41.804 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (- x (* y y)) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 10 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 12 enodes (cost 2 ) 0.020 * * [simplify]: iteration 3 : 12 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (- x (* y y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.028 * * * [progress]: generating series expansions 0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.028 * [approximate]: Taking taylor expansion of (- x (pow y 2)) in (x y) around 0 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of x in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- x (pow y 2)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of 1 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.033 * [approximate]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 (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 x) (/ 1 (pow y 2))) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 (pow y 2))) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.035 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (/ 1 x))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.060 * [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)) 0.063 * * [simplify]: iteration 0 : 97 enodes (cost 100 ) 0.066 * * [simplify]: iteration 1 : 288 enodes (cost 88 ) 0.071 * * [simplify]: iteration 2 : 1008 enodes (cost 87 ) 0.093 * * [simplify]: iteration 3 : 4455 enodes (cost 72 ) 0.207 * * [simplify]: iteration 4 : 5001 enodes (cost 72 ) 0.208 * [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)) 0.208 * * * [progress]: adding candidates to table 0.241 * * [progress]: iteration 2 / 4 0.241 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.250 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.262 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.267 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.277 * * * [progress]: generating series expansions 0.277 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.277 * [approximate]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in y 0.277 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.277 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.277 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (* (- (sqrt x) y) (+ y (sqrt x))) in x 0.280 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.283 * [taylor]: Taking taylor expansion of +nan.0 in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.289 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.289 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.289 * [taylor]: Taking taylor expansion of +nan.0 in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.289 * [taylor]: Taking taylor expansion of +nan.0 in y 0.294 * [approximate]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in y 0.294 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.295 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (/ 1 y)) (+ (/ 1 y) (sqrt (/ 1 x)))) in x 0.297 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.311 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.311 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of +nan.0 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of +nan.0 in y 0.320 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.320 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.320 * [taylor]: Taking taylor expansion of +nan.0 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.321 * [taylor]: Taking taylor expansion of +nan.0 in y 0.332 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.332 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.332 * [taylor]: Taking taylor expansion of +nan.0 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.332 * [taylor]: Taking taylor expansion of +nan.0 in y 0.334 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.335 * [taylor]: Taking taylor expansion of -1 in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.335 * [taylor]: Taking taylor expansion of -1 in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.337 * [taylor]: Taking taylor expansion of -1 in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (/ 1 y))) in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.338 * [taylor]: Taking taylor expansion of -1 in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.340 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.340 * [taylor]: Taking taylor expansion of -1 in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (/ 1 (pow y 2)) +nan.0)) in y 0.348 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of +nan.0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) +nan.0) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of +nan.0 in y 0.357 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.357 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.357 * [taylor]: Taking taylor expansion of +nan.0 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.358 * [taylor]: Taking taylor expansion of +nan.0 in y 0.369 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.369 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.369 * [taylor]: Taking taylor expansion of +nan.0 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.370 * [taylor]: Taking taylor expansion of +nan.0 in y 0.372 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.372 * [approximate]: Taking taylor expansion of (- (sqrt x) y) in (x y) around 0 0.372 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in y 0.372 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.372 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of (- (sqrt x) y) in x 0.373 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (- y) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.375 * [taylor]: Taking taylor expansion of +nan.0 in y 0.378 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.378 * [taylor]: Taking taylor expansion of +nan.0 in y 0.382 * [approximate]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (- +nan.0))) in y 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.386 * [taylor]: Taking taylor expansion of +nan.0 in y 0.389 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.389 * [taylor]: Taking taylor expansion of +nan.0 in y 0.394 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.394 * [taylor]: Taking taylor expansion of +nan.0 in y 0.395 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.395 * [taylor]: Taking taylor expansion of -1 in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.396 * [taylor]: Taking taylor expansion of -1 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ -1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.397 * [taylor]: Taking taylor expansion of -1 in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.398 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of +nan.0 in y 0.402 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.402 * [taylor]: Taking taylor expansion of +nan.0 in y 0.406 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.406 * [taylor]: Taking taylor expansion of +nan.0 in y 0.407 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (+ y (sqrt x)) in (x y) around 0 0.407 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.407 * [taylor]: Taking taylor expansion of x in y 0.407 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (+ y (sqrt x)) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.410 * [taylor]: Taking taylor expansion of +nan.0 in y 0.412 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.413 * [taylor]: Taking taylor expansion of +nan.0 in y 0.414 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in (x y) around 0 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.414 * [taylor]: Taking taylor expansion of x in y 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (sqrt (/ 1 x))) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.416 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.416 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (- (/ 1 y) +nan.0) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of +nan.0 in y 0.421 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.421 * [taylor]: Taking taylor expansion of +nan.0 in y 0.425 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.425 * [taylor]: Taking taylor expansion of +nan.0 in y 0.426 * [approximate]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in y 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.426 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.427 * [taylor]: Taking taylor expansion of -1 in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (/ 1 y)) in x 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.428 * [taylor]: Taking taylor expansion of -1 in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (- +nan.0))) in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (- +nan.0)) in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.430 * [taylor]: Taking taylor expansion of +nan.0 in y 0.433 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.433 * [taylor]: Taking taylor expansion of +nan.0 in y 0.438 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.438 * [taylor]: Taking taylor expansion of +nan.0 in y 0.440 * * * [progress]: simplifying candidates 0.442 * [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) (sqrt y))))) (* (+ (sqrt x) y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ (sqrt x) y) (fma (sqrt 1) (sqrt 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 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)) (* (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) (sqrt y)))) (+ (sqrt x) y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ (sqrt x) y)) (* (fma (sqrt 1) (sqrt 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 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)) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (fma (- y) 1 (* y 1)) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (fma (- y) 1 (* y 1)) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* y 1))) (fma (- y) 1 (* y 1)) (fma (sqrt 1) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma (sqrt 1) (sqrt x) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma (sqrt 1) (sqrt x) (- (* y 1))) (fma (- y) 1 (* y 1)) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma (sqrt (sqrt x)) (sqrt (sqrt x)) (- (* y 1))) (fma (- y) 1 (* y 1)) (fma 1 (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma 1 (sqrt x) (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma 1 (sqrt x) (- (* y 1))) (fma (- y) 1 (* y 1)) (expm1 (- (sqrt x) y)) (log1p (- (sqrt x) y)) (- y) (- y) (- y) (- y) (- y) (- y) (/ (exp (sqrt x)) (exp y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (* (* (- (sqrt x) y) (- (sqrt x) y)) (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (+ (* (sqrt x) (sqrt x)) (+ (* y y) (* (sqrt x) y))) (- y) (- (* (sqrt x) (sqrt x)) (* y y)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- y) (expm1 (+ (sqrt x) y)) (log1p (+ (sqrt x) y)) (* (exp (sqrt x)) (exp y)) (log (+ (sqrt x) y)) (exp (+ (sqrt x) y)) (* (cbrt (+ (sqrt x) y)) (cbrt (+ (sqrt x) y))) (cbrt (+ (sqrt x) y)) (* (* (+ (sqrt x) y) (+ (sqrt x) y)) (+ (sqrt x) y)) (sqrt (+ (sqrt x) y)) (sqrt (+ (sqrt x) y)) (+ (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) (+ (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)))))) (- (+ (* +nan.0 (pow x 2)) (- y (* +nan.0 x)))) (- (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) (- (+ +nan.0 (- y (* +nan.0 (/ 1 x))))) (- y (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- y (+ +nan.0 (- (* +nan.0 (/ 1 x))))) (- y (+ +nan.0 (- (* +nan.0 (/ 1 x))))) 0.449 * * [simplify]: iteration 0 : 525 enodes (cost 1442 ) 0.459 * * [simplify]: iteration 1 : 2297 enodes (cost 935 ) 0.499 * * [simplify]: iteration 2 : 5001 enodes (cost 868 ) 0.504 * [simplify]: Simplified to: (expm1 (* (+ (sqrt x) y) (- (sqrt x) y))) (log1p (* (+ (sqrt x) y) (- (sqrt x) y))) (- x (pow y 2)) (log (- x (pow y 2))) (log (- x (pow y 2))) (exp (- x (pow y 2))) (pow (- x (pow y 2)) 3) (* (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y)))) (cbrt (* (+ (sqrt x) y) (- (sqrt x) y))) (pow (- x (pow y 2)) 3) (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))) (* (+ (fma y y (* (sqrt x) y)) x) (+ (* y (- y (sqrt x))) x)) (* (fma x (sqrt x) (pow y 3)) (- x (pow y 2))) (* (fma y (- y (sqrt x)) x) (+ (sqrt x) y)) (* (- x (pow y 2)) (- (pow (sqrt x) 3) (pow y 3))) (fma y (- x (pow y 2)) (* x (- (sqrt x) y))) (* (+ x (- (* y y))) (+ x (- (* y y)))) (- x (pow y 2)) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (sqrt (+ (sqrt x) y)) (sqrt (- (sqrt x) y))) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (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)) (- 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)) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (fma (- y) 1 y) (+ (sqrt x) y)) (* (fma (sqrt (* (cbrt x) (cbrt x))) (sqrt (cbrt x)) (- (* y 1))) (+ (sqrt x) y)) (* (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)) (- 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)))) (- (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x))) y) (fma (- y) 1 y) (- (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x))) y) (fma (- y) 1 y) (- (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (cbrt (sqrt x))) y) (fma (- y) 1 y) (fma (sqrt (cbrt x)) (fabs (cbrt x)) (- y)) (fma (- y) 1 y) (fma (sqrt (cbrt x)) (fabs (cbrt x)) (- y)) (fma (- y) 1 y) (fma (sqrt (cbrt x)) (fabs (cbrt x)) (- y)) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (- (sqrt x) y) (fma (- y) 1 y) (expm1 (- (sqrt x) y)) (log1p (- (sqrt x) y)) (- y) (- y) (- y) (- y) (- y) (- y) (exp (- (sqrt x) y)) (log (- (sqrt x) y)) (exp (- (sqrt x) y)) (* (cbrt (- (sqrt x) y)) (cbrt (- (sqrt x) y))) (cbrt (- (sqrt x) y)) (pow (- (sqrt x) y) 3) (sqrt (- (sqrt x) y)) (sqrt (- (sqrt x) y)) (- (pow (sqrt x) 3) (pow y 3)) (fma y (+ (sqrt x) y) x) (- y) (- x (pow y 2)) (+ (sqrt x) y) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (+ (sqrt (sqrt x)) (sqrt y)) (- (sqrt (sqrt x)) (sqrt y)) (- (sqrt x) y) (- y) (expm1 (+ (sqrt x) y)) (log1p (+ (sqrt x) y)) (exp (+ (sqrt x) y)) (log (+ (sqrt x) y)) (exp (+ (sqrt x) y)) (* (cbrt (+ (sqrt x) y)) (cbrt (+ (sqrt x) y))) (cbrt (+ (sqrt x) y)) (pow (+ (sqrt x) y) 3) (sqrt (+ (sqrt x) y)) (sqrt (+ (sqrt x) y)) (fma x (sqrt x) (pow y 3)) (fma y (- y (sqrt x)) x) (- x (pow y 2)) (- (sqrt x) y) (+ (sqrt x) 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))) (+ (- (fma (pow x 2) +nan.0 y)) (* +nan.0 x)) (+ (- (+ +nan.0 y)) (/ +nan.0 x)) (+ (- (+ +nan.0 y)) (/ +nan.0 x)) (- y (* +nan.0 (- (pow x 2) x))) (- (- y +nan.0) (/ (- +nan.0) x)) (- (- y +nan.0) (/ (- +nan.0) x)) 0.505 * * * [progress]: adding candidates to table 0.660 * * [progress]: iteration 3 / 4 0.660 * * * [progress]: picking best candidate 0.661 * * * * [pick]: Picked # 0.661 * * * [progress]: localizing error 0.667 * * * [progress]: generating rewritten candidates 0.667 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.668 * * * [progress]: generating series expansions 0.668 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.669 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (- (pow y 2))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (- (pow y 2))) in y 0.669 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (- (pow y 2))) 0.669 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in y 0.669 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.669 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (- (pow y 2))) in x 0.669 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (- (pow y 2))) 0.669 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 0.669 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (- (pow y 2))) in x 0.672 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (- (pow y 2))) 0.672 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 0.672 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (- (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.681 * [taylor]: Taking taylor expansion of +nan.0 in y 0.690 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.690 * [taylor]: Taking taylor expansion of +nan.0 in y 0.692 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (- (/ 1 (pow y 2)))) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (- (/ 1 (pow y 2)))) in y 0.692 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (- (/ 1 (pow y 2)))) 0.692 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in y 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (- (/ 1 (pow y 2)))) in x 0.693 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (- (/ 1 (pow y 2)))) 0.693 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (- (/ 1 (pow y 2)))) in x 0.696 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (- (/ 1 (pow y 2)))) 0.696 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 0.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (- +nan.0))) in y 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (- +nan.0)) in y 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.706 * [taylor]: Taking taylor expansion of +nan.0 in y 0.718 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.718 * [taylor]: Taking taylor expansion of +nan.0 in y 0.731 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.731 * [taylor]: Taking taylor expansion of +nan.0 in y 0.745 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.745 * [taylor]: Taking taylor expansion of +nan.0 in y 0.747 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (- (/ 1 (pow y 2)))) in (x y) around 0 0.747 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (- (/ 1 (pow y 2)))) in y 0.747 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (- (/ 1 (pow y 2)))) 0.747 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in y 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.747 * [taylor]: Taking taylor expansion of -1 in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.747 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.747 * [taylor]: Taking taylor expansion of -1 in y 0.747 * [taylor]: Taking taylor expansion of x in y 0.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.747 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (- (/ 1 (pow y 2)))) in x 0.748 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (- (/ 1 (pow y 2)))) 0.748 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.748 * [taylor]: Taking taylor expansion of -1 in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.750 * [taylor]: Taking taylor expansion of -1 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (- (/ 1 (pow y 2)))) in x 0.751 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (- (/ 1 (pow y 2)))) 0.751 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 0.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.754 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.754 * [taylor]: Taking taylor expansion of y in x 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) (- +nan.0))) in y 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (- +nan.0)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.762 * [taylor]: Taking taylor expansion of +nan.0 in y 0.771 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.771 * [taylor]: Taking taylor expansion of +nan.0 in y 0.784 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.784 * [taylor]: Taking taylor expansion of +nan.0 in y 0.801 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.801 * [taylor]: Taking taylor expansion of +nan.0 in y 0.802 * * * [progress]: simplifying candidates 0.802 * [simplify]: Simplifying using # : (expm1 (fma (sqrt x) (sqrt x) (- (* y y)))) (log1p (fma (sqrt x) (sqrt x) (- (* y y)))) (* (sqrt x) (sqrt x)) (log (fma (sqrt x) (sqrt x) (- (* y y)))) (exp (fma (sqrt x) (sqrt x) (- (* y y)))) (* (cbrt (fma (sqrt x) (sqrt x) (- (* y y)))) (cbrt (fma (sqrt x) (sqrt x) (- (* y y))))) (cbrt (fma (sqrt x) (sqrt x) (- (* y y)))) (* (* (fma (sqrt x) (sqrt x) (- (* y y))) (fma (sqrt x) (sqrt x) (- (* y y)))) (fma (sqrt x) (sqrt x) (- (* y y)))) (sqrt (fma (sqrt x) (sqrt x) (- (* y y)))) (sqrt (fma (sqrt x) (sqrt x) (- (* y y)))) (- (+ (* +nan.0 (pow x 2)) (- (pow y 2) (* +nan.0 (pow x 3))))) (- (+ +nan.0 (- (pow y 2) (* +nan.0 (/ 1 x))))) (- (+ +nan.0 (- (pow y 2) (* +nan.0 (/ 1 x))))) 0.805 * * [simplify]: iteration 0 : 73 enodes (cost 92 ) 0.807 * * [simplify]: iteration 1 : 218 enodes (cost 80 ) 0.812 * * [simplify]: iteration 2 : 1008 enodes (cost 71 ) 0.840 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.841 * [simplify]: Simplified to: (expm1 (fma (sqrt x) (sqrt x) (- (* y y)))) (log1p (fma (sqrt x) (sqrt x) (- (* y y)))) x (log (fma (sqrt x) (sqrt x) (- (* y y)))) (/ (exp x) (exp (pow y 2))) (* (cbrt (fma (sqrt x) (sqrt x) (- (* y y)))) (cbrt (fma (sqrt x) (sqrt x) (- (* y y))))) (cbrt (fma (sqrt x) (sqrt x) (- (* y y)))) (pow (- x (pow y 2)) 3) (sqrt (fma (sqrt x) (sqrt x) (- (* y y)))) (sqrt (fma (sqrt x) (sqrt x) (- (* y y)))) (fma (- y) y (* +nan.0 (- (pow x 3) (pow x 2)))) (+ (- (fma y y +nan.0)) (/ +nan.0 x)) (+ (- (fma y y +nan.0)) (/ +nan.0 x)) 0.841 * * * [progress]: adding candidates to table 0.864 * [progress]: [Phase 3 of 3] Extracting. 0.864 * * [regime]: Finding splitpoints for: (# # #) 0.865 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (- x (* y y)) y x) 0.865 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.876 * * * * [regimes]: Trying to branch on (- x (* y y)) from (# # #) 0.891 * * * * [regimes]: Trying to branch on y from (# # #) 0.903 * * * * [regimes]: Trying to branch on x from (# # #) 0.915 * * * [regime]: Found split indices: #