9.397 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- x (* y y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.023 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.025 * * [simplify]: iteration 3 : 12 enodes (cost 2 ) 0.025 * [simplify]: Simplified to: (- x (* y y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of 1 in y 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * * * [progress]: simplifying candidates 0.068 * [simplify]: Simplifying using # : (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y y))) (fma (- y) y (* y y)) (fma (sqrt x) (sqrt x) (- (* y y))) (fma (- y) y (* y y)) (fma 1 x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (/ (exp x) (exp (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (* (* (- x (* y y)) (- x (* y y))) (- x (* y y))) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (+ (* x x) (+ (* (* y y) (* y y)) (* x (* y y)))) (- (* y y)) (- (* x x) (* (* y y) (* y y))) (+ x (* y y)) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.072 * * [simplify]: iteration 0 : 97 enodes (cost 100 ) 0.074 * * [simplify]: iteration 1 : 288 enodes (cost 88 ) 0.080 * * [simplify]: iteration 2 : 1008 enodes (cost 87 ) 0.103 * * [simplify]: iteration 3 : 4455 enodes (cost 72 ) 0.221 * * [simplify]: iteration 4 : 5001 enodes (cost 72 ) 0.222 * [simplify]: Simplified to: (- x (pow y 2)) 0 (- x (pow y 2)) 0 (- x (pow y 2)) 0 (expm1 (- x (* y y))) (log1p (- x (* y y))) (- (* y y)) (- (* y y)) (- (* y y)) (exp (- x (* y y))) (log (- x (* y y))) (exp (- x (* y y))) (* (cbrt (- x (* y y))) (cbrt (- x (* y y)))) (cbrt (- x (* y y))) (pow (- x (pow y 2)) 3) (sqrt (- x (* y y))) (sqrt (- x (* y y))) (- (pow x 3) (pow (* y y) 3)) (fma x (fma y y x) (pow y 4)) (- (* y y)) (* (- x (pow y 2)) (fma y y x)) (fma y y x) (+ (sqrt x) y) (- (sqrt x) y) (- (* y y)) (- x (pow y 2)) (- x (pow y 2)) (- x (pow y 2)) 0.222 * * * [progress]: adding candidates to table 0.261 * * [progress]: iteration 2 / 4 0.261 * * * [progress]: picking best candidate 0.265 * * * * [pick]: Picked # 0.265 * * * [progress]: localizing error 0.271 * * * [progress]: generating rewritten candidates 0.271 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.306 * * * [progress]: generating series expansions 0.306 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.307 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 0.307 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.307 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.307 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.310 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.310 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of -1 in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 0.314 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.314 * [taylor]: Taking taylor expansion of +nan.0 in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.320 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.320 * [taylor]: Taking taylor expansion of +nan.0 in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.320 * [taylor]: Taking taylor expansion of +nan.0 in y 0.325 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.325 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.329 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.339 * [taylor]: Taking taylor expansion of +nan.0 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of +nan.0 in y 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.352 * [taylor]: Taking taylor expansion of +nan.0 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.352 * [taylor]: Taking taylor expansion of +nan.0 in y 0.364 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.364 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.364 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.364 * [taylor]: Taking taylor expansion of +nan.0 in y 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.364 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.365 * [taylor]: Taking taylor expansion of +nan.0 in y 0.367 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.367 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.367 * [taylor]: Taking taylor expansion of -1 in y 0.367 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.369 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.369 * [taylor]: Taking taylor expansion of -1 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.372 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.381 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.381 * [taylor]: Taking taylor expansion of +nan.0 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of +nan.0 in y 0.391 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.391 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.391 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of +nan.0 in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.391 * [taylor]: Taking taylor expansion of +nan.0 in y 0.404 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.404 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.404 * [taylor]: Taking taylor expansion of +nan.0 in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.404 * [taylor]: Taking taylor expansion of +nan.0 in y 0.406 * * * [progress]: simplifying candidates 0.408 * [simplify]: Simplifying using # : (expm1 (* (+ (sqrt x) y) (- (sqrt x) y))) (log1p (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (sqrt x) y) (- (sqrt x) y)) (+ (log (+ (sqrt x) y)) (log (- (sqrt x) y))) (log (* (+ (sqrt x) y) (- (sqrt x) y))) (exp (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (+ (sqrt x) y)) (+ (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y))) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (* (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (sqrt (* (+ (sqrt x) y) (- (sqrt x) y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (* (sqrt x) (sqrt x)) (- (* y y) (* (sqrt x) y))) (+ (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (pow (sqrt x) 3) (pow y 3))) (* (- (sqrt x) y) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y)))) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (* (sqrt x) (sqrt x)) (* y y))) (* (- (sqrt x) y) (+ (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ (sqrt x) y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ (sqrt x) y) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* (sqrt y) (sqrt y))))) (* (+ (sqrt x) y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ (sqrt x) y) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1)))) (* (+ (sqrt x) y) (fma (- y) 1 (* y 1))) (* (+ (sqrt x) y) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ (sqrt x) y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ (sqrt x) y) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* (sqrt y) (sqrt y))))) (* (+ (sqrt x) y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ (sqrt x) y) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1)))) (* (+ (sqrt x) y) (fma (- y) 1 (* y 1))) (* (+ (sqrt x) y) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ (sqrt x) y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ (sqrt x) y) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (sqrt y) (sqrt y))))) (* (+ (sqrt x) y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ (sqrt x) y) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* y 1)))) (* (+ (sqrt x) y) (fma (- y) 1 (* y 1))) (* (+ (sqrt x) y) (fma (sqrt 1) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ (sqrt x) y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ (sqrt x) y) (fma (sqrt 1) (sqrt x) (- (* (sqrt y) 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(* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ (sqrt x) y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ (sqrt x) y)) (* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (sqrt y) (sqrt y)))) (+ (sqrt x) y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ (sqrt x) y)) (* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 (* y 1)) (+ (sqrt x) y)) (* (fma 1 (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ (sqrt x) y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ (sqrt x) y)) (* (fma 1 (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ (sqrt x) y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ (sqrt x) y)) (* (fma 1 (sqrt x) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 (* y 1)) (+ (sqrt x) y)) (* (sqrt x) (+ (sqrt x) y)) (* (- y) (+ (sqrt x) y)) (* (sqrt x) (+ (sqrt x) y)) (* (- y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (* (+ (sqrt x) y) 1) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) 1) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (sqrt x) y)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ (sqrt x) y) (- (* (sqrt x) (sqrt x)) (* y y))) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (* (sqrt x) (sqrt x)) (* y y)) (- (sqrt x) y)) (- (+ (* +nan.0 (pow x 2)) (- (pow y 2) (* +nan.0 (* x y))))) (- (+ (pow y 2) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (pow y 2) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) 0.414 * * [simplify]: iteration 0 : 462 enodes (cost 1026 ) 0.423 * * [simplify]: iteration 1 : 2109 enodes (cost 673 ) 0.463 * * [simplify]: iteration 2 : 5001 enodes (cost 621 ) 0.466 * [simplify]: Simplified to: (expm1 (* (+ (sqrt x) y) (- (sqrt x) y))) (log1p 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2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (- x (pow y 2)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (fma y (sqrt x) x) (* (- y) (+ (sqrt x) y)) (fma y (sqrt x) x) (* (- y) (+ (sqrt x) y)) (* (+ (sqrt x) y) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y)))) (* (+ (sqrt x) y) (sqrt (- (sqrt x) y))) (+ (sqrt x) y) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (* (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y))) (+ (sqrt x) y) (* (cbrt (+ (sqrt x) y)) (- (sqrt x) y)) (* (sqrt (+ (sqrt x) y)) (- (sqrt x) y)) (- x (pow y 2)) (- x (pow y 2)) (* (+ (sqrt x) y) (- (pow (sqrt x) 3) (pow y 3))) (* (+ x (- (* y y))) (+ (sqrt x) y)) (* (+ (pow (sqrt x) 3) (pow y 3)) (- (sqrt x) y)) (* (- (sqrt x) y) (+ x (- (* y y)))) (- (- (* +nan.0 (pow x 2))) (* y (- y (* +nan.0 x)))) (fma (- y) y (* +nan.0 (- (/ y x) y))) (fma (- y) y (* +nan.0 (- (/ y x) y))) 0.466 * * * [progress]: adding candidates to table 0.556 * [progress]: [Phase 3 of 3] Extracting. 0.556 * * [regime]: Finding splitpoints for: (# #) 0.556 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.556 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.567 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# #) 0.582 * * * * [regimes]: Trying to branch on y from (# #) 0.593 * * * * [regimes]: Trying to branch on x from (# #) 0.604 * * * [regime]: Found split indices: #