23.826 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.015 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) 0.017 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.021 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) 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 1.0 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) 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 0.053 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [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 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.067 * [taylor]: Taking taylor expansion of -1 in y 0.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.069 * [taylor]: Taking taylor expansion of -1 in x 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.069 * [taylor]: Taking taylor expansion of -1 in y 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of 1.0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.091 * * * [progress]: simplifying candidates 0.092 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.092 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 (* h2 h2))) (+ (log h0) (log (+ h1 (* h2 h2)))) (log (* h0 (+ h1 (* h2 h2)))) (exp (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 h0) h0) (* (* (+ h1 (* h2 h2)) (+ h1 (* h2 h2))) (+ h1 (* h2 h2)))) (* (cbrt (* h0 (+ h1 (* h2 h2)))) (cbrt (* h0 (+ h1 (* h2 h2))))) (cbrt (* h0 (+ h1 (* h2 h2)))) (* (* (* h0 (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2)))) (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (sqrt (* h0 (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* (sqrt h0) (sqrt (+ h1 (* h2 h2)))) (* h0 h1) (* h0 (* h2 h2)) (* h1 h0) (* (* h2 h2) h0) (* h0 (* (cbrt (+ h1 (* h2 h2))) (cbrt (+ h1 (* h2 h2))))) (* h0 (sqrt (+ h1 (* h2 h2)))) (* h0 1) (* (cbrt h0) (+ h1 (* h2 h2))) (* (sqrt h0) (+ h1 (* h2 h2))) (* h0 (+ h1 (* h2 h2))) (* h0 (+ (pow h1 3) (pow (* h2 h2) 3))) (* h0 (- (* h1 h1) (* (* h2 h2) (* h2 h2)))) (* h1 h0) (+ (* h0 (pow h2 2)) (* h1 h0)) (+ (* h0 (pow h2 2)) (* h1 h0)) 0.095 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.098 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.111 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.166 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.167 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.167 * * * [progress]: adding candidates to table 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.224 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.297 * * * [progress]: generating series expansions 0.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.297 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.298 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of 1.0 in y 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.299 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) 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 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 1.0 in y 0.327 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.339 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 1.0 in y 0.352 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.365 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 1.0 in y 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.367 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 1.0 in y 0.377 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1.0 in y 0.378 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 1.0 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 1.0 in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.384 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 1.0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.400 * [taylor]: Taking taylor expansion of -1 in y 0.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 1.0 in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.401 * [taylor]: Taking taylor expansion of 1.0 in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.401 * [taylor]: Taking taylor expansion of -1 in x 0.401 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.401 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of 1.0 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.402 * [taylor]: Taking taylor expansion of -1 in y 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.433 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.433 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.433 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.436 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [taylor]: Taking taylor expansion of 0 in y 0.441 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 1.0 in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of 1.0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.461 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.461 * [taylor]: Taking taylor expansion of -1 in y 0.461 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of -1 in x 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of 1.0 in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.467 * [taylor]: Taking taylor expansion of -1 in y 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.489 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.491 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (+ (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (+ (log (* h2 (sqrt (+ h0 (* h1 h1))))) (log (sqrt (+ h0 (* h1 h1))))) (log (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (exp (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (sqrt (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (sqrt (- h0 (* h1 h1))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (sqrt (- h0 (* h1 h1))) (sqrt (- h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt 1)) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) 1) (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* (* h2 (sqrt (+ h0 (* h1 h1)))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (* (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (+ (log h2) (log (sqrt (+ h0 (* h1 h1))))) (log (* h2 (sqrt (+ h0 (* h1 h1))))) (exp (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 h2) h2) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1))))) (* (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1)))))) (cbrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (* (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (sqrt (* h2 (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (sqrt h2) (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt 1)) (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 1) (* (cbrt h2) (sqrt (+ h0 (* h1 h1)))) (* (sqrt h2) (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ h0 (* h1 h1)))) (* h2 (sqrt (+ (pow h0 3) (pow (* h1 h1) 3)))) (* h2 (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h0 h2) (+ (* h2 (pow h1 2)) (* h0 h2)) (+ (* h2 (pow h1 2)) (* h0 h2)) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 0.497 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.504 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.533 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.536 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.536 * * * [progress]: adding candidates to table 0.752 * * [progress]: iteration 3 / 4 0.752 * * * [progress]: picking best candidate 0.759 * * * * [pick]: Picked # 0.759 * * * [progress]: localizing error 0.769 * * * [progress]: generating rewritten candidates 0.769 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.784 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.846 * * * [progress]: generating series expansions 0.846 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.846 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 1.0 in y 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.848 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.848 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of 1.0 in y 0.861 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of 1.0 in y 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 1.0 in y 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.876 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of 1.0 in y 0.886 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.886 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.886 * [taylor]: Taking taylor expansion of y in y 0.886 * [taylor]: Taking taylor expansion of 1.0 in y 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.887 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of 1.0 in y 0.899 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of 1.0 in y 0.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of 1.0 in y 0.912 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of 1.0 in y 0.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.914 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of 1.0 in y 0.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.931 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.931 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 1.0 in y 0.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.932 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 1.0 in y 0.944 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of 1.0 in y 0.946 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.946 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of 1.0 in y 0.957 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.957 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of 1.0 in y 0.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of 1.0 in y 0.969 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.970 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.970 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.970 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of 1.0 in y 0.971 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.971 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.972 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of 1.0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.978 * [taylor]: Taking taylor expansion of 1.0 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.980 * [taylor]: Taking taylor expansion of x in y 0.980 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.981 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of 1.0 in y 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.993 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.998 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.998 * [taylor]: Taking taylor expansion of -1 in y 0.998 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.998 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [taylor]: Taking taylor expansion of 1.0 in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.000 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.001 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 1.003 * [taylor]: Taking taylor expansion of -1 in y 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.003 * [taylor]: Taking taylor expansion of y in y 1.003 * [taylor]: Taking taylor expansion of 1.0 in y 1.006 * [taylor]: Taking taylor expansion of 0 in y 1.009 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.028 * [taylor]: Taking taylor expansion of 0 in y 1.029 * * * [progress]: simplifying candidates 1.030 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (+ (+ (log x) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (+ (log (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (log (sqrt (sqrt (+ 1.0 (* y y)))))) (log (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (exp (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x x) x) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (- 1.0 (* y y)))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt 1))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt 1)) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) 1) (* (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (sqrt (sqrt (+ 1.0 (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.031 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (+ (+ (log h2) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (+ (log (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (sqrt (sqrt (+ h0 (* h1 h1)))))) (log (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (exp (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 h2) h2) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* h2 (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))))) (cbrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (sqrt (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1)))))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (sqrt (sqrt (- h0 (* h1 h1)))) (sqrt (sqrt (- h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (* (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt 1))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt 1)) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (sqrt (+ h0 (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) 1) (* (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (* (* h2 (sqrt (sqrt (+ h0 (* h1 h1))))) (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (* (* h2 (sqrt (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (* (* h2 (sqrt (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))))) (sqrt (sqrt (+ h0 (* h1 h1))))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h3 (/ 1 h1))) (* h4 (/ 1 (pow h1 3)))) (- (* h4 (/ 1 (pow h1 3))) (+ h1 (* h3 (/ 1 h1)))) (* h2 (sqrt h0)) (+ (* h3 (/ h2 h1)) (* h2 h1)) (- (+ (* h3 (/ h2 h1)) (* h2 h1))) 1.036 * * [simplify]: iteration 0 : 298 enodes (cost 736 ) 1.042 * * [simplify]: iteration 1 : 1063 enodes (cost 653 ) 1.064 * * [simplify]: iteration 2 : 4704 enodes (cost 639 ) 1.154 * * [simplify]: iteration 3 : 5001 enodes (cost 639 ) 1.157 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (pow (exp x) (sqrt (+ 1.0 (* y y)))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y))))))) (cbrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (sqrt (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))) (* (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) x) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (sqrt (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (sqrt (sqrt (- 1.0 (* y y))))) (* (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) x) (sqrt (- 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (cbrt (sqrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (sqrt (+ 1.0 (* y y))))))) (* x (* (sqrt (sqrt (+ 1.0 (* y y)))) (fabs (cbrt (sqrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (+ 1.0 (* y y))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ (pow 1.0 3) (pow (* y y) 3))))) (* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 1.157 * * * [progress]: adding candidates to table 1.423 * * [progress]: iteration 4 / 4 1.423 * * * [progress]: picking best candidate 1.428 * * * * [pick]: Picked # 1.428 * * * [progress]: localizing error 1.439 * * * [progress]: generating rewritten candidates 1.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.460 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.467 * * * [progress]: generating series expansions 1.467 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.467 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.467 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.467 * [taylor]: Taking taylor expansion of y in y 1.467 * [taylor]: Taking taylor expansion of 1.0 in y 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.469 * [taylor]: Taking taylor expansion of y in y 1.469 * [taylor]: Taking taylor expansion of 1.0 in y 1.481 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.481 * [taylor]: Taking taylor expansion of y in y 1.482 * [taylor]: Taking taylor expansion of 1.0 in y 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.483 * [taylor]: Taking taylor expansion of y in y 1.484 * [taylor]: Taking taylor expansion of 1.0 in y 1.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.494 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.494 * [taylor]: Taking taylor expansion of y in y 1.494 * [taylor]: Taking taylor expansion of 1.0 in y 1.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.496 * [taylor]: Taking taylor expansion of y in y 1.496 * [taylor]: Taking taylor expansion of 1.0 in y 1.506 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.506 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.506 * [taylor]: Taking taylor expansion of y in y 1.506 * [taylor]: Taking taylor expansion of 1.0 in y 1.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.507 * [taylor]: Taking taylor expansion of y in y 1.507 * [taylor]: Taking taylor expansion of 1.0 in y 1.520 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.520 * [taylor]: Taking taylor expansion of y in y 1.520 * [taylor]: Taking taylor expansion of 1.0 in y 1.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.522 * [taylor]: Taking taylor expansion of y in y 1.522 * [taylor]: Taking taylor expansion of 1.0 in y 1.538 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.538 * [taylor]: Taking taylor expansion of y in y 1.539 * [taylor]: Taking taylor expansion of 1.0 in y 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.540 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.540 * [taylor]: Taking taylor expansion of y in y 1.541 * [taylor]: Taking taylor expansion of 1.0 in y 1.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.551 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.551 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.551 * [taylor]: Taking taylor expansion of y in y 1.551 * [taylor]: Taking taylor expansion of 1.0 in y 1.552 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.552 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [taylor]: Taking taylor expansion of 1.0 in y 1.564 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.564 * [taylor]: Taking taylor expansion of y in y 1.564 * [taylor]: Taking taylor expansion of 1.0 in y 1.566 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.566 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [taylor]: Taking taylor expansion of 1.0 in y 1.576 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.576 * [taylor]: Taking taylor expansion of y in y 1.576 * [taylor]: Taking taylor expansion of 1.0 in y 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.578 * [taylor]: Taking taylor expansion of y in y 1.579 * [taylor]: Taking taylor expansion of 1.0 in y 1.588 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.588 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.588 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.588 * [taylor]: Taking taylor expansion of y in y 1.588 * [taylor]: Taking taylor expansion of 1.0 in y 1.589 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 1.589 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [taylor]: Taking taylor expansion of 1.0 in y 1.601 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.601 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.601 * [taylor]: Taking taylor expansion of y in y 1.601 * [taylor]: Taking taylor expansion of 1.0 in y 1.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.603 * [taylor]: Taking taylor expansion of y in y 1.604 * [taylor]: Taking taylor expansion of 1.0 in y 1.613 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.613 * [taylor]: Taking taylor expansion of y in y 1.614 * [taylor]: Taking taylor expansion of 1.0 in y 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.615 * [taylor]: Taking taylor expansion of y in y 1.616 * [taylor]: Taking taylor expansion of 1.0 in y 1.631 * * * [progress]: simplifying candidates 1.633 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) 1.633 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (log (sqrt (+ h0 (* h1 h1)))) (exp (sqrt (+ h0 (* h1 h1)))) (* (cbrt (sqrt (+ h0 (* h1 h1)))) (cbrt (sqrt (+ h0 (* h1 h1))))) (cbrt (sqrt (+ h0 (* h1 h1)))) (* (* (sqrt (+ h0 (* h1 h1))) (sqrt (+ h0 (* h1 h1)))) (sqrt (+ h0 (* h1 h1)))) (sqrt (* (cbrt (+ h0 (* h1 h1))) (cbrt (+ h0 (* h1 h1))))) (sqrt (cbrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt 1) (sqrt (+ h0 (* h1 h1))) (sqrt (+ (pow h0 3) (pow (* h1 h1) 3))) (sqrt (+ (* h0 h0) (- (* (* h1 h1) (* h1 h1)) (* h0 (* h1 h1))))) (sqrt (- (* h0 h0) (* (* h1 h1) (* h1 h1)))) (sqrt (- h0 (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ h0 (* h1 h1)))) (sqrt (sqrt (+ h0 (* h1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) (- (+ (sqrt h0) (* 1/2 (/ (pow h1 2) (sqrt h0)))) (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3)))) (- (+ h1 (* h2 (/ 1 h1))) (* h3 (/ 1 (pow h1 3)))) (- (* h3 (/ 1 (pow h1 3))) (+ h1 (* h2 (/ 1 h1)))) 1.637 * * [simplify]: iteration 0 : 135 enodes (cost 416 ) 1.640 * * [simplify]: iteration 1 : 448 enodes (cost 408 ) 1.649 * * [simplify]: iteration 2 : 1981 enodes (cost 400 ) 1.694 * * [simplify]: iteration 3 : 5001 enodes (cost 396 ) 1.696 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) 1.697 * * * [progress]: adding candidates to table 1.940 * [progress]: [Phase 3 of 3] Extracting. 1.940 * * [regime]: Finding splitpoints for: (# # # # #) 1.940 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 1.941 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.957 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 1.977 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# # # # #) 1.995 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.017 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.035 * * * [regime]: Found split indices: #