10.871 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.039 * [taylor]: Taking taylor expansion of 1/2 in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.053 * [taylor]: Taking taylor expansion of 1/2 in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of -1/8 in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.059 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.064 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of -1/2 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * * * [progress]: simplifying candidates 0.075 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.078 * * [simplify]: iteration 0 : 116 enodes (cost 95 ) 0.081 * * [simplify]: iteration 1 : 334 enodes (cost 90 ) 0.087 * * [simplify]: iteration 2 : 997 enodes (cost 89 ) 0.108 * * [simplify]: iteration 3 : 3969 enodes (cost 87 ) 0.212 * * [simplify]: iteration 4 : 5002 enodes (cost 87 ) 0.213 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.213 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.249 * * * [progress]: picking best candidate 0.253 * * * * [pick]: Picked # 0.253 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.267 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.272 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.280 * * * [progress]: generating series expansions 0.280 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.280 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.280 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.281 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.282 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.284 * [taylor]: Taking taylor expansion of 1/2 in y 0.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.289 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of 1 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.298 * [taylor]: Taking taylor expansion of 1/2 in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of -1/8 in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.304 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.313 * [taylor]: Taking taylor expansion of -1/2 in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of -1/8 in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.320 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.320 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.320 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.321 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.324 * [taylor]: Taking taylor expansion of 1/2 in y 0.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of 1 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.343 * [taylor]: Taking taylor expansion of 1/2 in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of -1/8 in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.349 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of 1 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.358 * [taylor]: Taking taylor expansion of -1/2 in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.363 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.363 * [taylor]: Taking taylor expansion of -1/8 in y 0.363 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.365 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.365 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in y 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 0.370 * [taylor]: Taking taylor expansion of 3/2 in y 0.370 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.387 * [taylor]: Taking taylor expansion of 3/2 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [approximate]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.391 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.392 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.396 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 y))) in y 0.402 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.402 * [taylor]: Taking taylor expansion of 3/2 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * * * [progress]: simplifying candidates 0.408 * [simplify]: Simplifying using # : (log (cbrt (pow (sqrt (+ (* x x) y)) 3))) (exp (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3)) (cbrt (pow (cbrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3)) (cbrt (pow (sqrt (cbrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt 1) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow (sqrt (sqrt (+ (* x x) y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (sqrt (+ (* x x) y))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt 1) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2))) (cbrt (pow (sqrt (+ (* x x) y)) (/ 3 2))) (cbrt (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3)) (cbrt (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3)) (cbrt (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3)) (cbrt (pow (sqrt (- (* x x) y)) 3)) (* (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3)))) (cbrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (* (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (sqrt (cbrt (pow (sqrt (+ (* x x) y)) 3))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (log (sqrt (+ (* x x) y))) 3) (* (log (sqrt (+ (* x x) y))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) y)) (sqrt 3)) (pow (sqrt (+ (* x x) y)) 1) (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3) (pow (cbrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow 1 3) (pow (sqrt (+ (* x x) y)) 3) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (log (pow (sqrt (+ (* x x) y)) 3)) (exp (pow (sqrt (+ (* x x) y)) 3)) (* (cbrt (pow (sqrt (+ (* x x) y)) 3)) (cbrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (pow (sqrt (+ (* x x) y)) 3)) (* (* (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) 3)) (pow (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) 3) (pow (cbrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt 1) 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow (sqrt (sqrt (+ (* x x) y))) 3) (pow 1 3) (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3) (pow (sqrt (- (* x x) y)) 3) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (/ 3 2) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) (/ 3 2)) (pow (sqrt (+ (* x x) y)) (/ 3 2)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (- (+ (* +nan.0 (* (pow x 2) y)) (- (+ (* +nan.0 (pow y 3)) (- (* +nan.0 (pow y 2))))))) (pow x 3) (* -1 (pow x 3)) 0.414 * * [simplify]: iteration 0 : 276 enodes (cost 487 ) 0.424 * * [simplify]: iteration 1 : 952 enodes (cost 459 ) 0.446 * * [simplify]: iteration 2 : 5001 enodes (cost 446 ) 0.449 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) (cbrt (sqrt (pow (sqrt (+ (* x x) y)) 3))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (log (pow (sqrt (+ (* x x) y)) 3)) (log (pow (sqrt (+ (* x x) y)) 3)) 3/2 3 3/2 (pow (sqrt (+ (* x x) y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (+ (* x x) y)) (sqrt 3)) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (fabs (cbrt (+ (* x x) y))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (log (pow (sqrt (+ (* x x) y)) 3)) (exp (pow (sqrt (+ (* x x) y)) 3)) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (pow (sqrt (+ (* x x) y)) 3) 3) (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (fabs (cbrt (+ (* x x) y))) 3) (pow (sqrt (cbrt (+ (* x x) y))) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) 1 (pow (sqrt (+ (* x x) y)) 3) (pow (sqrt (+ (pow (* x x) 3) (pow y 3))) 3) (pow (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) 3) (pow (sqrt (- (* (* x x) (* x x)) (* y y))) 3) (pow (sqrt (- (* x x) y)) 3) (+ (* x x) y) 3/2 (sqrt (pow (sqrt (+ (* x x) y)) 3)) (sqrt (pow (sqrt (+ (* x x) y)) 3)) (pow (sqrt (+ (* x x) y)) 3/2) (pow (sqrt (+ (* x x) y)) 3/2) (* +nan.0 (+ (* -1 (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (* -1 (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (* (* x x) y)) (- (pow y 3) (pow y 2)))) (pow x 3) (* -1 (pow x 3)) 0.450 * * * [progress]: adding candidates to table 0.566 * * [progress]: iteration 3 / 4 0.566 * * * [progress]: picking best candidate 0.569 * * * * [pick]: Picked # 0.569 * * * [progress]: localizing error 0.574 * * * [progress]: generating rewritten candidates 0.574 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 2) 0.583 * * * [progress]: generating series expansions 0.583 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 2) 0.587 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.587 * [taylor]: Taking taylor expansion of 1/2 in x 0.587 * [taylor]: Taking taylor expansion of (/ y x) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.587 * [taylor]: Taking taylor expansion of 1/2 in y 0.587 * [taylor]: Taking taylor expansion of (/ y x) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.587 * [taylor]: Taking taylor expansion of 1/2 in y 0.587 * [taylor]: Taking taylor expansion of (/ y x) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.587 * [taylor]: Taking taylor expansion of 1/2 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of 0 in x 0.589 * [taylor]: Taking taylor expansion of 0 in x 0.591 * [taylor]: Taking taylor expansion of 0 in x 0.591 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.591 * [taylor]: Taking taylor expansion of 1/2 in x 0.591 * [taylor]: Taking taylor expansion of (/ x y) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.592 * [taylor]: Taking taylor expansion of 1/2 in y 0.592 * [taylor]: Taking taylor expansion of (/ x y) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.592 * [taylor]: Taking taylor expansion of 1/2 in y 0.592 * [taylor]: Taking taylor expansion of (/ x y) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.592 * [taylor]: Taking taylor expansion of 1/2 in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of 0 in x 0.595 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (/ x y) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.598 * [taylor]: Taking taylor expansion of 1/2 in y 0.598 * [taylor]: Taking taylor expansion of (/ x y) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.598 * [taylor]: Taking taylor expansion of 1/2 in y 0.598 * [taylor]: Taking taylor expansion of (/ x y) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.601 * [taylor]: Taking taylor expansion of 0 in x 0.604 * [taylor]: Taking taylor expansion of 0 in x 0.604 * * * [progress]: simplifying candidates 0.605 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.608 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.612 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.626 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 0.667 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.668 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.668 * * * [progress]: adding candidates to table 0.711 * * [progress]: iteration 4 / 4 0.711 * * * [progress]: picking best candidate 0.712 * * * * [pick]: Picked # 0.712 * * * [progress]: localizing error 0.721 * * * [progress]: generating rewritten candidates 0.721 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.730 * * * [progress]: generating series expansions 0.730 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.730 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.730 * [taylor]: Taking taylor expansion of 1/2 in x 0.730 * [taylor]: Taking taylor expansion of (/ y x) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.730 * [taylor]: Taking taylor expansion of 1/2 in y 0.730 * [taylor]: Taking taylor expansion of (/ y x) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.730 * [taylor]: Taking taylor expansion of 1/2 in y 0.730 * [taylor]: Taking taylor expansion of (/ y x) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.730 * [taylor]: Taking taylor expansion of 1/2 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.731 * [taylor]: Taking taylor expansion of 0 in x 0.732 * [taylor]: Taking taylor expansion of 0 in x 0.734 * [taylor]: Taking taylor expansion of 0 in x 0.734 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.734 * [taylor]: Taking taylor expansion of 1/2 in x 0.734 * [taylor]: Taking taylor expansion of (/ x y) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.735 * [taylor]: Taking taylor expansion of 1/2 in y 0.735 * [taylor]: Taking taylor expansion of (/ x y) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.735 * [taylor]: Taking taylor expansion of 1/2 in y 0.735 * [taylor]: Taking taylor expansion of (/ x y) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.735 * [taylor]: Taking taylor expansion of 1/2 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [taylor]: Taking taylor expansion of 0 in x 0.741 * [taylor]: Taking taylor expansion of 0 in x 0.741 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.741 * [taylor]: Taking taylor expansion of 1/2 in x 0.741 * [taylor]: Taking taylor expansion of (/ x y) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.741 * [taylor]: Taking taylor expansion of 1/2 in y 0.741 * [taylor]: Taking taylor expansion of (/ x y) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.741 * [taylor]: Taking taylor expansion of 1/2 in y 0.741 * [taylor]: Taking taylor expansion of (/ x y) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.741 * [taylor]: Taking taylor expansion of 1/2 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of 0 in x 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.747 * [taylor]: Taking taylor expansion of 0 in x 0.747 * * * [progress]: simplifying candidates 0.748 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.751 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.755 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.770 * * [simplify]: iteration 2 : 2966 enodes (cost 118 ) 0.810 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.811 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ y x) 3)) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.811 * * * [progress]: adding candidates to table 0.856 * [progress]: [Phase 3 of 3] Extracting. 0.856 * * [regime]: Finding splitpoints for: (# # # #) 0.856 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.856 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 0.873 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.883 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 0.905 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 0.916 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 0.940 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 0.955 * * * * [regimes]: Trying to branch on y from (# # # #) 0.976 * * * * [regimes]: Trying to branch on x from (# # # #) 1.003 * * * [regime]: Found split indices: #