0.555 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.097 * * * [progress]: [2/2] Setting up program.
0.100 * [progress]: [Phase 2 of 3] Improving.
0.142 * [simplify]: Simplifying:
  (* (sqrt (- x 1.0)) (sqrt x))
0.142 * [simplify]: Sending expressions to egg_math:
 (* (sqrt (- h0 h1)) (sqrt h0))
0.146 * * [progress]: iteration 1 / 4
0.146 * * * [progress]: picking best candidate
0.148 * * * * [pick]: Picked  #<alt (λ (x) (* (sqrt (- x 1.0)) (sqrt x)))>
0.149 * * * [progress]: localizing error
0.159 * * * [progress]: generating rewritten candidates
0.159 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.187 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.197 * * * [progress]: generating series expansions
0.197 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.201 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x))
0.201 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0
0.202 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.202 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.202 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [taylor]: Taking taylor expansion of 1.0 in x
0.202 * [backup-simplify]: Simplify 1.0 into 1.0
0.202 * [taylor]: Taking taylor expansion of x in x
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.204 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.204 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.204 * [backup-simplify]: Simplify (- 0) into 0
0.205 * [backup-simplify]: Simplify (+ 1 0) into 1
0.206 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.206 * [backup-simplify]: Simplify (sqrt 0) into 0
0.207 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.207 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x
0.207 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x
0.207 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.207 * [taylor]: Taking taylor expansion of x in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [taylor]: Taking taylor expansion of 1.0 in x
0.207 * [backup-simplify]: Simplify 1.0 into 1.0
0.207 * [taylor]: Taking taylor expansion of x in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.208 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.208 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0
0.217 * [backup-simplify]: Simplify (- 0) into 0
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.218 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0)
0.219 * [backup-simplify]: Simplify (sqrt 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.221 * [backup-simplify]: Simplify (- 0) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1
0.225 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.225 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.225 * [backup-simplify]: Simplify (- 0) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.229 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.230 * [backup-simplify]: Simplify (+ (* +nan.0 (pow x 3)) (+ (* +nan.0 (pow x 2)) (* +nan.0 x))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
0.230 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x))
0.230 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.230 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.230 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.230 * [taylor]: Taking taylor expansion of x in x
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [taylor]: Taking taylor expansion of 1.0 in x
0.231 * [backup-simplify]: Simplify 1.0 into 1.0
0.231 * [taylor]: Taking taylor expansion of x in x
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [backup-simplify]: Simplify (sqrt 1) into 1
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.234 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.235 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.236 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.236 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x
0.236 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x
0.236 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.236 * [taylor]: Taking taylor expansion of x in x
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [taylor]: Taking taylor expansion of 1.0 in x
0.237 * [backup-simplify]: Simplify 1.0 into 1.0
0.237 * [taylor]: Taking taylor expansion of x in x
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (+ 1 0) into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [backup-simplify]: Simplify (sqrt 1) into 1
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.239 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.240 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0)
0.241 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify -0.5 into -0.5
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (- 0) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125
0.247 * [backup-simplify]: Simplify -0.125 into -0.125
0.247 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x))))
0.248 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))
0.248 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0
0.248 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.248 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.248 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.248 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.248 * [taylor]: Taking taylor expansion of 1.0 in x
0.248 * [backup-simplify]: Simplify 1.0 into 1.0
0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.248 * [taylor]: Taking taylor expansion of x in x
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.249 * [backup-simplify]: Simplify (+ 0 1) into 1
0.249 * [backup-simplify]: Simplify (- 1) into -1
0.249 * [backup-simplify]: Simplify (sqrt 0) into 0
0.249 * [backup-simplify]: Simplify (- 1) into -1
0.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.250 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.250 * [taylor]: Taking taylor expansion of -1 in x
0.250 * [backup-simplify]: Simplify -1 into -1
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (/ -1 1) into -1
0.251 * [backup-simplify]: Simplify (sqrt 0) into 0
0.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.252 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x
0.252 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.252 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.252 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.252 * [taylor]: Taking taylor expansion of 1.0 in x
0.252 * [backup-simplify]: Simplify 1.0 into 1.0
0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (- 1) into -1
0.253 * [backup-simplify]: Simplify (sqrt 0) into 0
0.253 * [backup-simplify]: Simplify (- 1) into -1
0.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x
0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.254 * [taylor]: Taking taylor expansion of -1 in x
0.254 * [backup-simplify]: Simplify -1 into -1
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ -1 1) into -1
0.254 * [backup-simplify]: Simplify (sqrt 0) into 0
0.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.255 * [backup-simplify]: Simplify (* 0 0) into 0
0.255 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.259 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.259 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.261 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.262 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
0.263 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (- 0) into 0
0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.271 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0)
0.271 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (- 0) into 0
0.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.280 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0)
0.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
0.281 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.282 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.282 * [backup-simplify]: Simplify (sqrt (- x 1.0)) into (sqrt (- x 1.0))
0.282 * [approximate]: Taking taylor expansion of (sqrt (- x 1.0)) in (x) around 0
0.282 * [taylor]: Taking taylor expansion of (sqrt (- x 1.0)) in x
0.282 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.282 * [taylor]: Taking taylor expansion of x in x
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [taylor]: Taking taylor expansion of 1.0 in x
0.282 * [backup-simplify]: Simplify 1.0 into 1.0
0.282 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.283 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.283 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.283 * [backup-simplify]: Simplify (- 0) into 0
0.284 * [backup-simplify]: Simplify (+ 1 0) into 1
0.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0)))
0.285 * [taylor]: Taking taylor expansion of (sqrt (- x 1.0)) in x
0.285 * [taylor]: Taking taylor expansion of (- x 1.0) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [taylor]: Taking taylor expansion of 1.0 in x
0.285 * [backup-simplify]: Simplify 1.0 into 1.0
0.285 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.286 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.286 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.286 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify (+ 1 0) into 1
0.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0)))
0.288 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0))
0.289 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0)))
0.289 * [backup-simplify]: Simplify (- 0) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3))
0.295 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3))
0.298 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt (- 1.0))) x) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ x (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 2) (pow (sqrt (- 1.0)) 3))))
0.298 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) 1.0)) into (sqrt (- (/ 1 x) 1.0))
0.298 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in (x) around 0
0.298 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in x
0.298 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.298 * [taylor]: Taking taylor expansion of x in x
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (/ 1 1) into 1
0.298 * [taylor]: Taking taylor expansion of 1.0 in x
0.298 * [backup-simplify]: Simplify 1.0 into 1.0
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [backup-simplify]: Simplify (sqrt 0) into 0
0.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.299 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) 1.0)) in x
0.299 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x
0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.299 * [taylor]: Taking taylor expansion of x in x
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of 1.0 in x
0.300 * [backup-simplify]: Simplify 1.0 into 1.0
0.300 * [backup-simplify]: Simplify (+ 1 0) into 1
0.300 * [backup-simplify]: Simplify (sqrt 0) into 0
0.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.303 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
0.310 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.310 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (- 0) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.314 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.314 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.314 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) 1.0)) into (sqrt (- (+ 1.0 (/ 1 x))))
0.314 * [approximate]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in (x) around 0
0.314 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.314 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.314 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.314 * [taylor]: Taking taylor expansion of 1.0 in x
0.314 * [backup-simplify]: Simplify 1.0 into 1.0
0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ 0 1) into 1
0.315 * [backup-simplify]: Simplify (- 1) into -1
0.315 * [backup-simplify]: Simplify (sqrt 0) into 0
0.315 * [backup-simplify]: Simplify (- 1) into -1
0.316 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.316 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x
0.316 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x
0.316 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x
0.316 * [taylor]: Taking taylor expansion of 1.0 in x
0.316 * [backup-simplify]: Simplify 1.0 into 1.0
0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.316 * [taylor]: Taking taylor expansion of x in x
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [backup-simplify]: Simplify (+ 0 1) into 1
0.317 * [backup-simplify]: Simplify (- 1) into -1
0.317 * [backup-simplify]: Simplify (sqrt 0) into 0
0.317 * [backup-simplify]: Simplify (- 1) into -1
0.318 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
0.319 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
0.321 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.321 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (- 0) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
0.325 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.325 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.326 * * * [progress]: simplifying candidates
0.327 * [simplify]: Simplifying:
  (* (- x 1.0) x)
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (- x 1.0) x)
  (+ (log (sqrt (- x 1.0))) (log (sqrt x)))
  (log (* (sqrt (- x 1.0)) (sqrt x)))
  (exp (* (sqrt (- x 1.0)) (sqrt x)))
  (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x)))
  (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))))
  (cbrt (* (sqrt (- x 1.0)) (sqrt x)))
  (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x)))
  (* (- x 1.0) x)
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (sqrt (* (sqrt (- x 1.0)) (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))
  (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x))))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) (sqrt 1))
  (* (sqrt (- x 1.0)) (sqrt (sqrt x)))
  (* (sqrt (- x 1.0)) 1)
  (* (cbrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (cbrt (- x 1.0))) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (sqrt (- x 1.0))) (sqrt x))
  (* (sqrt (- x 1.0)) (sqrt x))
  (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))
  (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
  (log (sqrt (- x 1.0)))
  (exp (sqrt (- x 1.0)))
  (* (cbrt (sqrt (- x 1.0))) (cbrt (sqrt (- x 1.0))))
  (cbrt (sqrt (- x 1.0)))
  (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0)))
  (sqrt (* (cbrt (- x 1.0)) (cbrt (- x 1.0))))
  (sqrt (cbrt (- x 1.0)))
  (sqrt (sqrt (- x 1.0)))
  (sqrt (sqrt (- x 1.0)))
  (sqrt 1)
  (sqrt (- x 1.0))
  (sqrt (+ (sqrt x) (sqrt 1.0)))
  (sqrt (- (sqrt x) (sqrt 1.0)))
  (sqrt 1)
  (sqrt (- x 1.0))
  (sqrt (- (pow x 3) (pow 1.0 3)))
  (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))
  (sqrt (- (* x x) (* 1.0 1.0)))
  (sqrt (+ x 1.0))
  (/ 1 2)
  (sqrt (sqrt (- x 1.0)))
  (sqrt (sqrt (- x 1.0)))
  (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x))))))
  (- x (+ 0.5 (* 0.125 (/ 1 x))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  (- (+ (* 1/2 (/ x (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 2) (pow (sqrt (- 1.0)) 3))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0)))))
0.327 * [simplify]: Sending expressions to egg_math:
 (* (- h0 h1) h0)
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (- h0 h1) h0)
 (+ (log (sqrt (- h0 h1))) (log (sqrt h0)))
 (log (* (sqrt (- h0 h1)) (sqrt h0)))
 (exp (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (* (* (sqrt (- h0 h1)) (sqrt (- h0 h1))) (sqrt (- h0 h1))) (* (* (sqrt h0) (sqrt h0)) (sqrt h0)))
 (* (cbrt (* (sqrt (- h0 h1)) (sqrt h0))) (cbrt (* (sqrt (- h0 h1)) (sqrt h0))))
 (cbrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (* (* (sqrt (- h0 h1)) (sqrt h0)) (* (sqrt (- h0 h1)) (sqrt h0))) (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (- h0 h1) h0)
 (sqrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (sqrt (* (sqrt (- h0 h1)) (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (sqrt (- h0 h1))) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))
 (* (sqrt (- h0 h1)) (sqrt (* (cbrt h0) (cbrt h0))))
 (* (sqrt (- h0 h1)) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) (sqrt 1))
 (* (sqrt (- h0 h1)) (sqrt (sqrt h0)))
 (* (sqrt (- h0 h1)) 1)
 (* (cbrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (cbrt (- h0 h1))) (sqrt h0))
 (* (sqrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (- (sqrt h0) (sqrt h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (sqrt (- h0 h1))) (sqrt h0))
 (* (sqrt (- h0 h1)) (sqrt h0))
 (* (sqrt (- (pow h0 3) (pow h1 3))) (sqrt h0))
 (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt h0))
 (log (sqrt (- h0 h1)))
 (exp (sqrt (- h0 h1)))
 (* (cbrt (sqrt (- h0 h1))) (cbrt (sqrt (- h0 h1))))
 (cbrt (sqrt (- h0 h1)))
 (* (* (sqrt (- h0 h1)) (sqrt (- h0 h1))) (sqrt (- h0 h1)))
 (sqrt (* (cbrt (- h0 h1)) (cbrt (- h0 h1))))
 (sqrt (cbrt (- h0 h1)))
 (sqrt (sqrt (- h0 h1)))
 (sqrt (sqrt (- h0 h1)))
 (sqrt 1)
 (sqrt (- h0 h1))
 (sqrt (+ (sqrt h0) (sqrt h1)))
 (sqrt (- (sqrt h0) (sqrt h1)))
 (sqrt 1)
 (sqrt (- h0 h1))
 (sqrt (- (pow h0 3) (pow h1 3)))
 (sqrt (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))))
 (sqrt (- (* h0 h0) (* h1 h1)))
 (sqrt (+ h0 h1))
 (/ 1 2)
 (sqrt (sqrt (- h0 h1)))
 (sqrt (sqrt (- h0 h1)))
 (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0))))))
 (- h0 (+ h4 (* h3 (/ 1 h0))))
 (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2)))))
 (- (+ (* 1/2 (/ h0 (sqrt (- h1)))) (sqrt (- h1))) (* 1/8 (/ (pow h0 2) (pow (sqrt (- h1)) 3))))
 (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2)))))
 (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2)))))