3.833 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (sqrt (- 1.0 (* x x))) 0.019 * [simplify]: Sending expressions to egg_math: (sqrt (- h0 (* h1 h1))) 0.022 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.027 * [simplify]: Simplified to: (sqrt (- 1.0 (* x x))) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.041 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.041 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.041 * [taylor]: Taking taylor expansion of 1.0 in x 0.041 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.057 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.057 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.057 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.081 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.102 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (* (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (sqrt (- 1.0 (* x x)))) (sqrt (* (cbrt (- 1.0 (* x x))) (cbrt (- 1.0 (* x x))))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt 1) (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (/ 1 2) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) 0.103 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (- h0 (* h1 h1)))) (log1p (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 (+ (sqrt h0) h1)) (sqrt (- (sqrt h0) 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) (+ (* 1/8 (/ (pow h1 4) (pow (sqrt h0) 3))) (* 1/2 (/ (pow h1 2) (sqrt h0))))) (- (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1))) (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3))))) (- (* h3 (/ 1 (* (pow h1 3) (pow (sqrt -1) 3)))) (+ (* h2 (/ 1 (* h1 (sqrt -1)))) (* h1 (sqrt -1)))) 0.107 * * [simplify]: iteration 0 : 165 enodes (cost 131 ) 0.111 * * [simplify]: iteration 1 : 568 enodes (cost 128 ) 0.124 * * [simplify]: iteration 2 : 2782 enodes (cost 126 ) 0.194 * * [simplify]: iteration 3 : 5001 enodes (cost 123 ) 0.196 * [simplify]: Simplified to: (expm1 (sqrt (- 1.0 (* x x)))) (log1p (sqrt (- 1.0 (* x x)))) (log (sqrt (- 1.0 (* x x)))) (exp (sqrt (- 1.0 (* x x)))) (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))) (pow (sqrt (- 1.0 (* x x))) 3) (fabs (cbrt (- 1.0 (* x x)))) (sqrt (cbrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) 1 (sqrt (- 1.0 (* x x))) (sqrt (+ (sqrt 1.0) x)) (sqrt (- (sqrt 1.0) x)) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) 1/2 (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma (- (/ 0.125 (pow x 3))) (/ -1 (sqrt -1)) (fma (sqrt -1) x (/ (/ 0.5 (sqrt -1)) x))) (fma (/ 0.125 (* (sqrt -1) (pow x 3))) -1 (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) 0.196 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.303 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in (x) around 0 0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.303 * [taylor]: Taking taylor expansion of 1/2 in x 0.303 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow x 2) (sqrt 1.0))) in x 0.304 * [taylor]: Taking taylor expansion of 1/2 in x 0.304 * [taylor]: Taking taylor expansion of (/ (pow x 2) (sqrt 1.0)) in x 0.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.325 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.325 * [taylor]: Taking taylor expansion of 1/2 in x 0.325 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.326 * [taylor]: Taking taylor expansion of 1.0 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.327 * [taylor]: Taking taylor expansion of 1/2 in x 0.327 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.327 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [approximate]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in (x) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.347 * [taylor]: Taking taylor expansion of 1/2 in x 0.347 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.347 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 1.0))) in x 0.349 * [taylor]: Taking taylor expansion of 1/2 in x 0.349 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 1.0)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.349 * [taylor]: Taking taylor expansion of 1.0 in x 0.375 * * * [progress]: simplifying candidates 0.376 * [simplify]: Simplifying using # : (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (* (log x) 2) (log (sqrt 1.0)))) (+ (log 1/2) (- (log (pow x 2)) (log (sqrt 1.0)))) (+ (log 1/2) (log (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow x 2) (pow x 2)) (pow x 2)) (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow x 2) (sqrt 1.0)) (/ (pow x 2) (sqrt 1.0))) (/ (pow x 2) (sqrt 1.0)))) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (* (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ x (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* (sqrt 1/2) (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) 1)) (* 1/2 (/ (pow (sqrt x) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt x) 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow (sqrt x) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ x (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ x (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x (sqrt 1))) (* 1/2 (/ x (sqrt (sqrt 1.0)))) (* 1/2 (/ x 1)) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1)) (* 1/2 (/ (sqrt (pow x 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow x 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (sqrt (pow x 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ 1 (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt 1.0)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow x (/ 2 2)) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (* (cbrt 1.0) (cbrt 1.0))))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow x (/ 2 2)) (sqrt (sqrt 1.0)))) (* 1/2 (/ (pow x (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.377 * [simplify]: Sending expressions to egg_math: (expm1 (* 1/2 (/ (pow h0 2) (sqrt h1)))) (log1p (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* 1/2 (/ (pow h0 2) (sqrt h1))) (+ (log 1/2) (- (* (log h0) 2) (log (sqrt h1)))) (+ (log 1/2) (- (* (log h0) 2) (log (sqrt h1)))) (+ (log 1/2) (- (log (pow h0 2)) (log (sqrt h1)))) (+ (log 1/2) (log (/ (pow h0 2) (sqrt h1)))) (log (* 1/2 (/ (pow h0 2) (sqrt h1)))) (exp (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* (* (* 1/2 1/2) 1/2) (/ (* (* (pow h0 2) (pow h0 2)) (pow h0 2)) (* (* (sqrt h1) (sqrt h1)) (sqrt h1)))) (* (* (* 1/2 1/2) 1/2) (* (* (/ (pow h0 2) (sqrt h1)) (/ (pow h0 2) (sqrt h1))) (/ (pow h0 2) (sqrt h1)))) (* (cbrt (* 1/2 (/ (pow h0 2) (sqrt h1)))) (cbrt (* 1/2 (/ (pow h0 2) (sqrt h1))))) (cbrt (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* (* (* 1/2 (/ (pow h0 2) (sqrt h1))) (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* 1/2 (/ (pow h0 2) (sqrt h1)))) (sqrt (* 1/2 (/ (pow h0 2) (sqrt h1)))) (sqrt (* 1/2 (/ (pow h0 2) (sqrt h1)))) (* (sqrt 1/2) (sqrt (/ (pow h0 2) (sqrt h1)))) (* (sqrt 1/2) (sqrt (/ (pow h0 2) (sqrt h1)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ h0 (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ h0 (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ h0 (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ h0 (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* (sqrt 1/2) (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* 1/2 (* (cbrt (/ (pow h0 2) (sqrt h1))) (cbrt (/ (pow h0 2) (sqrt h1))))) (* 1/2 (sqrt (/ (pow h0 2) (sqrt h1)))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (sqrt 1))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow (* (cbrt h0) (cbrt h0)) 2) 1)) (* 1/2 (/ (pow (sqrt h0) 2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (pow (sqrt h0) 2) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow (sqrt h0) 2) (sqrt 1))) (* 1/2 (/ (pow (sqrt h0) 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow (sqrt h0) 2) 1)) (* 1/2 (/ (pow 1 2) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (pow 1 2) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow 1 2) (sqrt 1))) (* 1/2 (/ (pow 1 2) (sqrt (sqrt h1)))) (* 1/2 (/ (pow 1 2) 1)) (* 1/2 (/ h0 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ h0 (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ h0 (sqrt (sqrt h1)))) (* 1/2 (/ h0 (sqrt 1))) (* 1/2 (/ h0 (sqrt (sqrt h1)))) (* 1/2 (/ h0 1)) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (sqrt (sqrt h1)))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (sqrt 1))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) (sqrt (sqrt h1)))) (* 1/2 (/ (* (cbrt (pow h0 2)) (cbrt (pow h0 2))) 1)) (* 1/2 (/ (sqrt (pow h0 2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (sqrt (pow h0 2)) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* 1/2 (/ (sqrt (pow h0 2)) (sqrt 1))) (* 1/2 (/ (sqrt (pow h0 2)) (sqrt (sqrt h1)))) (* 1/2 (/ (sqrt (pow h0 2)) 1)) (* 1/2 (/ 1 (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ 1 (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ 1 (sqrt (sqrt h1)))) (* 1/2 (/ 1 (sqrt 1))) (* 1/2 (/ 1 (sqrt (sqrt h1)))) (* 1/2 (/ 1 1)) (* 1/2 (/ (pow h0 (/ 2 2)) (* (cbrt (sqrt h1)) (cbrt (sqrt h1))))) (* 1/2 (/ (pow h0 (/ 2 2)) (sqrt (* (cbrt h1) (cbrt h1))))) (* 1/2 (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* 1/2 (/ (pow h0 (/ 2 2)) (sqrt 1))) (* 1/2 (/ (pow h0 (/ 2 2)) (sqrt (sqrt h1)))) (* 1/2 (/ (pow h0 (/ 2 2)) 1)) (* 1/2 1) (* 1/2 (pow h0 2)) (* (cbrt 1/2) (/ (pow h0 2) (sqrt h1))) (* (sqrt 1/2) (/ (pow h0 2) (sqrt h1))) (* 1/2 (/ (pow h0 2) (sqrt h1))) (* 1/2 (pow h0 2)) (* 1/2 (/ (pow h0 2) (sqrt h1))) (* 1/2 (/ (pow h0 2) (sqrt h1))) (* 1/2 (/ (pow h0 2) (sqrt h1))) 0.383 * * [simplify]: iteration 0 : 364 enodes (cost 505 ) 0.393 * * [simplify]: iteration 1 : 1674 enodes (cost 442 ) 0.426 * * [simplify]: iteration 2 : 5001 enodes (cost 442 ) 0.428 * [simplify]: Simplified to: (expm1 (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log1p (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (log (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (exp (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (pow (/ (pow x 2) (sqrt 1.0)) 3)) (* 1/8 (pow (/ (pow x 2) (sqrt 1.0)) 3)) (* (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (cbrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* 1/8 (pow (/ (pow x 2) (sqrt 1.0)) 3)) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (sqrt (* 1/2 (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (* (sqrt 1/2) (sqrt (/ (pow x 2) (sqrt 1.0)))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) (fabs x)) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (/ (* (sqrt 1/2) x) (sqrt (sqrt 1.0))) (* 1/2 (* (cbrt (/ (pow x 2) (sqrt 1.0))) (cbrt (/ (pow x 2) (sqrt 1.0))))) (* 1/2 (sqrt (/ (pow x 2) (sqrt 1.0)))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (pow (* (cbrt x) (cbrt x)) 2)) (fabs (cbrt 1.0))) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (* 1/2 (/ (pow (* (cbrt x) (cbrt x)) 2) (sqrt (sqrt 1.0)))) (* (pow (* (cbrt x) (cbrt x)) 2) 1/2) (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))))) (/ (* 1/2 (* (cbrt (pow x 2)) (cbrt (pow x 2)))) (fabs (cbrt 1.0))) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* 1/2 (/ (* (cbrt (pow x 2)) (cbrt (pow x 2))) (sqrt (sqrt 1.0)))) (* (* (cbrt (pow x 2)) (cbrt (pow x 2))) 1/2) (* (/ 1/2 (cbrt (sqrt 1.0))) (/ (fabs x) (cbrt (sqrt 1.0)))) (/ (* 1/2 (fabs x)) (fabs (cbrt 1.0))) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ (* 1/2 (fabs x)) (sqrt (sqrt 1.0))) (/ (fabs x) 2) (/ 1/2 (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ 1/2 (fabs (cbrt 1.0))) (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ 1/2 (sqrt (sqrt 1.0))) 1/2 (/ (* 1/2 x) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* 1/2 x) (fabs (cbrt 1.0))) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) (/ (* 1/2 x) (sqrt (sqrt 1.0))) (* x 1/2) 1/2 (* 1/2 (pow x 2)) (* (cbrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* (sqrt 1/2) (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (pow x 2)) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/2 (/ (pow x 2) (sqrt 1.0))) 0.429 * * * [progress]: adding candidates to table 0.641 * [progress]: [Phase 3 of 3] Extracting. 0.641 * * [regime]: Finding splitpoints for: (# #) 0.641 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (- 1.0 (* x x)) (sqrt (- 1.0 (* x x))) x) 0.641 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.654 * * * * [regimes]: Trying to branch on (- 1.0 (* x x)) from (# #) 0.663 * * * * [regimes]: Trying to branch on (sqrt (- 1.0 (* x x))) from (# #) 0.674 * * * * [regimes]: Trying to branch on x from (# #) 0.685 * * * [regime]: Found split indices: #