31.978 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying using # : (sqrt.f64 (+.f64 (*.f64 x x) y)) 0.099 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.099 * * [simplify]: iteration 1 : 7 enodes (cost 9 ) 0.100 * [simplify]: Simplified to: (sqrt.f64 (+.f64 (*.f64 x x) y)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.111 * * * [progress]: generating rewritten candidates 0.111 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.115 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.123 * [taylor]: Taking taylor expansion of 1/2 in y 0.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.130 * [taylor]: Taking taylor expansion of 1/2 in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.135 * [taylor]: Taking taylor expansion of -1/8 in y 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.141 * [taylor]: Taking taylor expansion of -1/2 in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of -1/8 in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.147 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.156 * [taylor]: Taking taylor expansion of x in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.157 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * * * [progress]: simplifying candidates 0.163 * [simplify]: Simplifying using # : (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (/.f64 1 2) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x x) y)))) (sqrt.f64 1) (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) y)) (cbrt.f64 (+.f64 (*.f64 x x) y)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (+.f64 (*.f64 x x) y))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 x x) y) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x x) y))) (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y)) (*.f64 (*.f64 (+.f64 (*.f64 x x) y) (+.f64 (*.f64 x x) y)) (+.f64 (*.f64 x x) y)) (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) y)) (cbrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (+.f64 (*.f64 x x) y)) (exp.f64 (+.f64 (*.f64 x x) y)) (log.f64 (+.f64 (*.f64 x x) y)) (*.f64 (exp.f64 (*.f64 x x)) (exp.f64 y)) (+.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 y 2)) (+.f64 (*.f64 NAN.f64 y) (*.f64 1/2 (*.f64 (pow.f64 x 2) NAN.f64)))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (neg.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (+.f64 (pow.f64 x 2) y) (+.f64 (pow.f64 x 2) y) (+.f64 (pow.f64 x 2) y) 0.252 * * [simplify]: iteration 0 : 5662 enodes (cost 392 ) 0.256 * [simplify]: Simplified to: (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) 1/2 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))) 1 (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (fabs.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (-.f64 (pow.f64 x 4) (*.f64 y y)) (-.f64 (*.f64 x x) y) (+.f64 (pow.f64 x 6) (pow.f64 y 3)) (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x)))) (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y)) (pow.f64 (+.f64 (*.f64 x x) y) 3) (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) y)) (cbrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (+.f64 (*.f64 x x) y)) (exp.f64 (+.f64 (*.f64 x x) y)) (log.f64 (+.f64 (*.f64 x x) y)) (exp.f64 (+.f64 (*.f64 x x) y)) (+.f64 (*.f64 (*.f64 y y) (pow.f64 (NAN.f64) 3)) (*.f64 (NAN.f64) (+.f64 y (*.f64 (*.f64 x x) 1/2)))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (-.f64 (*.f64 y (/.f64 -1/2 x)) x) (+.f64 (*.f64 x x) y) (+.f64 (*.f64 x x) y) (+.f64 (*.f64 x x) y) 0.257 * * * [progress]: adding candidates to table