14.226 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.019 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.038 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.039 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.040 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.040 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of 1/2 in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.062 * [taylor]: Taking taylor expansion of 1/2 in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.068 * [taylor]: Taking taylor expansion of -1/8 in y 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.070 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.082 * [taylor]: Taking taylor expansion of -1/2 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of -1/8 in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.090 * * * [progress]: simplifying candidates 0.090 * [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)))) 0.095 * * [simplify]: iteration 0 : 116 enodes (cost 95 ) 0.099 * * [simplify]: iteration 1 : 334 enodes (cost 90 ) 0.108 * * [simplify]: iteration 2 : 997 enodes (cost 89 ) 0.137 * * [simplify]: iteration 3 : 3969 enodes (cost 87 ) 0.259 * * [simplify]: iteration 4 : 5002 enodes (cost 87 ) 0.261 * [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)))) 0.261 * * * [progress]: adding candidates to table 0.302 * * [progress]: iteration 2 / 4 0.302 * * * [progress]: picking best candidate 0.305 * * * * [pick]: Picked # 0.305 * * * [progress]: localizing error 0.311 * * * [progress]: generating rewritten candidates 0.311 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.314 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.314 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.315 * [taylor]: Taking taylor expansion of 1/2 in y 0.315 * [taylor]: Taking taylor expansion of (/ y x) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [taylor]: Taking taylor expansion of (/ y x) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.315 * [taylor]: Taking taylor expansion of 1/2 in x 0.315 * [taylor]: Taking taylor expansion of (/ y x) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.315 * [taylor]: Taking taylor expansion of 1/2 in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.323 * [taylor]: Taking taylor expansion of 1/2 in y 0.323 * [taylor]: Taking taylor expansion of (/ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.323 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of (/ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of (/ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (/ x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (/ x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of 1/2 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * * * [progress]: simplifying candidates 0.341 * [simplify]: Simplifying using # : (* (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))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.345 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 0.349 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 0.358 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 0.386 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 0.468 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 0.469 * [simplify]: Simplified to: (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))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.469 * * * [progress]: adding candidates to table 0.492 * * [progress]: iteration 3 / 4 0.492 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.499 * * * [progress]: generating rewritten candidates 0.499 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.503 * * * [progress]: generating series expansions 0.503 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.503 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.503 * [taylor]: Taking taylor expansion of 1/2 in y 0.503 * [taylor]: Taking taylor expansion of (/ y x) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.503 * [taylor]: Taking taylor expansion of 1/2 in x 0.503 * [taylor]: Taking taylor expansion of (/ y x) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.503 * [taylor]: Taking taylor expansion of 1/2 in x 0.503 * [taylor]: Taking taylor expansion of (/ y x) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.504 * [taylor]: Taking taylor expansion of 1/2 in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 1 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.516 * [taylor]: Taking taylor expansion of 1/2 in y 0.516 * [taylor]: Taking taylor expansion of (/ x y) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.516 * [taylor]: Taking taylor expansion of 1/2 in x 0.516 * [taylor]: Taking taylor expansion of (/ x y) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.517 * [taylor]: Taking taylor expansion of 1/2 in x 0.517 * [taylor]: Taking taylor expansion of (/ x y) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 1 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.519 * [taylor]: Taking taylor expansion of 1/2 in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.525 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.525 * [taylor]: Taking taylor expansion of 1/2 in y 0.525 * [taylor]: Taking taylor expansion of (/ x y) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.525 * [taylor]: Taking taylor expansion of 1/2 in x 0.525 * [taylor]: Taking taylor expansion of (/ x y) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.525 * [taylor]: Taking taylor expansion of 1/2 in x 0.525 * [taylor]: Taking taylor expansion of (/ x y) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of -1 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of 1/2 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.535 * * * [progress]: simplifying candidates 0.535 * [simplify]: Simplifying using # : (* (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))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.539 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 0.543 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 0.553 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 0.582 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 0.664 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 0.665 * [simplify]: Simplified to: (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))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.665 * * * [progress]: adding candidates to table 0.687 * [progress]: [Phase 3 of 3] Extracting. 0.687 * * [regime]: Finding splitpoints for: (# # #) 0.687 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.687 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.704 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.726 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.747 * * * * [regimes]: Trying to branch on y from (# # #) 0.778 * * * * [regimes]: Trying to branch on x from (# # #) 0.804 * * * [regime]: Found split indices: #