.0 y)) 3) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (sqrt (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))) (* (- (pow 1.0 3) (pow y 3)) (* x y)) (fma 1.0 1.0 (fma y y (* 1.0 y))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (* (* x y) (sqrt (- (pow 1.0 3) (pow y 3)))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (+ 1.0 y))) (* (- (* 1.0 1.0) (* y y)) (* x y)) (+ 1.0 y) (* (* (* x y) (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y))))) (* (* x y) (* (sqrt (- 1.0 y)) (fabs (cbrt (- 1.0 y))))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (+ (sqrt 1.0) (sqrt y)))) (* (* x y) (sqrt (- 1.0 y))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y)))) (* (* x y) (sqrt (- 1.0 y))) (- 1.0 y) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (pow 1.0 3) (pow y 3)))) (* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- (* 1.0 1.0) (* y y)))) (expm1 (sqrt (- 1.0 y))) (log1p (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (pow (sqrt (- 1.0 y)) 3) (fabs (cbrt (- 1.0 y))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) 1 (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) 1 (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) 1/2 (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (expm1 (sqrt (- 1.0 y))) (log1p (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y))) (exp (sqrt (- 1.0 y))) (* (cbrt (sqrt (- 1.0 y))) (cbrt (sqrt (- 1.0 y)))) (cbrt (sqrt (- 1.0 y))) (pow (sqrt (- 1.0 y)) 3) (fabs (cbrt (- 1.0 y))) (sqrt (cbrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) 1 (sqrt (- 1.0 y)) (sqrt (+ (sqrt 1.0) (sqrt y))) (sqrt (- (sqrt 1.0) (sqrt y))) 1 (sqrt (- 1.0 y)) (sqrt (- (pow 1.0 3) (pow y 3))) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))) (sqrt (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y)) 1/2 (sqrt (sqrt (- 1.0 y))) (sqrt (sqrt (- 1.0 y))) (fma x (* (sqrt 1.0) y) (- (fma 1/2 (/ (* x (pow y 2)) (sqrt 1.0)) (* 1/8 (/ (* x (pow y 3)) (pow (sqrt 1.0) 3)))))) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) (* x y)))) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) (* x y)))) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (* (* x y) (- 1.0 y)) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (+ (/ +nan.0 (pow y 2)) (- (fma +nan.0 1 (/ +nan.0 y)))) (+ (/ +nan.0 (pow y 2)) (- (fma +nan.0 1 (/ +nan.0 y)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ y (sqrt 1.0))))) (+ (/ +nan.0 (pow y 2)) (- (fma +nan.0 1 (/ +nan.0 y)))) (+ (/ +nan.0 (pow y 2)) (- (fma +nan.0 1 (/ +nan.0 y)))) 1.102 * * * [progress]: adding candidates to table 1.279 * [progress]: [Phase 3 of 3] Extracting. 1.279 * * [regime]: Finding splitpoints for: (# # # # # #) 1.279 * * * [regime-changes]: Trying 3 branch expressions: ((* (* x y) (- 1.0 y)) y x) 1.279 * * * * [regimes]: Trying to branch on (* (* x y) (- 1.0 y)) from (# # # # # #) 1.302 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.322 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.345 * * * [regime]: Found split indices: #