0.481 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.125 * * * [progress]: [2/2] Setting up program. 0.128 * [progress]: [Phase 2 of 3] Improving. 0.130 * [simplify]: Simplifying: (* (sqrt (- x 1.0)) (sqrt x)) 0.131 * [simplify]: Sending expressions to egg_math: (* (sqrt (- h0 h1)) (sqrt h0)) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.204 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.209 * [backup-simplify]: Simplify (* (sqrt (- x 1.0)) (sqrt x)) into (sqrt (* (- x 1.0) x)) 0.209 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.210 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.210 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.212 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.213 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.215 * [backup-simplify]: Simplify (sqrt 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.216 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.216 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.216 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.217 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.217 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.219 * [backup-simplify]: Simplify (sqrt 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.222 * [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 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [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 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [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 0.231 * [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 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.235 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.237 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.238 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.238 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.240 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.242 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.243 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify -0.5 into -0.5 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.246 * [backup-simplify]: Simplify -0.125 into -0.125 0.246 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.247 * [backup-simplify]: Simplify (* (sqrt (- (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) 0.247 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.247 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (+ 0 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (sqrt 0) into 0 0.248 * [backup-simplify]: Simplify (- 1) into -1 0.249 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.249 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.249 * [taylor]: Taking taylor expansion of -1 in x 0.249 * [backup-simplify]: Simplify -1 into -1 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ -1 1) into -1 0.249 * [backup-simplify]: Simplify (sqrt 0) into 0 0.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.250 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.250 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.250 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [backup-simplify]: Simplify 1.0 into 1.0 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.251 * [backup-simplify]: Simplify (sqrt 0) into 0 0.251 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [backup-simplify]: Simplify -1 into -1 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 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (sqrt 0) into 0 0.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.254 * [backup-simplify]: Simplify (* 0 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.265 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.267 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.269 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 0.269 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.278 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 0.278 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.289 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 0.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.290 * [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))))) 0.290 * * * [progress]: simplifying candidates 0.291 * [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)) (- (+ (* +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))))) 0.291 * [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)) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0)))))) (- h0 (+ h4 (* h3 (/ 1 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.360 * * * [progress]: adding candidates to table 0.430 * * [progress]: iteration 2 / 4 0.431 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.440 * * * [progress]: generating rewritten candidates 0.440 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2 2) 0.456 * * * [progress]: generating series expansions 0.456 * * * * [progress]: [ 1 / 1 ] generating series at (2 2 2) 0.456 * [backup-simplify]: Simplify (* 0.125 (/ 1 x)) into (/ 0.125 x) 0.456 * [approximate]: Taking taylor expansion of (/ 0.125 x) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (/ 0.125 x) in x 0.456 * [taylor]: Taking taylor expansion of 0.125 in x 0.457 * [backup-simplify]: Simplify 0.125 into 0.125 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 0.457 * [taylor]: Taking taylor expansion of (/ 0.125 x) in x 0.457 * [taylor]: Taking taylor expansion of 0.125 in x 0.457 * [backup-simplify]: Simplify 0.125 into 0.125 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 0.457 * [backup-simplify]: Simplify 0.125 into 0.125 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (* 0.125 (/ 1 x)) into (/ 0.125 x) 0.462 * [backup-simplify]: Simplify (* 0.125 (/ 1 (/ 1 x))) into (* 0.125 x) 0.462 * [approximate]: Taking taylor expansion of (* 0.125 x) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.462 * [taylor]: Taking taylor expansion of 0.125 in x 0.462 * [backup-simplify]: Simplify 0.125 into 0.125 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.462 * [taylor]: Taking taylor expansion of 0.125 in x 0.462 * [backup-simplify]: Simplify 0.125 into 0.125 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [backup-simplify]: Simplify (* 0.125 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* 0.125 1) (* 0 0)) into 0.125 0.463 * [backup-simplify]: Simplify 0.125 into 0.125 0.464 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 1) (* 0 0))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.464 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (* 0.125 (/ 1 x)) into (/ 0.125 x) 0.473 * [backup-simplify]: Simplify (* 0.125 (/ 1 (/ 1 (- x)))) into (* -0.125 x) 0.473 * [approximate]: Taking taylor expansion of (* -0.125 x) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (* -0.125 x) in x 0.473 * [taylor]: Taking taylor expansion of -0.125 in x 0.473 * [backup-simplify]: Simplify -0.125 into -0.125 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [taylor]: Taking taylor expansion of (* -0.125 x) in x 0.473 * [taylor]: Taking taylor expansion of -0.125 in x 0.473 * [backup-simplify]: Simplify -0.125 into -0.125 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.474 * [backup-simplify]: Simplify (* -0.125 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* -0.125 1) (* 0 0)) into (- 0.125) 0.475 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.475 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 1) (* 0 0))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.477 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (* (- 0.125) (/ 1 (- x))) into (/ 0.125 x) 0.480 * * * [progress]: simplifying candidates 0.480 * [simplify]: Simplifying: (* 0.125 (/ 1 x)) (+ (log 0.125) (- (log x))) (+ (log 0.125) (- 0 (log x))) (+ (log 0.125) (- (log 1) (log x))) (+ (log 0.125) (log (/ 1 x))) (log (* 0.125 (/ 1 x))) (exp (* 0.125 (/ 1 x))) (* (* (* 0.125 0.125) 0.125) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* 0.125 0.125) 0.125) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* 0.125 (/ 1 x))) (cbrt (* 0.125 (/ 1 x)))) (cbrt (* 0.125 (/ 1 x))) (* (* (* 0.125 (/ 1 x)) (* 0.125 (/ 1 x))) (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (sqrt (* 0.125 (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (sqrt (/ 1 x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* (sqrt 0.125) (/ 1 (sqrt x))) (* 0.125 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.125 (sqrt (/ 1 x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* 0.125 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.125 (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* 0.125 (/ (sqrt 1) (sqrt x))) (* 0.125 (/ (sqrt 1) 1)) (* 0.125 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.125 (/ 1 (sqrt x))) (* 0.125 (/ 1 1)) (* 0.125 1) (* 0.125 1) (* (cbrt 0.125) (/ 1 x)) (* (sqrt 0.125) (/ 1 x)) (* 0.125 (/ 1 x)) (* 0.125 1) (/ 0.125 x) (/ 0.125 x) (/ 0.125 x) 0.481 * [simplify]: Sending expressions to egg_math: (* h1 (/ 1 h0)) (+ (log h1) (- (log h0))) (+ (log h1) (- 0 (log h0))) (+ (log h1) (- (log 1) (log h0))) (+ (log h1) (log (/ 1 h0))) (log (* h1 (/ 1 h0))) (exp (* h1 (/ 1 h0))) (* (* (* h1 h1) h1) (/ (* (* 1 1) 1) (* (* h0 h0) h0))) (* (* (* h1 h1) h1) (* (* (/ 1 h0) (/ 1 h0)) (/ 1 h0))) (* (cbrt (* h1 (/ 1 h0))) (cbrt (* h1 (/ 1 h0)))) (cbrt (* h1 (/ 1 h0))) (* (* (* h1 (/ 1 h0)) (* h1 (/ 1 h0))) (* h1 (/ 1 h0))) (sqrt (* h1 (/ 1 h0))) (sqrt (* h1 (/ 1 h0))) (* (sqrt h1) (sqrt (/ 1 h0))) (* (sqrt h1) (sqrt (/ 1 h0))) (* (sqrt h1) (/ (sqrt 1) (sqrt h0))) (* (sqrt h1) (/ (sqrt 1) (sqrt h0))) (* (sqrt h1) (/ 1 (sqrt h0))) (* (sqrt h1) (/ 1 (sqrt h0))) (* h1 (* (cbrt (/ 1 h0)) (cbrt (/ 1 h0)))) (* h1 (sqrt (/ 1 h0))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)))) (* h1 (/ (* (cbrt 1) (cbrt 1)) (sqrt h0))) (* h1 (/ (* (cbrt 1) (cbrt 1)) 1)) (* h1 (/ (sqrt 1) (* (cbrt h0) (cbrt h0)))) (* h1 (/ (sqrt 1) (sqrt h0))) (* h1 (/ (sqrt 1) 1)) (* h1 (/ 1 (* (cbrt h0) (cbrt h0)))) (* h1 (/ 1 (sqrt h0))) (* h1 (/ 1 1)) (* h1 1) (* h1 1) (* (cbrt h1) (/ 1 h0)) (* (sqrt h1) (/ 1 h0)) (* h1 (/ 1 h0)) (* h1 1) (/ h1 h0) (/ h1 h0) (/ h1 h0) 0.553 * * * [progress]: adding candidates to table 0.615 * * [progress]: iteration 3 / 4 0.615 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.621 * * * [progress]: generating rewritten candidates 0.621 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.630 * * * [progress]: generating series expansions 0.630 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.631 * [backup-simplify]: Simplify (sqrt (* (- x 1.0) x)) into (sqrt (* (- x 1.0) x)) 0.631 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.631 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.631 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.631 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [backup-simplify]: Simplify 1.0 into 1.0 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.632 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.632 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.632 * [backup-simplify]: Simplify (- 0) into 0 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.634 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.634 * [backup-simplify]: Simplify (sqrt 0) into 0 0.635 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.635 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.635 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.635 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.635 * [backup-simplify]: Simplify 1.0 into 1.0 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.636 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.636 * [backup-simplify]: Simplify (* (- 1.0) 0) into 0 0.637 * [backup-simplify]: Simplify (- 0) into 0 0.637 * [backup-simplify]: Simplify (+ 1 0) into 1 0.638 * [backup-simplify]: Simplify (+ (* (- 1.0) 1) (* 1 0)) into (- 1.0) 0.638 * [backup-simplify]: Simplify (sqrt 0) into 0 0.639 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 0))) into +nan.0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.640 * [backup-simplify]: Simplify (- 0) into 0 0.640 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 1) (* 0 0))) into 1 0.642 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.643 * [backup-simplify]: Simplify (- 0) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.646 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.646 * [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)))))) 0.646 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 x) 1.0) (/ 1 x))) into (sqrt (/ (- (/ 1 x) 1.0) x)) 0.646 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.646 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [backup-simplify]: Simplify 1.0 into 1.0 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (+ 1 0) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.648 * [backup-simplify]: Simplify (sqrt 1) into 1 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.649 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.650 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.651 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.651 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [backup-simplify]: Simplify 1.0 into 1.0 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (sqrt 1) into 1 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.658 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.659 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* 1 (/ 0 1)))) into (- 1.0) 0.660 * [backup-simplify]: Simplify (/ (- 1.0) (* 2 (sqrt 1))) into -0.5 0.660 * [backup-simplify]: Simplify 1 into 1 0.660 * [backup-simplify]: Simplify -0.5 into -0.5 0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (- 0) into 0 0.661 * [backup-simplify]: Simplify (+ 0 0) into 0 0.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+)) (* 2 1)) into -0.125 0.664 * [backup-simplify]: Simplify -0.125 into -0.125 0.664 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 x)) (+ -0.5 (* 1 (/ 1 (/ 1 x))))) into (- x (+ 0.5 (* 0.125 (/ 1 x)))) 0.664 * [backup-simplify]: Simplify (sqrt (* (- (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (sqrt (/ (+ 1.0 (/ 1 x)) x)) 0.664 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.664 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [backup-simplify]: Simplify 1.0 into 1.0 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (+ 0 1) into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (sqrt 1) into 1 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.667 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.668 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 0.668 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [backup-simplify]: Simplify 1.0 into 1.0 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (+ 0 1) into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (sqrt 1) into 1 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.671 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 1 (/ 0 1)))) into 1.0 0.672 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify 0.5 into 0.5 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 0.675 * [backup-simplify]: Simplify -0.125 into -0.125 0.675 * [backup-simplify]: Simplify (+ (* -0.125 (/ 1 (- x))) (+ 0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ 0.5 (* 0.125 (/ 1 x))) x) 0.675 * * * [progress]: simplifying candidates 0.675 * [simplify]: Simplifying: (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 0.675 * [simplify]: Sending expressions to egg_math: (log (sqrt (* (- h0 h1) h0))) (exp (sqrt (* (- h0 h1) h0))) (* (cbrt (sqrt (* (- h0 h1) h0))) (cbrt (sqrt (* (- h0 h1) h0)))) (cbrt (sqrt (* (- h0 h1) h0))) (* (* (sqrt (* (- h0 h1) h0)) (sqrt (* (- h0 h1) h0))) (sqrt (* (- h0 h1) h0))) (sqrt (- h0 h1)) (sqrt h0) (sqrt (* (- (pow h0 3) (pow h1 3)) h0)) (sqrt (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (sqrt (* (- (* h0 h0) (* h1 h1)) h0)) (sqrt (+ h0 h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- h0 h1) h0))) (sqrt (sqrt (* (- h0 h1) h0))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h0 3)) (- (* h2 h0)))))) (- h0 (+ h4 (* h3 (/ 1 h0)))) (- (+ h4 (* h3 (/ 1 h0))) h0) 0.822 * * * [progress]: adding candidates to table 0.851 * [progress]: [Phase 3 of 3] Extracting. 0.851 * * [regime]: Finding splitpoints for: (# # #) 0.852 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 0.853 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 0.877 * * * * [regimes]: Trying to branch on x from (# # #) 0.889 * * * [regime]: Found split indices: #