7.514 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (+ x y)) 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.022 * [simplify]: Simplified to: (sqrt (+ x y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.032 * [taylor]: Taking taylor expansion of (+ x y) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.033 * [taylor]: Taking taylor expansion of (+ x y) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.036 * [taylor]: Taking taylor expansion of 1/2 in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.039 * [taylor]: Taking taylor expansion of -1/8 in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of +nan.0 in y 0.052 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.052 * [taylor]: Taking taylor expansion of +nan.0 in y 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.054 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.054 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of +nan.0 in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.055 * [taylor]: Taking taylor expansion of +nan.0 in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.056 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.058 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.060 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of +nan.0 in y 0.063 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.063 * [taylor]: Taking taylor expansion of +nan.0 in y 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.064 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.070 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of +nan.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.071 * [taylor]: Taking taylor expansion of +nan.0 in y 0.072 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.075 * * [simplify]: iteration 0 : 122 enodes (cost 95 ) 0.078 * * [simplify]: iteration 1 : 303 enodes (cost 86 ) 0.083 * * [simplify]: iteration 2 : 969 enodes (cost 83 ) 0.099 * * [simplify]: iteration 3 : 2877 enodes (cost 78 ) 0.144 * * [simplify]: iteration 4 : 5002 enodes (cost 78 ) 0.145 * [simplify]: Simplified to: (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (* +nan.0 (- (- x y) (pow x 2))) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) (- (* (- (/ y x)) (- (/ +nan.0 x) +nan.0)) +nan.0) 0.145 * * * [progress]: adding candidates to table 0.181 * * [progress]: iteration 2 / 4 0.181 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.228 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.243 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.243 * [taylor]: Taking taylor expansion of (+ x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.244 * [taylor]: Taking taylor expansion of (+ x y) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.245 * [taylor]: Taking taylor expansion of (+ x y) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.246 * [taylor]: Taking taylor expansion of 1/2 in y 0.246 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.250 * [taylor]: Taking taylor expansion of -1/8 in y 0.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of +nan.0 in y 0.263 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.263 * [taylor]: Taking taylor expansion of +nan.0 in y 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of +nan.0 in y 0.265 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.265 * [taylor]: Taking taylor expansion of +nan.0 in y 0.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.265 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of +nan.0 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.265 * [taylor]: Taking taylor expansion of +nan.0 in y 0.267 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.267 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.269 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.271 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of +nan.0 in y 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.279 * [taylor]: Taking taylor expansion of +nan.0 in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.279 * [taylor]: Taking taylor expansion of +nan.0 in y 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.282 * [taylor]: Taking taylor expansion of +nan.0 in y 0.282 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.282 * [taylor]: Taking taylor expansion of +nan.0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.282 * [taylor]: Taking taylor expansion of +nan.0 in y 0.283 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.283 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.283 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.284 * [taylor]: Taking taylor expansion of 1/4 in y 0.284 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.284 * [taylor]: Taking taylor expansion of (+ x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.284 * [taylor]: Taking taylor expansion of 1/4 in x 0.284 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.284 * [taylor]: Taking taylor expansion of (+ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.284 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.284 * [taylor]: Taking taylor expansion of 1/4 in x 0.284 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.284 * [taylor]: Taking taylor expansion of (+ x y) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.284 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.284 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.284 * [taylor]: Taking taylor expansion of 1/4 in y 0.284 * [taylor]: Taking taylor expansion of (log y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.286 * [taylor]: Taking taylor expansion of 1/4 in y 0.286 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.286 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.286 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.286 * [taylor]: Taking taylor expansion of 1/4 in y 0.286 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.291 * [taylor]: Taking taylor expansion of -3/32 in y 0.291 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.291 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.291 * [taylor]: Taking taylor expansion of 1/4 in y 0.291 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.294 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.294 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.294 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.294 * [taylor]: Taking taylor expansion of 1/4 in y 0.294 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.295 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.295 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of 1/4 in x 0.295 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.296 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.296 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.296 * [taylor]: Taking taylor expansion of 1/4 in x 0.296 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.298 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.298 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.298 * [taylor]: Taking taylor expansion of -1/4 in y 0.298 * [taylor]: Taking taylor expansion of (log x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.299 * [taylor]: Taking taylor expansion of 1/4 in y 0.299 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.299 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.299 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.299 * [taylor]: Taking taylor expansion of 1/4 in y 0.299 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.307 * [taylor]: Taking taylor expansion of -3/32 in y 0.307 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.307 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.307 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.307 * [taylor]: Taking taylor expansion of 1/4 in y 0.307 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.325 * [taylor]: Taking taylor expansion of 7/128 in y 0.325 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.325 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.325 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.325 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.325 * [taylor]: Taking taylor expansion of 1/4 in y 0.325 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.339 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.339 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.339 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.344 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.348 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.348 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.352 * [taylor]: Taking taylor expansion of +nan.0 in y 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.353 * [taylor]: Taking taylor expansion of +nan.0 in y 0.353 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of +nan.0 in y 0.354 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.354 * [taylor]: Taking taylor expansion of +nan.0 in y 0.370 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0))) in y 0.370 * [taylor]: Taking taylor expansion of -1/2 in y 0.370 * [taylor]: Taking taylor expansion of (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0)) in y 0.370 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in y 0.370 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.370 * [taylor]: Taking taylor expansion of +nan.0 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.370 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.370 * [taylor]: Taking taylor expansion of +nan.0 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in y 0.374 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in y 0.374 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.374 * [taylor]: Taking taylor expansion of +nan.0 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.374 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.374 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.374 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.374 * [taylor]: Taking taylor expansion of +nan.0 in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.379 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.379 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.379 * [taylor]: Taking taylor expansion of +nan.0 in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.380 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.380 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.380 * [taylor]: Taking taylor expansion of +nan.0 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.380 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.380 * [taylor]: Taking taylor expansion of +nan.0 in y 0.382 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.382 * [taylor]: Taking taylor expansion of +nan.0 in y 0.382 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.382 * [taylor]: Taking taylor expansion of +nan.0 in y 0.477 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.477 * [approximate]: Taking taylor expansion of (pow (+ x y) 1/4) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in y 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in y 0.477 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in y 0.477 * [taylor]: Taking taylor expansion of 1/4 in y 0.477 * [taylor]: Taking taylor expansion of (log (+ x y)) in y 0.477 * [taylor]: Taking taylor expansion of (+ x y) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.477 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.477 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.477 * [taylor]: Taking taylor expansion of 1/4 in x 0.477 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.477 * [taylor]: Taking taylor expansion of (+ x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (pow (+ x y) 1/4) in x 0.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x y)))) in x 0.478 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x y))) in x 0.478 * [taylor]: Taking taylor expansion of 1/4 in x 0.478 * [taylor]: Taking taylor expansion of (log (+ x y)) in x 0.478 * [taylor]: Taking taylor expansion of (+ x y) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (pow y 1/4) in y 0.478 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.478 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.478 * [taylor]: Taking taylor expansion of 1/4 in y 0.478 * [taylor]: Taking taylor expansion of (log y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.480 * [taylor]: Taking taylor expansion of 1/4 in y 0.480 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.480 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.480 * [taylor]: Taking taylor expansion of 1/4 in y 0.480 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) in y 0.485 * [taylor]: Taking taylor expansion of -3/32 in y 0.485 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 7)) 1/4) in y 0.485 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 7))))) in y 0.485 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 7)))) in y 0.485 * [taylor]: Taking taylor expansion of 1/4 in y 0.485 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 7))) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 7)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 7) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.487 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in y 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in y 0.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in y 0.487 * [taylor]: Taking taylor expansion of 1/4 in y 0.487 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in y 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.489 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.489 * [taylor]: Taking taylor expansion of 1/4 in x 0.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 1/4) in x 0.490 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 y) (/ 1 x))))) in x 0.490 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 y) (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of 1/4 in x 0.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 y) (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (pow x -1/4) in y 0.491 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log x))) in y 0.491 * [taylor]: Taking taylor expansion of (* -1/4 (log x)) in y 0.491 * [taylor]: Taking taylor expansion of -1/4 in y 0.491 * [taylor]: Taking taylor expansion of (log x) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 x) 1/4) (/ 1 y))) in y 0.493 * [taylor]: Taking taylor expansion of 1/4 in y 0.493 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 y)) in y 0.493 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.493 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.493 * [taylor]: Taking taylor expansion of 1/4 in y 0.493 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of (* -3/32 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of -3/32 in y 0.500 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 2))) in y 0.500 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.500 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.500 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.500 * [taylor]: Taking taylor expansion of 1/4 in y 0.500 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (* 7/128 (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3)))) in y 0.517 * [taylor]: Taking taylor expansion of 7/128 in y 0.517 * [taylor]: Taking taylor expansion of (* (pow (/ 1 x) 1/4) (/ 1 (pow y 3))) in y 0.517 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/4) in y 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 x)))) in y 0.517 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 x))) in y 0.517 * [taylor]: Taking taylor expansion of 1/4 in y 0.517 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.518 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.538 * [approximate]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in y 0.538 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.538 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.543 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (sqrt (- (+ (/ 1 y) (/ 1 x))))) in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.552 * [taylor]: Taking taylor expansion of +nan.0 in y 0.552 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (- (/ 1 y) +nan.0) (sqrt +nan.0))) in y 0.552 * [taylor]: Taking taylor expansion of +nan.0 in y 0.552 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) +nan.0) (sqrt +nan.0)) in y 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [taylor]: Taking taylor expansion of +nan.0 in y 0.553 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.553 * [taylor]: Taking taylor expansion of +nan.0 in y 0.565 * [taylor]: Taking taylor expansion of (* -1/2 (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0))) in y 0.565 * [taylor]: Taking taylor expansion of -1/2 in y 0.565 * [taylor]: Taking taylor expansion of (/ (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) (sqrt +nan.0)) in y 0.565 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))))) in y 0.565 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2)))) in y 0.565 * [taylor]: Taking taylor expansion of +nan.0 in y 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) (pow y 2)) in y 0.565 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.565 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.565 * [taylor]: Taking taylor expansion of +nan.0 in y 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.569 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))))) in y 0.569 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))))) in y 0.569 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 2) y))) in y 0.569 * [taylor]: Taking taylor expansion of +nan.0 in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (sqrt +nan.0) 2) y)) in y 0.569 * [taylor]: Taking taylor expansion of (* (pow (sqrt +nan.0) 2) y) in y 0.569 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.569 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.569 * [taylor]: Taking taylor expansion of +nan.0 in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))))) in y 0.574 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)))) in y 0.574 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of +nan.0 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0))) in y 0.574 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) in y 0.574 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) in y 0.574 * [taylor]: Taking taylor expansion of +nan.0 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt +nan.0) 2)) in y 0.575 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 2) in y 0.575 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.575 * [taylor]: Taking taylor expansion of +nan.0 in y 0.577 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.577 * [taylor]: Taking taylor expansion of +nan.0 in y 0.577 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in y 0.577 * [taylor]: Taking taylor expansion of +nan.0 in y 0.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.870 * [approximate]: Taking taylor expansion of (sqrt (+ x y)) in (x y) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in y 0.870 * [taylor]: Taking taylor expansion of (+ x y) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.871 * [taylor]: Taking taylor expansion of (+ x y) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ x y)) in x 0.871 * [taylor]: Taking taylor expansion of (+ x y) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.873 * [taylor]: Taking taylor expansion of 1/2 in y 0.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.876 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 0.876 * [taylor]: Taking taylor expansion of -1/8 in y 0.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.876 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.883 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in y 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.883 * [taylor]: Taking taylor expansion of x in y 0.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) (/ 1 x))) in x 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [taylor]: Taking taylor expansion of +nan.0 in y 0.889 * [taylor]: Taking taylor expansion of (* +nan.0 (- (/ 1 y) +nan.0)) in y 0.889 * [taylor]: Taking taylor expansion of +nan.0 in y 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [taylor]: Taking taylor expansion of +nan.0 in y 0.891 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.891 * [taylor]: Taking taylor expansion of +nan.0 in y 0.891 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.891 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.891 * [taylor]: Taking taylor expansion of +nan.0 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.891 * [taylor]: Taking taylor expansion of +nan.0 in y 0.893 * [approximate]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.893 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in y 0.893 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.893 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.893 * [taylor]: Taking taylor expansion of x in y 0.895 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.895 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.895 * [taylor]: Taking taylor expansion of y in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 y) (/ 1 x)))) in x 0.897 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [taylor]: Taking taylor expansion of +nan.0 in y 0.905 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (/ 1 y) (- +nan.0))) in y 0.905 * [taylor]: Taking taylor expansion of +nan.0 in y 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.905 * [taylor]: Taking taylor expansion of +nan.0 in y 0.908 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.908 * [taylor]: Taking taylor expansion of +nan.0 in y 0.908 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.908 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.908 * [taylor]: Taking taylor expansion of +nan.0 in y 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.908 * [taylor]: Taking taylor expansion of +nan.0 in y 0.909 * * * [progress]: simplifying candidates 0.912 * [simplify]: Simplifying using # : (expm1 (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (log1p (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y))))) (log (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (exp (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y))))) (* (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))))) (cbrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (sqrt (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y)))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (- x y))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y)))))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (- x y))) (sqrt (sqrt (- x y)))) (* (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))))) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y))))) (* (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (cbrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* 1 1) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ x y))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) (sqrt 1)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y))))) (* (sqrt (sqrt (+ x y))) 1) (* (cbrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt 1) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (* (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (sqrt (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt 1)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt 1) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (* (* (sqrt (+ x y)) (sqrt (+ x y))) (sqrt (+ x y))) (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt 1) (sqrt (+ x y)) (sqrt 1) (sqrt (+ x y)) (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (/ 1 2) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* 1/4 (* x (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4)))) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* 1/4 (* x (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4)))) (pow (/ 1 x) -1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 x) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) (- (+ (* +nan.0 (/ y (pow x 2))) (- (+ (* +nan.0 (/ y x)) (- +nan.0))))) 0.919 * * [simplify]: iteration 0 : 345 enodes (cost 868 ) 0.926 * * [simplify]: iteration 1 : 1409 enodes (cost 786 ) 0.956 * * [simplify]: iteration 2 : 5001 enodes (cost 772 ) 0.961 * [simplify]: Simplified to: (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ x y) (sqrt (+ x y)) (* (+ x y) (+ x y)) (+ x y) (* (+ x y) (+ x y)) 2 (log (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (* (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) (pow (cbrt (sqrt (sqrt (+ x y)))) 4) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 2 1/2 1 1/2 (* (sqrt (sqrt (+ x y))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y)))))) (* (fabs (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y)))))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (sqrt (+ x y))) (pow (cbrt (sqrt (sqrt (+ x y)))) 4) (* (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (+ x y)))) (* (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (sqrt (+ x y)) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (pow (sqrt (sqrt (sqrt (+ x y)))) 3) (sqrt (+ x y)) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3))))) (* (sqrt (sqrt (+ x y))) (sqrt (sqrt (- (* x x) (* y y))))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (+ x y))) 3) (fabs (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (sqrt (+ x y)))) (log1p (sqrt (sqrt (+ x y)))) (log (sqrt (sqrt (+ x y)))) (exp (sqrt (sqrt (+ x y)))) (* (cbrt (sqrt (sqrt (+ x y)))) (cbrt (sqrt (sqrt (+ x y))))) (cbrt (sqrt (sqrt (+ x y)))) (pow (sqrt (sqrt (+ x y))) 3) (fabs (cbrt (sqrt (+ x y)))) (sqrt (cbrt (sqrt (+ x y)))) (sqrt (sqrt (* (cbrt (+ x y)) (cbrt (+ x y))))) (sqrt (sqrt (cbrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) 1 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ (pow x 3) (pow y 3)))) (sqrt (sqrt (+ (* x x) (- (* y y) (* x y))))) (sqrt (sqrt (- (* x x) (* y y)))) (sqrt (sqrt (- x y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))) (expm1 (sqrt (+ x y))) (log1p (sqrt (+ x y))) (log (sqrt (+ x y))) (exp (sqrt (+ x y))) (* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y)))) (cbrt (sqrt (+ x y))) (pow (sqrt (+ x y)) 3) (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))) (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) 1 (sqrt (+ x y)) 1 (sqrt (+ x y)) (hypot (pow y 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- (* x x) (* y y))) (sqrt (- x y)) 1/2 (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (* 1/4 x) (pow (/ 1 (pow y 3)) 1/4) (- (pow y 1/4) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4))))) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (fma (* 1/4 x) (pow (/ 1 (pow y 3)) 1/4) (- (pow y 1/4) (* 3/32 (* (pow x 2) (pow (/ 1 (pow y 7)) 1/4))))) (pow (/ 1 x) -1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- x y))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) (fma (- +nan.0) (/ y (pow x 2)) (fma +nan.0 (/ y x) (- +nan.0))) 0.962 * * * [progress]: adding candidates to table 1.214 * * [progress]: iteration 3 / 4 1.214 * * * [progress]: picking best candidate 1.215 * * * * [pick]: Picked # 1.215 * * * [progress]: localizing error 1.229 * * * [progress]: generating rewritten candidates 1.229 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.241 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.263 * * * [progress]: generating series expansions 1.263 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.263 * [approximate]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/4) in (x y) around 0 1.264 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/4) in y 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ x y) 2)))) in y 1.264 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ x y) 2))) in y 1.264 * [taylor]: Taking taylor expansion of 1/4 in y 1.264 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in y 1.264 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 1.264 * [taylor]: Taking taylor expansion of (+ x y) in y 1.264 * [taylor]: Taking taylor expansion of x in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/4) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ x y) 2)))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ x y) 2))) in x 1.264 * [taylor]: Taking taylor expansion of 1/4 in x 1.264 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.264 * [taylor]: Taking taylor expansion of (+ x y) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.264 * [taylor]: Taking taylor expansion of (pow (pow (+ x y) 2) 1/4) in x 1.264 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ x y) 2)))) in x 1.264 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ x y) 2))) in x 1.264 * [taylor]: Taking taylor expansion of 1/4 in x 1.264 * [taylor]: Taking taylor expansion of (log (pow (+ x y) 2)) in x 1.264 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.264 * [taylor]: Taking taylor expansion of (+ x y) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.265 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/4) in y 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow y 2)))) in y 1.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow y 2))) in y 1.265 * [taylor]: Taking taylor expansion of 1/4 in y 1.265 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y 1.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.265 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 1.267 * [taylor]: Taking taylor expansion of 1/2 in y 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.273 * [taylor]: Taking taylor expansion of (* -1/8 (sqrt (/ 1 (pow y 3)))) in y 1.273 * [taylor]: Taking taylor expansion of -1/8 in y 1.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.273 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.273 * [taylor]: Taking taylor expansion of y in y 1.280 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in (x y) around 0 1.280 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in y 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 1.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 1.280 * [taylor]: Taking taylor expansion of 1/4 in y 1.280 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.280 * [taylor]: Taking taylor expansion of x in y 1.281 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in x 1.281 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.281 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.281 * [taylor]: Taking taylor expansion of 1/4 in x 1.281 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.281 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.282 * [taylor]: Taking taylor expansion of y in x 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in x 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.283 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.283 * [taylor]: Taking taylor expansion of 1/4 in x 1.283 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.283 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.283 * [taylor]: Taking taylor expansion of y in x 1.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.284 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.284 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.284 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.284 * [taylor]: Taking taylor expansion of -1/2 in y 1.284 * [taylor]: Taking taylor expansion of (log x) in y 1.284 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.286 * [taylor]: Taking taylor expansion of 1/2 in y 1.286 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.286 * [taylor]: Taking taylor expansion of x in y 1.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.286 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.292 * [taylor]: Taking taylor expansion of -1/8 in y 1.292 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.292 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.292 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.308 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) in y 1.308 * [taylor]: Taking taylor expansion of 1/16 in y 1.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) in y 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.308 * [taylor]: Taking taylor expansion of x in y 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.308 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.308 * [taylor]: Taking taylor expansion of y in y 1.316 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in (x y) around 0 1.317 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in y 1.317 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in y 1.317 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in y 1.317 * [taylor]: Taking taylor expansion of 1/4 in y 1.317 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in y 1.317 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.317 * [taylor]: Taking taylor expansion of y in y 1.317 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.317 * [taylor]: Taking taylor expansion of x in y 1.318 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in x 1.318 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.318 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.318 * [taylor]: Taking taylor expansion of 1/4 in x 1.318 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.318 * [taylor]: Taking taylor expansion of y in x 1.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.318 * [taylor]: Taking taylor expansion of x in x 1.320 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 y) (/ 1 x)) 2) 1/4) in x 1.320 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2)))) in x 1.320 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (+ (/ 1 y) (/ 1 x)) 2))) in x 1.320 * [taylor]: Taking taylor expansion of 1/4 in x 1.320 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 y) (/ 1 x)) 2)) in x 1.320 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 1.321 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 1.321 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 1.321 * [taylor]: Taking taylor expansion of -1/2 in y 1.321 * [taylor]: Taking taylor expansion of (log x) in y 1.321 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 x)) (/ 1 y))) in y 1.323 * [taylor]: Taking taylor expansion of 1/2 in y 1.323 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 1.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.323 * [taylor]: Taking taylor expansion of x in y 1.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.323 * [taylor]: Taking taylor expansion of y in y 1.329 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) in y 1.329 * [taylor]: Taking taylor expansion of -1/8 in y 1.329 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) in y 1.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.329 * [taylor]: Taking taylor expansion of x in y 1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.329 * [taylor]: Taking taylor expansion of y in y 1.341 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 3)))) in y 1.341 * [taylor]: Taking taylor expansion of 1/16 in y 1.341 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) in y 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.341 * [taylor]: Taking taylor expansion of x in y 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.342 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.349 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.349 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 1.349 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 1.349 * [taylor]: Taking taylor expansion of (+ x y) in y 1.349 * [taylor]: Taking taylor expansion of x in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.350 * [taylor]: Taking taylor expansion of (+ x y) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.350 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 1.350 * [taylor]: Taking taylor expansion of (+ x y) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of y in x 1.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.350 * [taylor]: Taking taylor expansion of 2 in y 1.350 * [taylor]: Taking taylor expansion of y in y 1.351 * [taylor]: Taking taylor expansion of 1 in y 1.352 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 1.352 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.352 * [taylor]: Taking taylor expansion of y in y 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.352 * [taylor]: Taking taylor expansion of x in y 1.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.353 * [taylor]: Taking taylor expansion of y in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.353 * [taylor]: Taking taylor expansion of y in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of 1 in y 1.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.355 * [taylor]: Taking taylor expansion of 2 in y 1.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.356 * [taylor]: Taking taylor expansion of y in y 1.358 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 1.358 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.358 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.358 * [taylor]: Taking taylor expansion of x in y 1.358 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.358 * [taylor]: Taking taylor expansion of y in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 1.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.359 * [taylor]: Taking taylor expansion of y in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of 1 in y 1.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.360 * [taylor]: Taking taylor expansion of 2 in y 1.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.360 * [taylor]: Taking taylor expansion of y in y 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.362 * [taylor]: Taking taylor expansion of y in y 1.363 * * * [progress]: simplifying candidates 1.365 * [simplify]: Simplifying using # : (expm1 (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (log1p (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (* (+ (log (+ x y)) (log (+ x y))) (/ (/ 1 2) 2)) (* (log (* (+ x y) (+ x y))) (/ (/ 1 2) 2)) (* (log (* (+ x y) (+ x y))) (/ (/ 1 2) 2)) (* (+ 1 1) (/ (/ 1 2) 2)) (* 1 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2)) (* (+ 1 1) (/ (/ 1 2) 2)) (* 1 (/ (/ 1 2) 2)) (* (* 2 1) (/ (/ 1 2) 2)) (pow (* (+ x y) (+ x y)) (* (cbrt (/ (/ 1 2) 2)) (cbrt (/ (/ 1 2) 2)))) (pow (* (+ x y) (+ x y)) (sqrt (/ (/ 1 2) 2))) (pow (* (+ x y) (+ x y)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (* (cbrt (/ 1 2)) (cbrt (/ 1 2))) 1)) (pow (* (+ x y) (+ x y)) (/ (sqrt (/ 1 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (sqrt (/ 1 2)) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (sqrt (/ 1 2)) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 2)) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 2)) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (sqrt 2)) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) (sqrt 2)) 1)) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) 1) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ (sqrt 1) 1) 1)) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) 1)) (pow (* (+ x y) (+ x y)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 1) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (/ 1 1) 1)) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ 1 1)) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ 1 1)) (pow (* (+ x y) (+ x y)) 1) (pow (* (+ x y) (+ x y)) (/ 1 2)) (pow (+ x y) (/ (/ 1 2) 2)) (pow (+ x y) (/ (/ 1 2) 2)) (log (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (exp (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (* (cbrt (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (cbrt (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2)))) (cbrt (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (* (* (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2)) (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (sqrt (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (sqrt (pow (* (+ x y) (+ x y)) (/ (/ 1 2) 2))) (pow (* (+ x y) (+ x y)) (/ (/ (/ 1 2) 2) 2)) (pow (* (+ x y) (+ x y)) (/ (/ (/ 1 2) 2) 2)) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (- (pow y 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.371 * * [simplify]: iteration 0 : 577 enodes (cost 674 ) 1.382 * * [simplify]: iteration 1 : 2425 enodes (cost 607 ) 1.424 * * [simplify]: iteration 2 : 5001 enodes (cost 563 ) 1.427 * [simplify]: Simplified to: (expm1 (pow (* (+ x y) (+ x y)) 1/4)) (log1p (pow (* (+ x y) (+ x y)) 1/4)) (* 1/2 (log (+ x y))) (* 1/2 (log (+ x y))) (* 1/2 (log (+ x y))) 1/2 1/4 1/2 1/2 1/4 1/2 (pow (* (+ x y) (+ x y)) (* (cbrt 1/4) (cbrt 1/4))) (fabs (+ x y)) (pow (* (+ x y) (+ x y)) (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (pow (* (+ x y) (+ x y)) (/ (sqrt 1/2) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (sqrt 1/2) (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ (sqrt 1/2) 1)) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (fabs (+ x y)) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (* (+ x y) (+ x y)) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (fabs (+ x y)) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (* (+ x y) (+ x y)) (pow (* (+ x y) (+ x y)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (fabs (+ x y)) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (* (+ x y) (+ x y)) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (* (+ x y) (+ x y)) (pow (* (+ x y) (+ x y)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (+ x y) (+ x y)) (/ 1 (sqrt 2))) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (fabs (+ x y)) (pow (+ x y) 1/4) (pow (+ x y) 1/4) (* 1/2 (log (+ x y))) (exp (pow (* (+ x y) (+ x y)) 1/4)) (* (cbrt (pow (* (+ x y) (+ x y)) 1/4)) (cbrt (pow (* (+ x y) (+ x y)) 1/4))) (cbrt (pow (* (+ x y) (+ x y)) 1/4)) (pow (pow (* (+ x y) (+ x y)) 1/4) 3) (sqrt (pow (* (+ x y) (+ x y)) 1/4)) (sqrt (pow (* (+ x y) (+ x y)) 1/4)) (pow (* (+ x y) (+ x y)) 1/8) (pow (* (+ x y) (+ x y)) 1/8) (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (+ (- (pow y 1/2) (* +nan.0 (pow x 2))) (* +nan.0 x)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) 1.427 * * * [progress]: adding candidates to table 1.625 * [progress]: [Phase 3 of 3] Extracting. 1.625 * * [regime]: Finding splitpoints for: (# # #) 1.625 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (sqrt (+ x y)) y x) 1.625 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 1.638 * * * * [regimes]: Trying to branch on (sqrt (+ x y)) from (# # #) 1.655 * * * * [regimes]: Trying to branch on y from (# # #) 1.671 * * * * [regimes]: Trying to branch on x from (# # #) 1.685 * * * [regime]: Found split indices: #