17.771 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.047 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.049 * * [simplify]: iteration 1 : 18 enodes (cost 3 ) 0.050 * * [simplify]: iteration 2 : 35 enodes (cost 3 ) 0.051 * * [simplify]: iteration 3 : 67 enodes (cost 3 ) 0.053 * * [simplify]: iteration 4 : 163 enodes (cost 3 ) 0.056 * * [simplify]: iteration 5 : 294 enodes (cost 3 ) 0.060 * * [simplify]: iteration 6 : 541 enodes (cost 3 ) 0.070 * * [simplify]: iteration 7 : 2138 enodes (cost 3 ) 0.128 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.129 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.138 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.173 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.176 * * [simplify]: iteration 0 : 102 enodes (cost 97 ) 0.179 * * [simplify]: iteration 1 : 416 enodes (cost 87 ) 0.185 * * [simplify]: iteration 2 : 1403 enodes (cost 84 ) 0.212 * * [simplify]: iteration 3 : 5002 enodes (cost 80 ) 0.213 * [simplify]: Simplified to: (- (* x x) (* y y)) 0 (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (fma (- (pow y 5)) y (pow x 6)) (fma y (* y (fma x x (* y y))) (pow x 4)) (- (* y y)) (fma (- (pow y 3)) y (pow x 4)) (fma x x (* y y)) (+ x y) (- x y) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.213 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.249 * * * [progress]: picking best candidate 0.251 * * * * [pick]: Picked # 0.251 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.276 * * * [progress]: generating series expansions 0.276 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.276 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.276 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.276 * [taylor]: Taking taylor expansion of (+ x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (- x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.276 * [taylor]: Taking taylor expansion of (+ x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (- x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.276 * [taylor]: Taking taylor expansion of (+ x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (- x y) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of y in x 0.276 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of -1 in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.298 * [taylor]: Taking taylor expansion of -1 in y 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.299 * [taylor]: Taking taylor expansion of -1 in x 0.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.300 * [taylor]: Taking taylor expansion of -1 in x 0.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of 1 in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.317 * * * [progress]: simplifying candidates 0.318 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma 1 x (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma 1 x (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.323 * * [simplify]: iteration 0 : 349 enodes (cost 495 ) 0.329 * * [simplify]: iteration 1 : 1721 enodes (cost 354 ) 0.358 * * [simplify]: iteration 2 : 5002 enodes (cost 354 ) 0.363 * [simplify]: Simplified to: (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (- x y) (+ x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (fma x x (fma y y (* x y))) (fma x x (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma y (- y x) (pow x 2)) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (fma x x (fma y y (* x y))) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* (- x y) (+ x y)) (* (fma (- y) 1 y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) 0.364 * * * [progress]: adding candidates to table 0.443 * * [progress]: iteration 3 / 4 0.443 * * * [progress]: picking best candidate 0.444 * * * * [pick]: Picked # 0.444 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.450 * [approximate]: Taking taylor expansion of (fma x x (- (pow y 2))) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in y 0.450 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of (* x x) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in x 0.450 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of (* x x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (fma x x (- (pow y 2))) in x 0.450 * [taylor]: Rewrote expression to (+ (* x x) (- (pow y 2))) 0.450 * [taylor]: Taking taylor expansion of (* x x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of 1 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in (x y) around 0 0.458 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in y 0.458 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.458 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in x 0.459 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.459 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (- (/ 1 (pow y 2)))) in x 0.460 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (- (/ 1 (pow y 2)))) 0.460 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.460 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.460 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of 1 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in y 0.472 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in x 0.473 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.473 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (- (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (- (/ 1 (pow y 2)))) 0.474 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of 1 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.487 * * * [progress]: simplifying candidates 0.487 * [simplify]: Simplifying using # : (expm1 (fma x x (- (* y y)))) (log1p (fma x x (- (* y y)))) (* x x) (log (fma x x (- (* y y)))) (exp (fma x x (- (* y y)))) (* (cbrt (fma x x (- (* y y)))) (cbrt (fma x x (- (* y y))))) (cbrt (fma x x (- (* y y)))) (* (* (fma x x (- (* y y))) (fma x x (- (* y y)))) (fma x x (- (* y y)))) (sqrt (fma x x (- (* y y)))) (sqrt (fma x x (- (* y y)))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.493 * * [simplify]: iteration 0 : 31 enodes (cost 58 ) 0.495 * * [simplify]: iteration 1 : 84 enodes (cost 51 ) 0.497 * * [simplify]: iteration 2 : 277 enodes (cost 51 ) 0.502 * * [simplify]: iteration 3 : 1347 enodes (cost 51 ) 0.546 * * [simplify]: iteration 4 : 5002 enodes (cost 51 ) 0.547 * [simplify]: Simplified to: (expm1 (fma x x (- (* y y)))) (log1p (fma x x (- (* y y)))) (pow x 2) (log (fma x x (- (* y y)))) (exp (fma x x (- (* y y)))) (* (cbrt (fma x x (- (* y y)))) (cbrt (fma x x (- (* y y))))) (cbrt (fma x x (- (* y y)))) (pow (- (pow x 2) (pow y 2)) 3) (sqrt (fma x x (- (* y y)))) (sqrt (fma x x (- (* y y)))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.547 * * * [progress]: adding candidates to table 0.572 * [progress]: [Phase 3 of 3] Extracting. 0.572 * * [regime]: Finding splitpoints for: (# #) 0.572 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.572 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.581 * * * * [regimes]: Trying to branch on y from (# #) 0.593 * * * * [regimes]: Trying to branch on x from (# #) 0.604 * * * [regime]: Found split indices: #