39.649 * [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)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [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) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.034 * [taylor]: Taking taylor expansion of x in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [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 0.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.036 * [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 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [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 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.052 * [taylor]: Taking taylor expansion of 1/2 in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.057 * [taylor]: Taking taylor expansion of -1/8 in y 0.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.057 * [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 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.063 * [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 ) 0.111 * * [simplify]: iteration 3 : 3969 enodes (cost 87 ) 0.213 * * [simplify]: iteration 4 : 5002 enodes (cost 87 ) 0.214 * [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)))) 0.214 * * * [progress]: adding candidates to table 0.248 * * [progress]: iteration 2 / 4 0.248 * * * [progress]: picking best candidate 0.252 * * * * [pick]: Picked # 0.252 * * * [progress]: localizing error 0.260 * * * [progress]: generating rewritten candidates 0.260 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.266 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.270 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.278 * * * [progress]: generating series expansions 0.278 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.278 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.282 * [taylor]: Taking taylor expansion of 1/2 in y 0.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.288 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [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 0.292 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.302 * [taylor]: Taking taylor expansion of 1/2 in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of -1/8 in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.313 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.313 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.323 * [taylor]: Taking taylor expansion of -1/2 in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of -1/8 in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.329 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.350 * [taylor]: Taking taylor expansion of 1/2 in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.355 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of -1/8 in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.356 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.356 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of 1 in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.365 * [taylor]: Taking taylor expansion of -1/2 in y 0.365 * [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 (/ -1/8 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of -1/8 in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.372 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in y 0.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.372 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.372 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (pow x 2) y)) 3) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.373 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.373 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (* 3/2 (sqrt y)) in y 0.377 * [taylor]: Taking taylor expansion of 3/2 in y 0.377 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.384 * [approximate]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.384 * [taylor]: Taking taylor expansion of x in y 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of (pow (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of 1 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.394 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.394 * [taylor]: Taking taylor expansion of 3/2 in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [approximate]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in (x y) around 0 0.399 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in y 0.399 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.399 * [taylor]: Taking taylor expansion of x in y 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.401 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.403 * [taylor]: Taking taylor expansion of (pow (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 3) in x 0.403 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.410 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 y))) in y 0.410 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y 0.410 * [taylor]: Taking taylor expansion of 3/2 in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * * * [progress]: simplifying candidates 0.416 * [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)) 0.424 * * [simplify]: iteration 0 : 276 enodes (cost 487 ) 0.430 * * [simplify]: iteration 1 : 952 enodes (cost 459 ) 0.452 * * [simplify]: iteration 2 : 5001 enodes (cost 446 ) 0.456 * [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)) 0.456 * * * [progress]: adding candidates to table 0.576 * * [progress]: iteration 3 / 4 0.576 * * * [progress]: picking best candidate 0.578 * * * * [pick]: Picked # 0.578 * * * [progress]: localizing error 0.583 * * * [progress]: generating rewritten candidates 0.583 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.592 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.596 * * * [progress]: generating series expansions 0.596 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.596 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.596 * [taylor]: Taking taylor expansion of 1/2 in x 0.596 * [taylor]: Taking taylor expansion of (/ y x) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.597 * [taylor]: Taking taylor expansion of 1/2 in y 0.597 * [taylor]: Taking taylor expansion of (/ y x) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.597 * [taylor]: Taking taylor expansion of 1/2 in y 0.597 * [taylor]: Taking taylor expansion of (/ y x) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.597 * [taylor]: Taking taylor expansion of 1/2 in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.600 * [taylor]: Taking taylor expansion of 0 in x 0.601 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.601 * [taylor]: Taking taylor expansion of 1/2 in x 0.601 * [taylor]: Taking taylor expansion of (/ x y) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.601 * [taylor]: Taking taylor expansion of 1/2 in y 0.601 * [taylor]: Taking taylor expansion of (/ x y) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.601 * [taylor]: Taking taylor expansion of 1/2 in y 0.601 * [taylor]: Taking taylor expansion of (/ x y) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.602 * [taylor]: Taking taylor expansion of 1/2 in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 0 in x 0.605 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [taylor]: Taking taylor expansion of 0 in x 0.607 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.607 * [taylor]: Taking taylor expansion of 1/2 in x 0.607 * [taylor]: Taking taylor expansion of (/ x y) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.608 * [taylor]: Taking taylor expansion of 1/2 in y 0.608 * [taylor]: Taking taylor expansion of (/ x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.608 * [taylor]: Taking taylor expansion of 1/2 in y 0.608 * [taylor]: Taking taylor expansion of (/ x y) in y 0.608 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.608 * [taylor]: Taking taylor expansion of 1/2 in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 0 in x 0.611 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.614 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.614 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.614 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.614 * [taylor]: Taking taylor expansion of 1/2 in y 0.614 * [taylor]: Taking taylor expansion of (/ y x) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.614 * [taylor]: Taking taylor expansion of 1/2 in x 0.614 * [taylor]: Taking taylor expansion of (/ y x) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.614 * [taylor]: Taking taylor expansion of 1/2 in x 0.614 * [taylor]: Taking taylor expansion of (/ y x) in x 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.614 * [taylor]: Taking taylor expansion of 1/2 in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [taylor]: Taking taylor expansion of 1 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.621 * [taylor]: Taking taylor expansion of 1/2 in y 0.621 * [taylor]: Taking taylor expansion of (/ x y) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.621 * [taylor]: Taking taylor expansion of 1/2 in x 0.621 * [taylor]: Taking taylor expansion of (/ x y) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.622 * [taylor]: Taking taylor expansion of 1/2 in x 0.622 * [taylor]: Taking taylor expansion of (/ x y) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of 1 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.624 * [taylor]: Taking taylor expansion of 1/2 in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.628 * [taylor]: Taking taylor expansion of 1/2 in y 0.628 * [taylor]: Taking taylor expansion of (/ x y) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.628 * [taylor]: Taking taylor expansion of 1/2 in x 0.628 * [taylor]: Taking taylor expansion of (/ x y) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.629 * [taylor]: Taking taylor expansion of 1/2 in x 0.629 * [taylor]: Taking taylor expansion of (/ x y) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of -1 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.631 * [taylor]: Taking taylor expansion of 1/2 in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.636 * * * [progress]: simplifying candidates 0.637 * [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) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.641 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.646 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.666 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.749 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 0.751 * [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))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ 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) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.751 * * * [progress]: adding candidates to table 0.814 * * [progress]: iteration 4 / 4 0.814 * * * [progress]: picking best candidate 0.815 * * * * [pick]: Picked # 0.815 * * * [progress]: localizing error 0.821 * * * [progress]: generating rewritten candidates 0.821 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.828 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.832 * * * [progress]: generating series expansions 0.832 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.832 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.832 * [taylor]: Taking taylor expansion of 1/2 in x 0.832 * [taylor]: Taking taylor expansion of (/ y x) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.832 * [taylor]: Taking taylor expansion of 1/2 in y 0.832 * [taylor]: Taking taylor expansion of (/ y x) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.832 * [taylor]: Taking taylor expansion of 1/2 in y 0.832 * [taylor]: Taking taylor expansion of (/ y x) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.832 * [taylor]: Taking taylor expansion of 1/2 in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of 0 in x 0.834 * [taylor]: Taking taylor expansion of 0 in x 0.836 * [taylor]: Taking taylor expansion of 0 in x 0.837 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.837 * [taylor]: Taking taylor expansion of 1/2 in x 0.837 * [taylor]: Taking taylor expansion of (/ x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.837 * [taylor]: Taking taylor expansion of 1/2 in y 0.837 * [taylor]: Taking taylor expansion of (/ x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.837 * [taylor]: Taking taylor expansion of 1/2 in y 0.837 * [taylor]: Taking taylor expansion of (/ x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.837 * [taylor]: Taking taylor expansion of 1/2 in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.838 * [taylor]: Taking taylor expansion of 0 in x 0.840 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [taylor]: Taking taylor expansion of 0 in x 0.843 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.843 * [taylor]: Taking taylor expansion of 1/2 in x 0.843 * [taylor]: Taking taylor expansion of (/ x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.843 * [taylor]: Taking taylor expansion of 1/2 in y 0.843 * [taylor]: Taking taylor expansion of (/ x y) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.843 * [taylor]: Taking taylor expansion of 1/2 in y 0.843 * [taylor]: Taking taylor expansion of (/ x y) in y 0.843 * [taylor]: Taking taylor expansion of x in y 0.843 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.843 * [taylor]: Taking taylor expansion of 1/2 in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.845 * [taylor]: Taking taylor expansion of 0 in x 0.847 * [taylor]: Taking taylor expansion of 0 in x 0.849 * [taylor]: Taking taylor expansion of 0 in x 0.849 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.850 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.850 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.850 * [taylor]: Taking taylor expansion of 1/2 in y 0.850 * [taylor]: Taking taylor expansion of (/ y x) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of x in y 0.850 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.850 * [taylor]: Taking taylor expansion of 1/2 in x 0.850 * [taylor]: Taking taylor expansion of (/ y x) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.850 * [taylor]: Taking taylor expansion of 1/2 in x 0.850 * [taylor]: Taking taylor expansion of (/ y x) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.850 * [taylor]: Taking taylor expansion of 1/2 in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.852 * [taylor]: Taking taylor expansion of 0 in y 0.854 * [taylor]: Taking taylor expansion of 1 in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.862 * [taylor]: Taking taylor expansion of 1/2 in y 0.862 * [taylor]: Taking taylor expansion of (/ x y) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.862 * [taylor]: Taking taylor expansion of 1/2 in x 0.862 * [taylor]: Taking taylor expansion of (/ x y) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.862 * [taylor]: Taking taylor expansion of 1/2 in x 0.862 * [taylor]: Taking taylor expansion of (/ x y) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.864 * [taylor]: Taking taylor expansion of 1/2 in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.868 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.869 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.869 * [taylor]: Taking taylor expansion of 1/2 in y 0.869 * [taylor]: Taking taylor expansion of (/ x y) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.869 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.869 * [taylor]: Taking taylor expansion of 1/2 in x 0.869 * [taylor]: Taking taylor expansion of (/ x y) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.869 * [taylor]: Taking taylor expansion of 1/2 in x 0.869 * [taylor]: Taking taylor expansion of (/ x y) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.869 * [taylor]: Taking taylor expansion of y in x 0.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.869 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of -1 in y 0.871 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.872 * [taylor]: Taking taylor expansion of 1/2 in y 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.877 * * * [progress]: simplifying candidates 0.877 * [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) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.882 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.888 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.910 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.982 * * [simplify]: iteration 3 : 5001 enodes (cost 187 ) 0.984 * [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))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ 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) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.984 * * * [progress]: adding candidates to table 1.054 * [progress]: [Phase 3 of 3] Extracting. 1.054 * * [regime]: Finding splitpoints for: (# # # #) 1.055 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.055 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.072 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.086 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.106 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.117 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.141 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.156 * * * * [regimes]: Trying to branch on y from (# # # #) 1.205 * * * * [regimes]: Trying to branch on x from (# # # #) 1.232 * * * [regime]: Found split indices: #