11.316 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (* x (exp (* y y))) 0.023 * [simplify]: Sending expressions to egg_math: (* h0 (exp (* h1 h1))) 0.026 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.027 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.029 * * [simplify]: iteration 2 : 21 enodes (cost 3 ) 0.030 * * [simplify]: iteration 3 : 48 enodes (cost 3 ) 0.032 * * [simplify]: iteration 4 : 133 enodes (cost 3 ) 0.036 * * [simplify]: iteration 5 : 437 enodes (cost 3 ) 0.046 * * [simplify]: iteration 6 : 1926 enodes (cost 3 ) 0.089 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.091 * * * * [pick]: Picked # 0.091 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.100 * [backup-simplify]: Simplify (exp (* y y)) into (exp (pow y 2)) 0.100 * [approximate]: Taking taylor expansion of (exp (pow y 2)) in (y) around 0 0.100 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 1 1) into 1 0.100 * [backup-simplify]: Simplify (exp 0) into 1 0.100 * [taylor]: Taking taylor expansion of (exp (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (exp 0) into 1 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.101 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1 1) 1)))) into 1 0.102 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.104 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.106 * [backup-simplify]: Simplify 1/2 into 1/2 0.106 * [backup-simplify]: Simplify (+ (* 1/2 (pow y 4)) (+ (* 1 (pow y 2)) 1)) into (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) 0.107 * [backup-simplify]: Simplify (exp (* (/ 1 y) (/ 1 y))) into (exp (/ 1 (pow y 2))) 0.107 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in (y) around 0 0.107 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.107 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.108 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify (exp (/ 1 (pow (/ 1 y) 2))) into (exp (pow y 2)) 0.108 * [backup-simplify]: Simplify (exp (* (/ 1 (- y)) (/ 1 (- y)))) into (exp (/ 1 (pow y 2))) 0.108 * [approximate]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in (y) around 0 0.108 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.109 * [backup-simplify]: Simplify (/ 1 1) into 1 0.109 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.109 * [taylor]: Taking taylor expansion of (exp (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.110 * [backup-simplify]: Simplify (exp (/ 1 (pow y 2))) into (exp (/ 1 (pow y 2))) 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (exp (/ 1 (pow (/ 1 (- y)) 2))) into (exp (pow y 2)) 0.110 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying: (expm1 (exp (* y y))) (log1p (exp (* y y))) (exp y) (log (exp (* y y))) (exp (exp (* y y))) (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))) (cbrt (exp (* y y))) (* (* (exp (* y y)) (exp (* y y))) (exp (* y y))) (sqrt (exp (* y y))) (sqrt (exp (* y y))) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (exp (pow y 2)) (exp (pow y 2)) 0.110 * [simplify]: Sending expressions to egg_math: (expm1 (exp (* h0 h0))) (log1p (exp (* h0 h0))) (exp h0) (log (exp (* h0 h0))) (exp (exp (* h0 h0))) (* (cbrt (exp (* h0 h0))) (cbrt (exp (* h0 h0)))) (cbrt (exp (* h0 h0))) (* (* (exp (* h0 h0)) (exp (* h0 h0))) (exp (* h0 h0))) (sqrt (exp (* h0 h0))) (sqrt (exp (* h0 h0))) (+ (pow h0 2) (+ (* 1/2 (pow h0 4)) 1)) (exp (pow h0 2)) (exp (pow h0 2)) 0.113 * * [simplify]: iteration 0 : 41 enodes (cost 42 ) 0.115 * * [simplify]: iteration 1 : 112 enodes (cost 37 ) 0.117 * * [simplify]: iteration 2 : 359 enodes (cost 37 ) 0.126 * * [simplify]: iteration 3 : 1576 enodes (cost 37 ) 0.188 * * [simplify]: iteration 4 : 5001 enodes (cost 37 ) 0.188 * * * [progress]: adding candidates to table 0.217 * * [progress]: iteration 2 / 4 0.217 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.254 * * * [progress]: generating series expansions 0.254 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.254 * [backup-simplify]: Simplify (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) into (pow (pow (exp y) (* 1/2 y)) 2) 0.254 * [approximate]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in (y) around 0 0.254 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in y 0.254 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.254 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.254 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.254 * [taylor]: Taking taylor expansion of 1/2 in y 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.254 * [taylor]: Taking taylor expansion of (exp y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (exp 0) into 1 0.255 * [backup-simplify]: Simplify (log 1) into 0 0.255 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.255 * [backup-simplify]: Simplify (* 0 0) into 0 0.256 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.257 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.257 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.258 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.260 * [backup-simplify]: Simplify (exp 0) into 1 0.260 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in y 0.260 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.260 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.260 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.260 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.260 * [taylor]: Taking taylor expansion of 1/2 in y 0.260 * [backup-simplify]: Simplify 1/2 into 1/2 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.260 * [taylor]: Taking taylor expansion of (exp y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (exp 0) into 1 0.261 * [backup-simplify]: Simplify (log 1) into 0 0.261 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.261 * [backup-simplify]: Simplify (* 0 0) into 0 0.262 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.263 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.264 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.270 * [backup-simplify]: Simplify (exp 0) into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/2 1) 1)))) into 1/2 0.272 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.276 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (* 0 0)))) into 0 0.278 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.286 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.290 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 0.290 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* 1/8 1))))) into 1/2 0.290 * [backup-simplify]: Simplify 1/2 into 1/2 0.291 * [backup-simplify]: Simplify (+ (* 1/2 (pow y 4)) (+ (* 1 (pow y 2)) 1)) into (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) 0.291 * [backup-simplify]: Simplify (* (pow (exp (/ 1 y)) (/ (/ 1 y) 2)) (pow (exp (/ 1 y)) (/ (/ 1 y) 2))) into (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) 0.291 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in (y) around 0 0.291 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in y 0.291 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.291 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.291 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.291 * [taylor]: Taking taylor expansion of 1/2 in y 0.291 * [backup-simplify]: Simplify 1/2 into 1/2 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.291 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.291 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.292 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.292 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.292 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.292 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in y 0.292 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.292 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.292 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [backup-simplify]: Simplify 1/2 into 1/2 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.293 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.293 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.293 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.293 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.293 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.294 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 2) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.294 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 y) 2))) 2) into (pow (exp (* 1/2 (pow y 2))) 2) 0.298 * [backup-simplify]: Simplify (* (pow (exp (/ 1 (- y))) (/ (/ 1 (- y)) 2)) (pow (exp (/ 1 (- y))) (/ (/ 1 (- y)) 2))) into (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) 0.298 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in (y) around 0 0.298 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in y 0.298 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.298 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.298 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.298 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.299 * [taylor]: Taking taylor expansion of -1/2 in y 0.299 * [backup-simplify]: Simplify -1/2 into -1/2 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.299 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.299 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.299 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.299 * [taylor]: Taking taylor expansion of -1 in y 0.299 * [backup-simplify]: Simplify -1 into -1 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ -1 1) into -1 0.299 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.299 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.299 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.300 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.300 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in y 0.300 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.300 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.300 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.300 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.300 * [taylor]: Taking taylor expansion of -1/2 in y 0.300 * [backup-simplify]: Simplify -1/2 into -1/2 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.300 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.300 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.300 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.300 * [taylor]: Taking taylor expansion of -1 in y 0.300 * [backup-simplify]: Simplify -1 into -1 0.300 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.300 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.301 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.301 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.301 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.301 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 2) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.301 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 (- y)) 2))) 2) into (pow (exp (* 1/2 (pow y 2))) 2) 0.306 * * * [progress]: simplifying candidates 0.307 * [simplify]: Simplifying: (expm1 (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (log1p (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (+ (/ y 2) (/ y 2)) (* (exp y) (exp y)) (+ (* y (/ y 2)) (* y (/ y 2))) (+ (* y (/ y 2)) (* (log (exp y)) (/ y 2))) (+ (* y (/ y 2)) (log (pow (exp y) (/ y 2)))) (+ (* (log (exp y)) (/ y 2)) (* y (/ y 2))) (+ (* (log (exp y)) (/ y 2)) (* (log (exp y)) (/ y 2))) (+ (* (log (exp y)) (/ y 2)) (log (pow (exp y) (/ y 2)))) (+ (log (pow (exp y) (/ y 2))) (* y (/ y 2))) (+ (log (pow (exp y) (/ y 2))) (* (log (exp y)) (/ y 2))) (+ (log (pow (exp y) (/ y 2))) (log (pow (exp y) (/ y 2)))) (log (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (exp (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (* (* (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2))) (* (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2)))) (* (cbrt (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (cbrt (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))))) (cbrt (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (* (* (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (sqrt (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (sqrt (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2)))) (* (pow (* (cbrt (exp y)) (cbrt (exp y))) (/ y 2)) (pow (* (cbrt (exp y)) (cbrt (exp y))) (/ y 2))) (* (pow (cbrt (exp y)) (/ y 2)) (pow (cbrt (exp y)) (/ y 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow 1 (/ y 2)) (pow 1 (/ y 2))) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (* (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))) (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) (* (sqrt (pow (exp y) (/ y 2))) (sqrt (pow (exp y) (/ y 2)))) (* (sqrt (pow (exp y) (/ y 2))) (sqrt (pow (exp y) (/ y 2)))) (* 1 1) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (exp y) (/ (/ y 2) 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (exp y) (/ (/ y 2) 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (sqrt (exp y)) (/ y 2)) (sqrt (pow (exp y) (/ y 2)))) (* (pow (sqrt (exp y)) (/ y 2)) (sqrt (pow (exp y) (/ y 2)))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (exp y) (/ (/ y 2) 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (exp y) (/ (/ y 2) 2))) (* (sqrt (pow (exp y) (/ y 2))) (pow (sqrt (exp y)) (/ y 2))) (* (sqrt (pow (exp y) (/ y 2))) (pow (sqrt (exp y)) (/ y 2))) (* (sqrt (pow (exp y) (/ y 2))) (sqrt (pow (exp y) (/ y 2)))) (* (sqrt (pow (exp y) (/ y 2))) (sqrt (pow (exp y) (/ y 2)))) (* (sqrt (pow (exp y) (/ y 2))) (pow (exp y) (/ (/ y 2) 2))) (* (sqrt (pow (exp y) (/ y 2))) (pow (exp y) (/ (/ y 2) 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (exp y) (/ (/ y 2) 2)) (sqrt (pow (exp y) (/ y 2)))) (* (pow (exp y) (/ (/ y 2) 2)) (sqrt (pow (exp y) (/ y 2)))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (exp y) (/ (/ y 2) 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (exp y) (/ (/ y 2) 2))) (* 2 (/ y 2)) (* (pow (exp y) (/ y 2)) (pow (* (cbrt (exp y)) (cbrt (exp y))) (/ y 2))) (* (pow (exp y) (/ y 2)) (pow (sqrt (exp y)) (/ y 2))) (* (pow (exp y) (/ y 2)) (pow 1 (/ y 2))) (* (pow (exp y) (/ y 2)) (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2))))) (* (pow (exp y) (/ y 2)) (sqrt (pow (exp y) (/ y 2)))) (* (pow (exp y) (/ y 2)) 1) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ (/ y 2) 2))) (* (pow (cbrt (exp y)) (/ y 2)) (pow (exp y) (/ y 2))) (* (pow (sqrt (exp y)) (/ y 2)) (pow (exp y) (/ y 2))) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (* (cbrt (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2))) (* (sqrt (pow (exp y) (/ y 2))) (pow (exp y) (/ y 2))) (* (pow (exp y) (/ y 2)) (pow (exp y) (/ y 2))) (* (pow (exp y) (/ (/ y 2) 2)) (pow (exp y) (/ y 2))) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (pow (exp (* 1/2 (pow y 2))) 2) (pow (exp (* 1/2 (pow y 2))) 2) 0.307 * [simplify]: Sending expressions to egg_math: (expm1 (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (log1p (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (+ (/ h0 2) (/ h0 2)) (* (exp h0) (exp h0)) (+ (* h0 (/ h0 2)) (* h0 (/ h0 2))) (+ (* h0 (/ h0 2)) (* (log (exp h0)) (/ h0 2))) (+ (* h0 (/ h0 2)) (log (pow (exp h0) (/ h0 2)))) (+ (* (log (exp h0)) (/ h0 2)) (* h0 (/ h0 2))) (+ (* (log (exp h0)) (/ h0 2)) (* (log (exp h0)) (/ h0 2))) (+ (* (log (exp h0)) (/ h0 2)) (log (pow (exp h0) (/ h0 2)))) (+ (log (pow (exp h0) (/ h0 2))) (* h0 (/ h0 2))) (+ (log (pow (exp h0) (/ h0 2))) (* (log (exp h0)) (/ h0 2))) (+ (log (pow (exp h0) (/ h0 2))) (log (pow (exp h0) (/ h0 2)))) (log (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (exp (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (* (* (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ h0 2))) (* (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ h0 2)))) (* (cbrt (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (cbrt (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))))) (cbrt (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (* (* (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (sqrt (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (sqrt (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2)))) (* (pow (* (cbrt (exp h0)) (cbrt (exp h0))) (/ h0 2)) (pow (* (cbrt (exp h0)) (cbrt (exp h0))) (/ h0 2))) (* (pow (cbrt (exp h0)) (/ h0 2)) (pow (cbrt (exp h0)) (/ h0 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow 1 (/ h0 2)) (pow 1 (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2)))) (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2))))) (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2)))) (* (sqrt (pow (exp h0) (/ h0 2))) (sqrt (pow (exp h0) (/ h0 2)))) (* (sqrt (pow (exp h0) (/ h0 2))) (sqrt (pow (exp h0) (/ h0 2)))) (* 1 1) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (sqrt (pow (exp h0) (/ h0 2)))) (* (pow (sqrt (exp h0)) (/ h0 2)) (sqrt (pow (exp h0) (/ h0 2)))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (sqrt (pow (exp h0) (/ h0 2))) (pow (sqrt (exp h0)) (/ h0 2))) (* (sqrt (pow (exp h0) (/ h0 2))) (pow (sqrt (exp h0)) (/ h0 2))) (* (sqrt (pow (exp h0) (/ h0 2))) (sqrt (pow (exp h0) (/ h0 2)))) (* (sqrt (pow (exp h0) (/ h0 2))) (sqrt (pow (exp h0) (/ h0 2)))) (* (sqrt (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ (/ h0 2) 2))) (* (sqrt (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (sqrt (pow (exp h0) (/ h0 2)))) (* (pow (exp h0) (/ (/ h0 2) 2)) (sqrt (pow (exp h0) (/ h0 2)))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* 2 (/ h0 2)) (* (pow (exp h0) (/ h0 2)) (pow (* (cbrt (exp h0)) (cbrt (exp h0))) (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow (sqrt (exp h0)) (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow 1 (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2))))) (* (pow (exp h0) (/ h0 2)) (sqrt (pow (exp h0) (/ h0 2)))) (* (pow (exp h0) (/ h0 2)) 1) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ (/ h0 2) 2))) (* (pow (cbrt (exp h0)) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (pow (sqrt (exp h0)) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (cbrt (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ h0 2))) (* (sqrt (pow (exp h0) (/ h0 2))) (pow (exp h0) (/ h0 2))) (* (pow (exp h0) (/ h0 2)) (pow (exp h0) (/ h0 2))) (* (pow (exp h0) (/ (/ h0 2) 2)) (pow (exp h0) (/ h0 2))) (+ (pow h0 2) (+ (* 1/2 (pow h0 4)) 1)) (pow (exp (* 1/2 (pow h0 2))) 2) (pow (exp (* 1/2 (pow h0 2))) 2) 0.311 * * [simplify]: iteration 0 : 174 enodes (cost 442 ) 0.315 * * [simplify]: iteration 1 : 694 enodes (cost 396 ) 0.332 * * [simplify]: iteration 2 : 4412 enodes (cost 363 ) 0.435 * * [simplify]: iteration 3 : 5001 enodes (cost 363 ) 0.437 * * * [progress]: adding candidates to table 0.536 * * [progress]: iteration 3 / 4 0.536 * * * [progress]: picking best candidate 0.538 * * * * [pick]: Picked # 0.538 * * * [progress]: localizing error 0.548 * * * [progress]: generating rewritten candidates 0.548 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.565 * * * [progress]: generating series expansions 0.565 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.565 * [backup-simplify]: Simplify (cbrt (pow (pow (exp y) (/ y 2)) 6)) into (pow (pow (exp y) (* 1/2 y)) 2) 0.565 * [approximate]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in (y) around 0 0.565 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in y 0.565 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.565 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.565 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.565 * [taylor]: Taking taylor expansion of 1/2 in y 0.565 * [backup-simplify]: Simplify 1/2 into 1/2 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.565 * [taylor]: Taking taylor expansion of (exp y) in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (exp 0) into 1 0.566 * [backup-simplify]: Simplify (log 1) into 0 0.566 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.566 * [backup-simplify]: Simplify (* 0 0) into 0 0.567 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.568 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.569 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.571 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.572 * [backup-simplify]: Simplify (exp 0) into 1 0.572 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 2) in y 0.572 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.572 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.572 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.572 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.572 * [taylor]: Taking taylor expansion of 1/2 in y 0.572 * [backup-simplify]: Simplify 1/2 into 1/2 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.572 * [taylor]: Taking taylor expansion of (exp y) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (exp 0) into 1 0.572 * [backup-simplify]: Simplify (log 1) into 0 0.572 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.573 * [backup-simplify]: Simplify (* 0 0) into 0 0.573 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.574 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.575 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.575 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.577 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.578 * [backup-simplify]: Simplify (exp 0) into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/2 1) 1)))) into 1/2 0.580 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 0.580 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.584 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (* 0 0)))) into 0 0.587 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.595 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.599 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 0.599 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* 1/8 1))))) into 1/2 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.600 * [backup-simplify]: Simplify (+ (* 1/2 (pow y 4)) (+ (* 1 (pow y 2)) 1)) into (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) 0.600 * [backup-simplify]: Simplify (cbrt (pow (pow (exp (/ 1 y)) (/ (/ 1 y) 2)) 6)) into (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) 0.600 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in (y) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in y 0.600 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.600 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.600 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.600 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.600 * [taylor]: Taking taylor expansion of 1/2 in y 0.600 * [backup-simplify]: Simplify 1/2 into 1/2 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 1 into 1 0.600 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.601 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.601 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.601 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.601 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.601 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.601 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 2) in y 0.601 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.601 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.601 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.601 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.601 * [taylor]: Taking taylor expansion of 1/2 in y 0.601 * [backup-simplify]: Simplify 1/2 into 1/2 0.601 * [taylor]: Taking taylor expansion of y in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.602 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.602 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.602 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.602 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.602 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.602 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.603 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 2) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.603 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 y) 2))) 2) into (pow (exp (* 1/2 (pow y 2))) 2) 0.607 * [backup-simplify]: Simplify (cbrt (pow (pow (exp (/ 1 (- y))) (/ (/ 1 (- y)) 2)) 6)) into (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) 0.608 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in (y) around 0 0.608 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in y 0.608 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.608 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.608 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.608 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.608 * [taylor]: Taking taylor expansion of -1/2 in y 0.608 * [backup-simplify]: Simplify -1/2 into -1/2 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.608 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.608 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.608 * [taylor]: Taking taylor expansion of -1 in y 0.608 * [backup-simplify]: Simplify -1 into -1 0.608 * [taylor]: Taking taylor expansion of y in y 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ -1 1) into -1 0.608 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.608 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.609 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.609 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.609 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 2) in y 0.609 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.609 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.609 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.609 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.609 * [taylor]: Taking taylor expansion of -1/2 in y 0.609 * [backup-simplify]: Simplify -1/2 into -1/2 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.609 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.609 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.609 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.609 * [taylor]: Taking taylor expansion of -1 in y 0.609 * [backup-simplify]: Simplify -1 into -1 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ -1 1) into -1 0.609 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.610 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.610 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.610 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.610 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.610 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 2) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.610 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.613 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 (- y)) 2))) 2) into (pow (exp (* 1/2 (pow y 2))) 2) 0.615 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.615 * [backup-simplify]: Simplify (pow (pow (exp y) (/ y 2)) 6) into (pow (pow (exp y) (* 1/2 y)) 6) 0.615 * [approximate]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 6) in (y) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 6) in y 0.615 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.615 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.615 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.615 * [taylor]: Taking taylor expansion of 1/2 in y 0.615 * [backup-simplify]: Simplify 1/2 into 1/2 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.615 * [taylor]: Taking taylor expansion of (exp y) in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (exp 0) into 1 0.615 * [backup-simplify]: Simplify (log 1) into 0 0.616 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.616 * [backup-simplify]: Simplify (* 0 0) into 0 0.616 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.618 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.618 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.619 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.621 * [backup-simplify]: Simplify (exp 0) into 1 0.621 * [taylor]: Taking taylor expansion of (pow (pow (exp y) (* 1/2 y)) 6) in y 0.621 * [taylor]: Taking taylor expansion of (pow (exp y) (* 1/2 y)) in y 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 y) (log (exp y)))) in y 0.621 * [taylor]: Taking taylor expansion of (* (* 1/2 y) (log (exp y))) in y 0.621 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.621 * [taylor]: Taking taylor expansion of 1/2 in y 0.621 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [taylor]: Taking taylor expansion of (log (exp y)) in y 0.621 * [taylor]: Taking taylor expansion of (exp y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (exp 0) into 1 0.622 * [backup-simplify]: Simplify (log 1) into 0 0.622 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.622 * [backup-simplify]: Simplify (* 0 0) into 0 0.623 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 0.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.624 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.624 * [backup-simplify]: Simplify (+ (* 0 1) (* 1/2 0)) into 0 0.625 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 0.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 1) (* 0 0))) into 1/2 0.627 * [backup-simplify]: Simplify (exp 0) into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify (* 1 1) into 1 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/2 1) 1)))) into 1/2 0.631 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (* 1/2 1))) into 1 0.631 * [backup-simplify]: Simplify (+ (* 1 1) (+ (* 0 0) (* 1/2 1))) into 3/2 0.632 * [backup-simplify]: Simplify (+ (* 1 3/2) (+ (* 0 0) (* 3/2 1))) into 3 0.632 * [backup-simplify]: Simplify 3 into 3 0.633 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 0.636 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 0.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 1) (* 0 0)))) into 0 0.638 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1/2) (+ (* 1/2 0) (* 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (+ (* 1/2 0) (* 0 1)))) into 0 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 3/2) (+ (* 3/2 0) (* 0 1)))) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 0.654 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 0.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.657 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 0.658 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 0 0) (+ (* 1/2 1/2) (+ (* 0 0) (* 1/8 1))))) into 1/2 0.659 * [backup-simplify]: Simplify (+ (* 1 1/2) (+ (* 0 0) (+ (* 1/2 1) (+ (* 0 0) (* 1/8 1))))) into 9/8 0.660 * [backup-simplify]: Simplify (+ (* 1 9/8) (+ (* 0 0) (+ (* 3/2 3/2) (+ (* 0 0) (* 9/8 1))))) into 9/2 0.660 * [backup-simplify]: Simplify 9/2 into 9/2 0.660 * [backup-simplify]: Simplify (+ (* 9/2 (pow y 4)) (+ (* 3 (pow y 2)) 1)) into (+ (* 3 (pow y 2)) (+ (* 9/2 (pow y 4)) 1)) 0.660 * [backup-simplify]: Simplify (pow (pow (exp (/ 1 y)) (/ (/ 1 y) 2)) 6) into (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 6) 0.660 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 6) in (y) around 0 0.660 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 6) in y 0.660 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.660 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.660 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.660 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.660 * [taylor]: Taking taylor expansion of 1/2 in y 0.661 * [backup-simplify]: Simplify 1/2 into 1/2 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.661 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.661 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (/ 1 1) into 1 0.661 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.661 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.661 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.661 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.661 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ 1 y)) (/ 1/2 y)) 6) in y 0.662 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 y)) (/ 1/2 y)) in y 0.662 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) in y 0.662 * [taylor]: Taking taylor expansion of (* (/ 1/2 y) (log (exp (/ 1 y)))) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.662 * [taylor]: Taking taylor expansion of 1/2 in y 0.662 * [backup-simplify]: Simplify 1/2 into 1/2 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.662 * [taylor]: Taking taylor expansion of (log (exp (/ 1 y))) in y 0.662 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.662 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [backup-simplify]: Simplify (exp (/ 1 y)) into (exp (/ 1 y)) 0.662 * [backup-simplify]: Simplify (log (exp (/ 1 y))) into (/ 1 y) 0.662 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 0.663 * [backup-simplify]: Simplify (exp (* (/ 1/2 y) (log (exp (/ 1 y))))) into (exp (/ 1/2 (pow y 2))) 0.663 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.663 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (pow (exp (/ 1/2 (pow y 2))) 2)) into (pow (exp (/ 1/2 (pow y 2))) 3) 0.663 * [backup-simplify]: Simplify (* (pow (exp (/ 1/2 (pow y 2))) 3) (pow (exp (/ 1/2 (pow y 2))) 3)) into (pow (exp (/ 1/2 (pow y 2))) 6) 0.663 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 6) into (pow (exp (/ 1/2 (pow y 2))) 6) 0.664 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.664 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))) into 0 0.664 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))) into 0 0.664 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.665 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))) into 0 0.665 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))) into 0 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))))) into 0 0.668 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))))) into 0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.669 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))))) into 0 0.670 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))))) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.672 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))))))) into 0 0.673 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))))))) into 0 0.674 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.676 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))))))) into 0 0.678 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))))))) into 0 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 y) 2))) 6) into (pow (exp (* 1/2 (pow y 2))) 6) 0.678 * [backup-simplify]: Simplify (pow (pow (exp (/ 1 (- y))) (/ (/ 1 (- y)) 2)) 6) into (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 6) 0.678 * [approximate]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 6) in (y) around 0 0.678 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 6) in y 0.678 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.678 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.678 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.678 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.678 * [taylor]: Taking taylor expansion of -1/2 in y 0.678 * [backup-simplify]: Simplify -1/2 into -1/2 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.679 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.679 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.679 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.679 * [taylor]: Taking taylor expansion of -1 in y 0.679 * [backup-simplify]: Simplify -1 into -1 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (/ -1 1) into -1 0.679 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.679 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.679 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.679 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.679 * [taylor]: Taking taylor expansion of (pow (pow (exp (/ -1 y)) (/ -1/2 y)) 6) in y 0.679 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 y)) (/ -1/2 y)) in y 0.679 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) in y 0.679 * [taylor]: Taking taylor expansion of (* (/ -1/2 y) (log (exp (/ -1 y)))) in y 0.679 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.679 * [taylor]: Taking taylor expansion of -1/2 in y 0.679 * [backup-simplify]: Simplify -1/2 into -1/2 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.680 * [taylor]: Taking taylor expansion of (log (exp (/ -1 y))) in y 0.680 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.680 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.680 * [taylor]: Taking taylor expansion of -1 in y 0.680 * [backup-simplify]: Simplify -1 into -1 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ -1 1) into -1 0.680 * [backup-simplify]: Simplify (exp (/ -1 y)) into (exp (/ -1 y)) 0.680 * [backup-simplify]: Simplify (log (exp (/ -1 y))) into (/ -1 y) 0.680 * [backup-simplify]: Simplify (* -1/2 (/ -1 y)) into (/ 1/2 y) 0.681 * [backup-simplify]: Simplify (exp (* (/ -1/2 y) (log (exp (/ -1 y))))) into (exp (/ 1/2 (pow y 2))) 0.681 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (exp (/ 1/2 (pow y 2)))) into (pow (exp (/ 1/2 (pow y 2))) 2) 0.681 * [backup-simplify]: Simplify (* (exp (/ 1/2 (pow y 2))) (pow (exp (/ 1/2 (pow y 2))) 2)) into (pow (exp (/ 1/2 (pow y 2))) 3) 0.681 * [backup-simplify]: Simplify (* (pow (exp (/ 1/2 (pow y 2))) 3) (pow (exp (/ 1/2 (pow y 2))) 3)) into (pow (exp (/ 1/2 (pow y 2))) 6) 0.681 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow y 2))) 6) into (pow (exp (/ 1/2 (pow y 2))) 6) 0.682 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (exp (/ 1/2 (pow y 2))))) into 0 0.682 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))) into 0 0.682 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))) into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))) into 0 0.683 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))) into 0 0.683 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))) into 0 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))) into 0 0.685 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))))) into 0 0.686 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))))) into 0 0.686 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))) into 0 0.687 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))))) into 0 0.688 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))))) into 0 0.688 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2))))))))) into 0 0.691 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2))))))) into 0 0.692 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3))))))) into 0 0.692 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 (pow y 2)))))))))) into 0 0.694 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 (pow y 2))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 2)))))))) into 0 0.695 * [backup-simplify]: Simplify (+ (* (pow (exp (/ 1/2 (pow y 2))) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (/ 1/2 (pow y 2))) 3)))))))) into 0 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify (pow (exp (/ 1/2 (pow (/ 1 (- y)) 2))) 6) into (pow (exp (* 1/2 (pow y 2))) 6) 0.696 * * * [progress]: simplifying candidates 0.697 * [simplify]: Simplifying: (expm1 (cbrt (pow (pow (exp y) (/ y 2)) 6))) (log1p (cbrt (pow (pow (exp y) (/ y 2)) 6))) (log (cbrt (pow (pow (exp y) (/ y 2)) 6))) (exp (cbrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (pow (pow (* (cbrt (exp y)) (cbrt (exp y))) (/ y 2)) 6)) (cbrt (pow (pow (cbrt (exp y)) (/ y 2)) 6)) (cbrt (pow (pow (sqrt (exp y)) (/ y 2)) 6)) (cbrt (pow (pow (sqrt (exp y)) (/ y 2)) 6)) (cbrt (pow (pow 1 (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) 6)) (cbrt (pow (cbrt (pow (exp y) (/ y 2))) 6)) (cbrt (pow (sqrt (pow (exp y) (/ y 2))) 6)) (cbrt (pow (sqrt (pow (exp y) (/ y 2))) 6)) (cbrt (pow 1 6)) (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ (/ y 2) 2)) 6)) (cbrt (pow (pow (exp y) (/ (/ y 2) 2)) 6)) (cbrt (* (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ y 2)) 6)))) (cbrt (cbrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (sqrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (sqrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt 1) (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ y 2)) (/ 6 2))) (cbrt (pow (pow (exp y) (/ y 2)) (/ 6 2))) (* (cbrt (cbrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (cbrt (pow (pow (exp y) (/ y 2)) 6)))) (cbrt (cbrt (pow (pow (exp y) (/ y 2)) 6))) (* (* (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (pow (pow (exp y) (/ y 2)) 6))) (sqrt (cbrt (pow (pow (exp y) (/ y 2)) 6))) (sqrt (cbrt (pow (pow (exp y) (/ y 2)) 6))) (expm1 (pow (pow (exp y) (/ y 2)) 6)) (log1p (pow (pow (exp y) (/ y 2)) 6)) (* (* y (/ y 2)) 6) (* (* (log (exp y)) (/ y 2)) 6) (* (log (pow (exp y) (/ y 2))) 6) (* (log (pow (exp y) (/ y 2))) 6) (* (/ y 2) 6) (pow (pow (exp y) (/ y 2)) (* (cbrt 6) (cbrt 6))) (pow (pow (exp y) (/ y 2)) (sqrt 6)) (pow (pow (exp y) (/ y 2)) 1) (pow (pow (* (cbrt (exp y)) (cbrt (exp y))) (/ y 2)) 6) (pow (pow (cbrt (exp y)) (/ y 2)) 6) (pow (pow (sqrt (exp y)) (/ y 2)) 6) (pow (pow (sqrt (exp y)) (/ y 2)) 6) (pow (pow 1 (/ y 2)) 6) (pow (pow (exp y) (/ y 2)) 6) (pow (* (cbrt (pow (exp y) (/ y 2))) (cbrt (pow (exp y) (/ y 2)))) 6) (pow (cbrt (pow (exp y) (/ y 2))) 6) (pow (sqrt (pow (exp y) (/ y 2))) 6) (pow (sqrt (pow (exp y) (/ y 2))) 6) (pow 1 6) (pow (pow (exp y) (/ y 2)) 6) (pow (pow (exp y) (/ (/ y 2) 2)) 6) (pow (pow (exp y) (/ (/ y 2) 2)) 6) (log (pow (pow (exp y) (/ y 2)) 6)) (exp (pow (pow (exp y) (/ y 2)) 6)) (* (cbrt (pow (pow (exp y) (/ y 2)) 6)) (cbrt (pow (pow (exp y) (/ y 2)) 6))) (cbrt (pow (pow (exp y) (/ y 2)) 6)) (* (* (pow (pow (exp y) (/ y 2)) 6) (pow (pow (exp y) (/ y 2)) 6)) (pow (pow (exp y) (/ y 2)) 6)) (sqrt (pow (pow (exp y) (/ y 2)) 6)) (sqrt (pow (pow (exp y) (/ y 2)) 6)) (pow (pow (exp y) (/ y 2)) (/ 6 2)) (pow (pow (exp y) (/ y 2)) (/ 6 2)) (+ (pow y 2) (+ (* 1/2 (pow y 4)) 1)) (pow (exp (* 1/2 (pow y 2))) 2) (pow (exp (* 1/2 (pow y 2))) 2) (+ (* 3 (pow y 2)) (+ (* 9/2 (pow y 4)) 1)) (pow (exp (* 1/2 (pow y 2))) 6) (pow (exp (* 1/2 (pow y 2))) 6) 0.697 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (log1p (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (log (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (exp (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (pow (pow (* (cbrt (exp h0)) (cbrt (exp h0))) (/ h0 2)) 6)) (cbrt (pow (pow (cbrt (exp h0)) (/ h0 2)) 6)) (cbrt (pow (pow (sqrt (exp h0)) (/ h0 2)) 6)) (cbrt (pow (pow (sqrt (exp h0)) (/ h0 2)) 6)) (cbrt (pow (pow 1 (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2)))) 6)) (cbrt (pow (cbrt (pow (exp h0) (/ h0 2))) 6)) (cbrt (pow (sqrt (pow (exp h0) (/ h0 2))) 6)) (cbrt (pow (sqrt (pow (exp h0) (/ h0 2))) 6)) (cbrt (pow 1 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ (/ h0 2) 2)) 6)) (cbrt (pow (pow (exp h0) (/ (/ h0 2) 2)) 6)) (cbrt (* (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) 6)))) (cbrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (sqrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (sqrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt 1) (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) (/ 6 2))) (cbrt (pow (pow (exp h0) (/ h0 2)) (/ 6 2))) (* (cbrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6)))) (cbrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (* (* (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (sqrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (sqrt (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (expm1 (pow (pow (exp h0) (/ h0 2)) 6)) (log1p (pow (pow (exp h0) (/ h0 2)) 6)) (* (* h0 (/ h0 2)) 6) (* (* (log (exp h0)) (/ h0 2)) 6) (* (log (pow (exp h0) (/ h0 2))) 6) (* (log (pow (exp h0) (/ h0 2))) 6) (* (/ h0 2) 6) (pow (pow (exp h0) (/ h0 2)) (* (cbrt 6) (cbrt 6))) (pow (pow (exp h0) (/ h0 2)) (sqrt 6)) (pow (pow (exp h0) (/ h0 2)) 1) (pow (pow (* (cbrt (exp h0)) (cbrt (exp h0))) (/ h0 2)) 6) (pow (pow (cbrt (exp h0)) (/ h0 2)) 6) (pow (pow (sqrt (exp h0)) (/ h0 2)) 6) (pow (pow (sqrt (exp h0)) (/ h0 2)) 6) (pow (pow 1 (/ h0 2)) 6) (pow (pow (exp h0) (/ h0 2)) 6) (pow (* (cbrt (pow (exp h0) (/ h0 2))) (cbrt (pow (exp h0) (/ h0 2)))) 6) (pow (cbrt (pow (exp h0) (/ h0 2))) 6) (pow (sqrt (pow (exp h0) (/ h0 2))) 6) (pow (sqrt (pow (exp h0) (/ h0 2))) 6) (pow 1 6) (pow (pow (exp h0) (/ h0 2)) 6) (pow (pow (exp h0) (/ (/ h0 2) 2)) 6) (pow (pow (exp h0) (/ (/ h0 2) 2)) 6) (log (pow (pow (exp h0) (/ h0 2)) 6)) (exp (pow (pow (exp h0) (/ h0 2)) 6)) (* (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (cbrt (pow (pow (exp h0) (/ h0 2)) 6))) (cbrt (pow (pow (exp h0) (/ h0 2)) 6)) (* (* (pow (pow (exp h0) (/ h0 2)) 6) (pow (pow (exp h0) (/ h0 2)) 6)) (pow (pow (exp h0) (/ h0 2)) 6)) (sqrt (pow (pow (exp h0) (/ h0 2)) 6)) (sqrt (pow (pow (exp h0) (/ h0 2)) 6)) (pow (pow (exp h0) (/ h0 2)) (/ 6 2)) (pow (pow (exp h0) (/ h0 2)) (/ 6 2)) (+ (pow h0 2) (+ (* 1/2 (pow h0 4)) 1)) (pow (exp (* 1/2 (pow h0 2))) 2) (pow (exp (* 1/2 (pow h0 2))) 2) (+ (* 3 (pow h0 2)) (+ (* 9/2 (pow h0 4)) 1)) (pow (exp (* 1/2 (pow h0 2))) 6) (pow (exp (* 1/2 (pow h0 2))) 6) 0.701 * * [simplify]: iteration 0 : 188 enodes (cost 374 ) 0.705 * * [simplify]: iteration 1 : 627 enodes (cost 331 ) 0.720 * * [simplify]: iteration 2 : 3182 enodes (cost 318 ) 0.855 * * [simplify]: iteration 3 : 5002 enodes (cost 311 ) 0.857 * * * [progress]: adding candidates to table 0.969 * [progress]: [Phase 3 of 3] Extracting. 0.969 * * [regime]: Finding splitpoints for: (# #) 0.969 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.969 * * * * [regimes]: Trying to branch on y from (# #) 0.980 * * * * [regimes]: Trying to branch on x from (# #) 0.992 * * * [regime]: Found split indices: #