7.746 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (* (* x y) (- 1.0 y)) 0.018 * * [simplify]: iteration 0 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 32 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 74 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.025 * * [simplify]: iteration 4 : 123 enodes (cost 3 ) 0.027 * * [simplify]: iteration 5 : 127 enodes (cost 3 ) 0.029 * * [simplify]: iteration 6 : 127 enodes (cost 3 ) 0.029 * [simplify]: Simplified to: (* (* x y) (- 1.0 y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [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) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [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 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 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 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) y) in y 0.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x 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 (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) y) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.094 * [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))) 0.099 * * [simplify]: iteration 0 : 292 enodes (cost 436 ) 0.105 * * [simplify]: iteration 1 : 1402 enodes (cost 284 ) 0.137 * * [simplify]: iteration 2 : 5001 enodes (cost 272 ) 0.139 * [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)) 0.139 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.186 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.211 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.217 * [approximate]: Taking taylor expansion of (* -1 (* x (pow y 2))) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in y 0.217 * [taylor]: Taking taylor expansion of -1 in y 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (* -1 (* x (pow y 2))) in x 0.217 * [taylor]: Taking taylor expansion of -1 in x 0.217 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.224 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.224 * [taylor]: Taking taylor expansion of -1 in y 0.224 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.224 * [taylor]: Taking taylor expansion of x in y 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.224 * [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 0.225 * [taylor]: Taking taylor expansion of y in x 0.226 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.226 * [taylor]: Taking taylor expansion of -1 in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.237 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.250 * [approximate]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in y 0.250 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in y 0.250 * [taylor]: Taking taylor expansion of 1.0 in y 0.250 * [taylor]: Taking taylor expansion of (* x y) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.250 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (* x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- (* 1.0 (* x y)) (* x (pow y 2))) in x 0.250 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (* x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.256 * [taylor]: Taking taylor expansion of 1.0 in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in y 0.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.271 * [taylor]: Taking taylor expansion of (* x y) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of (* x y) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.272 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (* x y))) (/ 1 (* x (pow y 2)))) in x 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.273 * [taylor]: Taking taylor expansion of (* x y) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.273 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [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 0.300 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in y 0.300 * [taylor]: Taking taylor expansion of 1.0 in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.300 * [taylor]: Taking taylor expansion of (* x y) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.300 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.301 * [taylor]: Taking taylor expansion of 1.0 in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.301 * [taylor]: Taking taylor expansion of (* x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 (* x y)))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* x y))) in x 0.302 * [taylor]: Taking taylor expansion of 1.0 in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.302 * [taylor]: Taking taylor expansion of (* x y) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.326 * * * [progress]: simplifying candidates 0.327 * [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))) 0.331 * * [simplify]: iteration 0 : 252 enodes (cost 263 ) 0.337 * * [simplify]: iteration 1 : 1522 enodes (cost 222 ) 0.383 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.385 * [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)) 0.385 * * * [progress]: adding candidates to table 0.478 * * [progress]: iteration 3 / 4 0.478 * * * [progress]: picking best candidate 0.488 * * * * [pick]: Picked # 0.488 * * * [progress]: localizing error 0.506 * * * [progress]: generating rewritten candidates 0.506 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.517 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.528 * * * [progress]: generating series expansions 0.528 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.530 * [approximate]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in (y x) around 0 0.530 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in x 0.530 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (* x y) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.530 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.530 * [taylor]: Taking taylor expansion of 1.0 in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (* x y) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (* (- 1.0 y) (* x y)) in y 0.530 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.530 * [taylor]: Taking taylor expansion of 1.0 in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (* x y) in y 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (- x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of 0 in x 0.540 * [taylor]: Taking taylor expansion of 0 in x 0.542 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in (y x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in x 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (* x y) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.542 * [taylor]: Taking taylor expansion of 1.0 in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (* x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) (* x y)) in y 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.544 * [taylor]: Taking taylor expansion of 1.0 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (* x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.552 * [taylor]: Taking taylor expansion of 0 in x 0.555 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in (y x) around 0 0.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in x 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (* x y) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 1.0 in y 0.556 * [taylor]: Taking taylor expansion of (* x y) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (* x y)) in y 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of 1.0 in y 0.557 * [taylor]: Taking taylor expansion of (* x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of 0 in x 0.564 * [taylor]: Taking taylor expansion of 0 in x 0.565 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.567 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (y x) around 0 0.567 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.567 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.567 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.567 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.567 * [taylor]: Taking taylor expansion of 1.0 in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of (- x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.573 * [taylor]: Taking taylor expansion of 0 in x 0.575 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (y x) around 0 0.576 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.576 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.576 * [taylor]: Taking taylor expansion of 1.0 in y 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.582 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.582 * [taylor]: Taking taylor expansion of 1.0 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of 0 in x 0.590 * [taylor]: Taking taylor expansion of 0 in x 0.593 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in (y x) around 0 0.593 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.593 * [taylor]: Taking taylor expansion of -1 in x 0.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.593 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.593 * [taylor]: Taking taylor expansion of -1 in y 0.593 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of 1.0 in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.594 * [taylor]: Taking taylor expansion of -1 in y 0.594 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of 1.0 in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.595 * [taylor]: Taking taylor expansion of -1 in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.601 * [taylor]: Taking taylor expansion of 0 in x 0.604 * * * [progress]: simplifying candidates 0.604 * [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)) 0.609 * * [simplify]: iteration 0 : 224 enodes (cost 382 ) 0.614 * * [simplify]: iteration 1 : 1118 enodes (cost 262 ) 0.643 * * [simplify]: iteration 2 : 5001 enodes (cost 252 ) 0.644 * [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)) 0.644 * * * [progress]: adding candidates to table 0.777 * * [progress]: iteration 4 / 4 0.777 * * * [progress]: picking best candidate 0.786 * * * * [pick]: Picked # 0.786 * * * [progress]: localizing error 0.800 * * * [progress]: generating rewritten candidates 0.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.801 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.803 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.804 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.811 * * * [progress]: generating series expansions 0.811 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.812 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.812 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.812 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.812 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.812 * [taylor]: Taking taylor expansion of 1/3 in y 0.812 * [taylor]: Taking taylor expansion of (log y) in y 0.812 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.813 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.813 * [taylor]: Taking taylor expansion of 1/3 in y 0.813 * [taylor]: Taking taylor expansion of (log y) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.860 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 0.860 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.861 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.861 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.861 * [taylor]: Taking taylor expansion of 1/3 in y 0.861 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.862 * [taylor]: Taking taylor expansion of 1/3 in y 0.862 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.917 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.917 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.917 * [taylor]: Taking taylor expansion of -1 in y 0.918 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.918 * [taylor]: Taking taylor expansion of 1/3 in y 0.918 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 0.919 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.919 * [taylor]: Taking taylor expansion of -1 in y 0.920 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 0.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 0.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 0.920 * [taylor]: Taking taylor expansion of 1/3 in y 0.920 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.986 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.987 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 0.987 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.987 * [taylor]: Taking taylor expansion of 1/3 in y 0.987 * [taylor]: Taking taylor expansion of (log y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 0.987 * [taylor]: Taking taylor expansion of 1/3 in y 0.987 * [taylor]: Taking taylor expansion of (log y) in y 0.987 * [taylor]: Taking taylor expansion of y in y 1.041 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.041 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.041 * [taylor]: Taking taylor expansion of 1/3 in y 1.041 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.042 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.042 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.042 * [taylor]: Taking taylor expansion of 1/3 in y 1.042 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.099 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.099 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.099 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.099 * [taylor]: Taking taylor expansion of -1 in y 1.100 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.100 * [taylor]: Taking taylor expansion of 1/3 in y 1.100 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.100 * [taylor]: Taking taylor expansion of y in y 1.101 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.101 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.101 * [taylor]: Taking taylor expansion of -1 in y 1.102 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.102 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.102 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.102 * [taylor]: Taking taylor expansion of 1/3 in y 1.102 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.102 * [taylor]: Taking taylor expansion of y in y 1.163 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 1.164 * [approximate]: Taking taylor expansion of (pow y 1/3) in (y) around 0 1.164 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.164 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.164 * [taylor]: Taking taylor expansion of 1/3 in y 1.164 * [taylor]: Taking taylor expansion of (log y) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.164 * [taylor]: Taking taylor expansion of (pow y 1/3) in y 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log y))) in y 1.164 * [taylor]: Taking taylor expansion of (* 1/3 (log y)) in y 1.164 * [taylor]: Taking taylor expansion of 1/3 in y 1.164 * [taylor]: Taking taylor expansion of (log y) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.217 * [approximate]: Taking taylor expansion of (pow (/ 1 y) 1/3) in (y) around 0 1.217 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.217 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.217 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.217 * [taylor]: Taking taylor expansion of 1/3 in y 1.217 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.218 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.218 * [taylor]: Taking taylor expansion of 1/3 in y 1.218 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.275 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.275 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.275 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.275 * [taylor]: Taking taylor expansion of -1 in y 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.276 * [taylor]: Taking taylor expansion of 1/3 in y 1.276 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.276 * [taylor]: Taking taylor expansion of y in y 1.277 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 y) 1/3)) in y 1.277 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.277 * [taylor]: Taking taylor expansion of -1 in y 1.278 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 1/3) in y 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 y)))) in y 1.278 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 y))) in y 1.278 * [taylor]: Taking taylor expansion of 1/3 in y 1.278 * [taylor]: Taking taylor expansion of (log (/ 1 y)) in y 1.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.278 * [taylor]: Taking taylor expansion of y in y 1.345 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.345 * [approximate]: Taking taylor expansion of (pow (pow y 2) 1/3) in (y) around 0 1.345 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.345 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.345 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.345 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.346 * [taylor]: Taking taylor expansion of y in y 1.346 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y 1.346 * [taylor]: Taking taylor expansion of 1/3 in y 1.346 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.405 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 1.405 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.405 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.405 * [taylor]: Taking taylor expansion of 1/3 in y 1.405 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.405 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.406 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.406 * [taylor]: Taking taylor expansion of 1/3 in y 1.406 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.462 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 1.462 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.462 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.462 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.462 * [taylor]: Taking taylor expansion of -1 in y 1.463 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.463 * [taylor]: Taking taylor expansion of 1/3 in y 1.463 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.463 * [taylor]: Taking taylor expansion of y in y 1.464 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in y 1.464 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in y 1.464 * [taylor]: Taking taylor expansion of (cbrt -1) in y 1.464 * [taylor]: Taking taylor expansion of -1 in y 1.465 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in y 1.465 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in y 1.465 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in y 1.465 * [taylor]: Taking taylor expansion of 1/3 in y 1.465 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in y 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.465 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.545 * * * [progress]: simplifying candidates 1.546 * [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)) 1.550 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.554 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 1.568 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 1.637 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 1.639 * [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)) 1.640 * * * [progress]: adding candidates to table 1.885 * [progress]: [Phase 3 of 3] Extracting. 1.885 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.887 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.887 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.914 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.944 * * * [regime]: Found split indices: #