17.659 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ (* x y) (* (* z z) (+ z 1.0))) 0.023 * [simplify]: Sending expressions to egg_math: (/ (* h0 h1) (* (* h2 h2) (+ h2 h3))) 0.027 * * [simplify]: iteration 0 : 27 enodes (cost 5 ) 0.029 * * [simplify]: iteration 1 : 78 enodes (cost 5 ) 0.032 * * [simplify]: iteration 2 : 179 enodes (cost 5 ) 0.036 * * [simplify]: iteration 3 : 277 enodes (cost 5 ) 0.041 * * [simplify]: iteration 4 : 375 enodes (cost 5 ) 0.047 * * [simplify]: iteration 5 : 488 enodes (cost 5 ) 0.057 * * [simplify]: iteration 6 : 977 enodes (cost 5 ) 0.081 * * [simplify]: iteration 7 : 2511 enodes (cost 5 ) 0.158 * * [simplify]: iteration 8 : 5002 enodes (cost 5 ) 0.159 * [simplify]: Simplified to: (/ (* x y) (* (* z z) (+ z 1.0))) 0.159 * * [progress]: iteration 1 / 4 0.159 * * * [progress]: picking best candidate 0.161 * * * * [pick]: Picked # 0.161 * * * [progress]: localizing error 0.169 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.201 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.234 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in (x y z) around 0 0.235 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.235 * [taylor]: Taking taylor expansion of (* x y) in z 0.235 * [taylor]: Taking taylor expansion of x in z 0.235 * [taylor]: Taking taylor expansion of y in z 0.235 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in z 0.235 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.235 * [taylor]: Taking taylor expansion of z in z 0.235 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.235 * [taylor]: Taking taylor expansion of z in z 0.235 * [taylor]: Taking taylor expansion of 1.0 in z 0.236 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.236 * [taylor]: Taking taylor expansion of (* x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in y 0.236 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.236 * [taylor]: Taking taylor expansion of z in y 0.236 * [taylor]: Taking taylor expansion of (+ z 1.0) in y 0.236 * [taylor]: Taking taylor expansion of z in y 0.236 * [taylor]: Taking taylor expansion of 1.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in x 0.237 * [taylor]: Taking taylor expansion of (* x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in x 0.237 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.237 * [taylor]: Taking taylor expansion of z in x 0.237 * [taylor]: Taking taylor expansion of (+ z 1.0) in x 0.237 * [taylor]: Taking taylor expansion of z in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.238 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in x 0.238 * [taylor]: Taking taylor expansion of (* x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in x 0.238 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.238 * [taylor]: Taking taylor expansion of z in x 0.238 * [taylor]: Taking taylor expansion of (+ z 1.0) in x 0.238 * [taylor]: Taking taylor expansion of z in x 0.238 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ y (* (+ z 1.0) (pow z 2))) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (* (+ z 1.0) (pow z 2)) in y 0.239 * [taylor]: Taking taylor expansion of (+ z 1.0) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.239 * [taylor]: Taking taylor expansion of z in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (+ z 1.0))) in z 0.239 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in z 0.239 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.239 * [taylor]: Taking taylor expansion of z in z 0.239 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.239 * [taylor]: Taking taylor expansion of z in z 0.239 * [taylor]: Taking taylor expansion of 1.0 in z 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in z 0.243 * [taylor]: Taking taylor expansion of 0 in z 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.248 * [taylor]: Taking taylor expansion of 0 in z 0.249 * [taylor]: Taking taylor expansion of 0 in z 0.254 * [approximate]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in (x y z) around 0 0.254 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.254 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.254 * [taylor]: Taking taylor expansion of z in z 0.254 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in z 0.254 * [taylor]: Taking taylor expansion of x in z 0.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in z 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.254 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.254 * [taylor]: Taking taylor expansion of z in z 0.254 * [taylor]: Taking taylor expansion of 1.0 in z 0.254 * [taylor]: Taking taylor expansion of y in z 0.255 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.255 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.255 * [taylor]: Taking taylor expansion of z in y 0.255 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in y 0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.255 * [taylor]: Taking taylor expansion of z in y 0.255 * [taylor]: Taking taylor expansion of 1.0 in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in x 0.257 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.257 * [taylor]: Taking taylor expansion of z in x 0.257 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.257 * [taylor]: Taking taylor expansion of z in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in x 0.258 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.258 * [taylor]: Taking taylor expansion of z in x 0.258 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.258 * [taylor]: Taking taylor expansion of z in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ (pow z 2) (+ (/ y z) (* 1.0 y))) in y 0.259 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ y z) (* 1.0 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ y z) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of z in y 0.259 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.259 * [taylor]: Taking taylor expansion of 1.0 in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ (pow z 2) (+ (/ 1 z) 1.0)) in z 0.261 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.261 * [taylor]: Taking taylor expansion of z in z 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.261 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.261 * [taylor]: Taking taylor expansion of z in z 0.262 * [taylor]: Taking taylor expansion of 1.0 in z 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in z 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in z 0.273 * [taylor]: Taking taylor expansion of 0 in z 0.281 * [approximate]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in (x y z) around 0 0.281 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.281 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.281 * [taylor]: Taking taylor expansion of z in z 0.281 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in z 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.281 * [taylor]: Taking taylor expansion of 1.0 in z 0.281 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.281 * [taylor]: Taking taylor expansion of z in z 0.282 * [taylor]: Taking taylor expansion of (* x y) in z 0.282 * [taylor]: Taking taylor expansion of x in z 0.282 * [taylor]: Taking taylor expansion of y in z 0.283 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.283 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.283 * [taylor]: Taking taylor expansion of z in y 0.283 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in y 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.283 * [taylor]: Taking taylor expansion of z in y 0.283 * [taylor]: Taking taylor expansion of (* x y) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in x 0.284 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.284 * [taylor]: Taking taylor expansion of z in x 0.284 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in x 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.284 * [taylor]: Taking taylor expansion of z in x 0.285 * [taylor]: Taking taylor expansion of (* x y) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in x 0.286 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.286 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.286 * [taylor]: Taking taylor expansion of z in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (/ (pow z 2) (- (* 1.0 y) (/ y z))) in y 0.288 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.288 * [taylor]: Taking taylor expansion of z in y 0.288 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (/ y z)) in y 0.288 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ y z) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of z in y 0.290 * [taylor]: Taking taylor expansion of (/ (pow z 2) (- 1.0 (/ 1 z))) in z 0.290 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.290 * [taylor]: Taking taylor expansion of z in z 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.290 * [taylor]: Taking taylor expansion of 1.0 in z 0.290 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.290 * [taylor]: Taking taylor expansion of z in z 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [taylor]: Taking taylor expansion of 0 in z 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in z 0.302 * [taylor]: Taking taylor expansion of 0 in z 0.308 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.308 * [approximate]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in (z) around 0 0.308 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in z 0.308 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.308 * [taylor]: Taking taylor expansion of z in z 0.308 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.308 * [taylor]: Taking taylor expansion of z in z 0.308 * [taylor]: Taking taylor expansion of 1.0 in z 0.308 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in z 0.308 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.308 * [taylor]: Taking taylor expansion of z in z 0.308 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.308 * [taylor]: Taking taylor expansion of z in z 0.308 * [taylor]: Taking taylor expansion of 1.0 in z 0.321 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 z) 1.0) (pow z 2)) in (z) around 0 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) 1.0) (pow z 2)) in z 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.321 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.321 * [taylor]: Taking taylor expansion of z in z 0.322 * [taylor]: Taking taylor expansion of 1.0 in z 0.322 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.322 * [taylor]: Taking taylor expansion of z in z 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 z) 1.0) (pow z 2)) in z 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.323 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.323 * [taylor]: Taking taylor expansion of z in z 0.323 * [taylor]: Taking taylor expansion of 1.0 in z 0.323 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.323 * [taylor]: Taking taylor expansion of z in z 0.339 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 z)) (pow z 2)) in (z) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 z)) (pow z 2)) in z 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.339 * [taylor]: Taking taylor expansion of 1.0 in z 0.339 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.339 * [taylor]: Taking taylor expansion of z in z 0.339 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.339 * [taylor]: Taking taylor expansion of z in z 0.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 z)) (pow z 2)) in z 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.340 * [taylor]: Taking taylor expansion of 1.0 in z 0.340 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.340 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.340 * [taylor]: Taking taylor expansion of z in z 0.359 * * * [progress]: simplifying candidates 0.360 * [simplify]: Simplifying using # : (expm1 (/ (* x y) (* (* z z) (+ z 1.0)))) (log1p (/ (* x y) (* (* z z) (+ z 1.0)))) (- (+ (log x) (log y)) (+ (+ (log z) (log z)) (log (+ z 1.0)))) (- (+ (log x) (log y)) (+ (log (* z z)) (log (+ z 1.0)))) (- (+ (log x) (log y)) (log (* (* z z) (+ z 1.0)))) (- (log (* x y)) (+ (+ (log z) (log z)) (log (+ z 1.0)))) (- (log (* x y)) (+ (log (* z z)) (log (+ z 1.0)))) (- (log (* x y)) (log (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (exp (/ (* x y) (* (* z z) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)))) (* (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0))))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (* (* (/ (* x y) (* (* z z) (+ z 1.0))) (/ (* x y) (* (* z z) (+ z 1.0)))) (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (- (* x y)) (- (* (* z z) (+ z 1.0))) (/ x (* z z)) (/ y (+ z 1.0)) (/ 1 (* (* z z) (+ z 1.0))) (/ (* (* z z) (+ z 1.0)) (* x y)) (/ (* x y) (* z z)) (/ (* (* z z) (+ z 1.0)) y) (/ (* x y) (* (* z z) (+ (pow z 3) (pow 1.0 3)))) (/ (* x y) (* (* z z) (- (* z z) (* 1.0 1.0)))) (expm1 (* (* z z) (+ z 1.0))) (log1p (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (+ (+ (log z) (log z)) (log (+ z 1.0))) (+ (log (* z z)) (log (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (exp (* (* z z) (+ z 1.0))) (* (* (* (* z z) z) (* (* z z) z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (* (* (* z z) (* z z)) (* z z)) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (cbrt (* (* z z) (+ z 1.0))) (cbrt (* (* z z) (+ z 1.0)))) (cbrt (* (* z z) (+ z 1.0))) (* (* (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* (* z z) z) (* (* z z) 1.0) (* z (* z z)) (* 1.0 (* z z)) (* (* z z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (* (* z z) (sqrt (+ z 1.0))) (* (* z z) 1) (* (* z z) 1) (* z (+ z 1.0)) (* (* z z) (+ (pow z 3) (pow 1.0 3))) (* (* z z) (- (* z z) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (/ (* x y) (pow z 2)))) (* 1.0 (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (+ (pow z 3) (* 1.0 (pow z 2))) (+ (pow z 3) (* 1.0 (pow z 2))) (+ (pow z 3) (* 1.0 (pow z 2))) 0.360 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (log1p (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (- (+ (log h0) (log h1)) (+ (+ (log h2) (log h2)) (log (+ h2 h3)))) (- (+ (log h0) (log h1)) (+ (log (* h2 h2)) (log (+ h2 h3)))) (- (+ (log h0) (log h1)) (log (* (* h2 h2) (+ h2 h3)))) (- (log (* h0 h1)) (+ (+ (log h2) (log h2)) (log (+ h2 h3)))) (- (log (* h0 h1)) (+ (log (* h2 h2)) (log (+ h2 h3)))) (- (log (* h0 h1)) (log (* (* h2 h2) (+ h2 h3)))) (log (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (exp (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* (* h2 h2) h2) (* (* h2 h2) h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3)))) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* (* h2 h2) (* h2 h2)) (* h2 h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3)))) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (* (* h2 h2) (+ h2 h3)) (* (* h2 h2) (+ h2 h3))) (* (* h2 h2) (+ h2 h3)))) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* (* h2 h2) h2) (* (* h2 h2) h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3)))) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* (* h2 h2) (* h2 h2)) (* h2 h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3)))) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (* (* h2 h2) (+ h2 h3)) (* (* h2 h2) (+ h2 h3))) (* (* h2 h2) (+ h2 h3)))) (* (cbrt (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (cbrt (/ (* h0 h1) (* (* h2 h2) (+ h2 h3))))) (cbrt (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (* (* (/ (* h0 h1) (* (* h2 h2) (+ h2 h3))) (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (sqrt (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (sqrt (/ (* h0 h1) (* (* h2 h2) (+ h2 h3)))) (- (* h0 h1)) (- (* (* h2 h2) (+ h2 h3))) (/ h0 (* h2 h2)) (/ h1 (+ h2 h3)) (/ 1 (* (* h2 h2) (+ h2 h3))) (/ (* (* h2 h2) (+ h2 h3)) (* h0 h1)) (/ (* h0 h1) (* h2 h2)) (/ (* (* h2 h2) (+ h2 h3)) h1) (/ (* h0 h1) (* (* h2 h2) (+ (pow h2 3) (pow h3 3)))) (/ (* h0 h1) (* (* h2 h2) (- (* h2 h2) (* h3 h3)))) (expm1 (* (* h2 h2) (+ h2 h3))) (log1p (* (* h2 h2) (+ h2 h3))) (* (* h2 h2) (+ h2 h3)) (* (* h2 h2) (+ h2 h3)) (+ (+ (log h2) (log h2)) (log (+ h2 h3))) (+ (log (* h2 h2)) (log (+ h2 h3))) (log (* (* h2 h2) (+ h2 h3))) (exp (* (* h2 h2) (+ h2 h3))) (* (* (* (* h2 h2) h2) (* (* h2 h2) h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3))) (* (* (* (* h2 h2) (* h2 h2)) (* h2 h2)) (* (* (+ h2 h3) (+ h2 h3)) (+ h2 h3))) (* (cbrt (* (* h2 h2) (+ h2 h3))) (cbrt (* (* h2 h2) (+ h2 h3)))) (cbrt (* (* h2 h2) (+ h2 h3))) (* (* (* (* h2 h2) (+ h2 h3)) (* (* h2 h2) (+ h2 h3))) (* (* h2 h2) (+ h2 h3))) (sqrt (* (* h2 h2) (+ h2 h3))) (sqrt (* (* h2 h2) (+ h2 h3))) (* h2 (sqrt (+ h2 h3))) (* h2 (sqrt (+ h2 h3))) (* (* h2 h2) h2) (* (* h2 h2) h3) (* h2 (* h2 h2)) (* h3 (* h2 h2)) (* (* h2 h2) (* (cbrt (+ h2 h3)) (cbrt (+ h2 h3)))) (* (* h2 h2) (sqrt (+ h2 h3))) (* (* h2 h2) 1) (* (* h2 h2) 1) (* h2 (+ h2 h3)) (* (* h2 h2) (+ (pow h2 3) (pow h3 3))) (* (* h2 h2) (- (* h2 h2) (* h3 h3))) (- (+ (* h3 (* h0 h1)) (* h3 (/ (* h0 h1) (pow h2 2)))) (* h3 (/ (* h0 h1) h2))) (- (+ (* h3 (/ (* h0 h1) (pow h2 5))) (/ (* h0 h1) (pow h2 3))) (* h3 (/ (* h0 h1) (pow h2 4)))) (- (+ (* h3 (/ (* h0 h1) (pow h2 5))) (/ (* h0 h1) (pow h2 3))) (* h3 (/ (* h0 h1) (pow h2 4)))) (+ (pow h2 3) (* h3 (pow h2 2))) (+ (pow h2 3) (* h3 (pow h2 2))) (+ (pow h2 3) (* h3 (pow h2 2))) 0.366 * * [simplify]: iteration 0 : 387 enodes (cost 405 ) 0.378 * * [simplify]: iteration 1 : 2384 enodes (cost 314 ) 0.429 * * [simplify]: iteration 2 : 5001 enodes (cost 313 ) 0.431 * [simplify]: Simplified to: (expm1 (/ (* x y) (* (* z z) (+ z 1.0)))) (log1p (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (log (/ (* x y) (* (* z z) (+ z 1.0)))) (exp (/ (* x y) (* (* z z) (+ z 1.0)))) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (* (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0))))) (cbrt (/ (* x y) (* (* z z) (+ z 1.0)))) (pow (/ (* x y) (* (* z z) (+ z 1.0))) 3) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (sqrt (/ (* x y) (* (* z z) (+ z 1.0)))) (- (* x y)) (- (* (* z z) (+ z 1.0))) (/ x (* z z)) (/ y (+ z 1.0)) (/ 1 (* (* z z) (+ z 1.0))) (/ (* (* z z) (+ z 1.0)) (* x y)) (/ (* x y) (* z z)) (/ (* (* z z) (+ z 1.0)) y) (/ (* x y) (* (* z z) (+ (pow z 3) (pow 1.0 3)))) (/ (* x y) (* (* z z) (- (* z z) (* 1.0 1.0)))) (expm1 (* (* z z) (+ z 1.0))) (log1p (* (* z z) (+ z 1.0))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (log (* (* z z) (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (log (* (* z z) (+ z 1.0))) (exp (* (* z z) (+ z 1.0))) (pow (* (* z z) (+ z 1.0)) 3) (pow (* (* z z) (+ z 1.0)) 3) (* (cbrt (* (* z z) (+ z 1.0))) (cbrt (* (* z z) (+ z 1.0)))) (cbrt (* (* z z) (+ z 1.0))) (pow (* (* z z) (+ z 1.0)) 3) (sqrt (* (* z z) (+ z 1.0))) (sqrt (* (* z z) (+ z 1.0))) (* z (sqrt (+ z 1.0))) (* z (sqrt (+ z 1.0))) (pow z 3) (* (* z z) 1.0) (pow z 3) (* (* z z) 1.0) (* (* z z) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (* (* z z) (sqrt (+ z 1.0))) (pow z 2) (pow z 2) (* z (+ z 1.0)) (fma (pow z 2) (pow 1.0 3) (pow z 5)) (* (* z z) (- (* z z) (* 1.0 1.0))) (* 1.0 (- (fma y x (/ (* x y) (* z z))) (/ (* x y) z))) (fma 1.0 (/ (* x y) (pow z 5)) (- (/ (* x y) (pow z 3)) (* 1.0 (/ (* x y) (pow z 4))))) (fma 1.0 (/ (* x y) (pow z 5)) (- (/ (* x y) (pow z 3)) (* 1.0 (/ (* x y) (pow z 4))))) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) (* (* z z) (+ z 1.0)) 0.432 * * * [progress]: adding candidates to table 0.545 * * [progress]: iteration 2 / 4 0.546 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.565 * * * [progress]: localizing error 0.573 * * * [progress]: generating rewritten candidates 0.573 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.581 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.633 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.648 * * * [progress]: generating series expansions 0.648 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.648 * [approximate]: Taking taylor expansion of (/ x (pow z 2)) in (x z) around 0 0.648 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in z 0.648 * [taylor]: Taking taylor expansion of x in z 0.648 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.648 * [taylor]: Taking taylor expansion of z in z 0.649 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.649 * [taylor]: Taking taylor expansion of z in x 0.649 * [taylor]: Taking taylor expansion of (/ x (pow z 2)) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.649 * [taylor]: Taking taylor expansion of z in x 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.650 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.650 * [taylor]: Taking taylor expansion of z in z 0.651 * [taylor]: Taking taylor expansion of 0 in z 0.652 * [taylor]: Taking taylor expansion of 0 in z 0.654 * [taylor]: Taking taylor expansion of 0 in z 0.657 * [taylor]: Taking taylor expansion of 0 in z 0.657 * [approximate]: Taking taylor expansion of (/ (pow z 2) x) in (x z) around 0 0.657 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.657 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.657 * [taylor]: Taking taylor expansion of z in z 0.657 * [taylor]: Taking taylor expansion of x in z 0.658 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in x 0.658 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.658 * [taylor]: Taking taylor expansion of z in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in x 0.658 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.658 * [taylor]: Taking taylor expansion of z in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.658 * [taylor]: Taking taylor expansion of z in z 0.659 * [taylor]: Taking taylor expansion of 0 in z 0.661 * [taylor]: Taking taylor expansion of 0 in z 0.663 * [taylor]: Taking taylor expansion of 0 in z 0.663 * [approximate]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in (x z) around 0 0.663 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in z 0.663 * [taylor]: Taking taylor expansion of -1 in z 0.664 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in z 0.664 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.664 * [taylor]: Taking taylor expansion of z in z 0.664 * [taylor]: Taking taylor expansion of x in z 0.664 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in x 0.664 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.664 * [taylor]: Taking taylor expansion of z in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (* -1 (/ (pow z 2) x)) in x 0.664 * [taylor]: Taking taylor expansion of -1 in x 0.664 * [taylor]: Taking taylor expansion of (/ (pow z 2) x) in x 0.664 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.664 * [taylor]: Taking taylor expansion of z in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* -1 (pow z 2)) in z 0.665 * [taylor]: Taking taylor expansion of -1 in z 0.665 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.665 * [taylor]: Taking taylor expansion of z in z 0.666 * [taylor]: Taking taylor expansion of 0 in z 0.669 * [taylor]: Taking taylor expansion of 0 in z 0.673 * [taylor]: Taking taylor expansion of 0 in z 0.673 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.674 * [approximate]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in (x z y) around 0 0.674 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in y 0.674 * [taylor]: Taking taylor expansion of (* x y) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in y 0.674 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.674 * [taylor]: Taking taylor expansion of (+ z 1.0) in y 0.674 * [taylor]: Taking taylor expansion of z in y 0.674 * [taylor]: Taking taylor expansion of 1.0 in y 0.675 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in z 0.675 * [taylor]: Taking taylor expansion of (* x y) in z 0.675 * [taylor]: Taking taylor expansion of x in z 0.675 * [taylor]: Taking taylor expansion of y in z 0.675 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in z 0.675 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.675 * [taylor]: Taking taylor expansion of z in z 0.675 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.675 * [taylor]: Taking taylor expansion of z in z 0.675 * [taylor]: Taking taylor expansion of 1.0 in z 0.676 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in x 0.676 * [taylor]: Taking taylor expansion of (* x y) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in x 0.676 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.676 * [taylor]: Taking taylor expansion of z in x 0.676 * [taylor]: Taking taylor expansion of (+ z 1.0) in x 0.676 * [taylor]: Taking taylor expansion of z in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ (* x y) (* (pow z 2) (+ z 1.0))) in x 0.676 * [taylor]: Taking taylor expansion of (* x y) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (* (pow z 2) (+ z 1.0)) in x 0.676 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.676 * [taylor]: Taking taylor expansion of z in x 0.676 * [taylor]: Taking taylor expansion of (+ z 1.0) in x 0.676 * [taylor]: Taking taylor expansion of z in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (/ y (* (+ z 1.0) (pow z 2))) in z 0.677 * [taylor]: Taking taylor expansion of y in z 0.677 * [taylor]: Taking taylor expansion of (* (+ z 1.0) (pow z 2)) in z 0.677 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.677 * [taylor]: Taking taylor expansion of z in z 0.677 * [taylor]: Taking taylor expansion of 1.0 in z 0.677 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.677 * [taylor]: Taking taylor expansion of z in z 0.678 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.678 * [taylor]: Taking taylor expansion of 1.0 in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 0 in z 0.682 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 0.682 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.682 * [taylor]: Taking taylor expansion of 1.0 in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of 0 in z 0.688 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.688 * [taylor]: Taking taylor expansion of 1.0 in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in (x z y) around 0 0.691 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in y 0.691 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.691 * [taylor]: Taking taylor expansion of z in y 0.691 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in y 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.691 * [taylor]: Taking taylor expansion of z in y 0.691 * [taylor]: Taking taylor expansion of 1.0 in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in z 0.692 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.692 * [taylor]: Taking taylor expansion of z in z 0.692 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in z 0.692 * [taylor]: Taking taylor expansion of x in z 0.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in z 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.692 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.692 * [taylor]: Taking taylor expansion of z in z 0.693 * [taylor]: Taking taylor expansion of 1.0 in z 0.693 * [taylor]: Taking taylor expansion of y in z 0.693 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in x 0.693 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.693 * [taylor]: Taking taylor expansion of z in x 0.693 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in x 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.693 * [taylor]: Taking taylor expansion of z in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* x (* (+ (/ 1 z) 1.0) y))) in x 0.695 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.695 * [taylor]: Taking taylor expansion of z in x 0.695 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 z) 1.0) y)) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.695 * [taylor]: Taking taylor expansion of z in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of (/ (pow z 2) (+ (/ y z) (* 1.0 y))) in z 0.696 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.696 * [taylor]: Taking taylor expansion of z in z 0.696 * [taylor]: Taking taylor expansion of (+ (/ y z) (* 1.0 y)) in z 0.696 * [taylor]: Taking taylor expansion of (/ y z) in z 0.696 * [taylor]: Taking taylor expansion of y in z 0.696 * [taylor]: Taking taylor expansion of z in z 0.696 * [taylor]: Taking taylor expansion of (* 1.0 y) in z 0.696 * [taylor]: Taking taylor expansion of 1.0 in z 0.696 * [taylor]: Taking taylor expansion of y in z 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 0 in z 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.699 * [taylor]: Taking taylor expansion of 1.0 in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of 0 in z 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.703 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.705 * [taylor]: Taking taylor expansion of 1.0 in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.707 * [approximate]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in (x z y) around 0 0.707 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in y 0.707 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.707 * [taylor]: Taking taylor expansion of z in y 0.707 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in y 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.707 * [taylor]: Taking taylor expansion of 1.0 in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.707 * [taylor]: Taking taylor expansion of z in y 0.707 * [taylor]: Taking taylor expansion of (* x y) in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in z 0.712 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.712 * [taylor]: Taking taylor expansion of z in z 0.712 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in z 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.713 * [taylor]: Taking taylor expansion of 1.0 in z 0.713 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.713 * [taylor]: Taking taylor expansion of z in z 0.713 * [taylor]: Taking taylor expansion of (* x y) in z 0.713 * [taylor]: Taking taylor expansion of x in z 0.713 * [taylor]: Taking taylor expansion of y in z 0.714 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in x 0.714 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.714 * [taylor]: Taking taylor expansion of z in x 0.714 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in x 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.714 * [taylor]: Taking taylor expansion of 1.0 in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.714 * [taylor]: Taking taylor expansion of z in x 0.714 * [taylor]: Taking taylor expansion of (* x y) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.716 * [taylor]: Taking taylor expansion of (/ (pow z 2) (* (- 1.0 (/ 1 z)) (* x y))) in x 0.716 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.716 * [taylor]: Taking taylor expansion of z in x 0.716 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) (* x y)) in x 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in x 0.716 * [taylor]: Taking taylor expansion of 1.0 in x 0.716 * [taylor]: Taking taylor expansion of (/ 1 z) in x 0.716 * [taylor]: Taking taylor expansion of z in x 0.716 * [taylor]: Taking taylor expansion of (* x y) in x 0.716 * [taylor]: Taking taylor expansion of x in x 0.716 * [taylor]: Taking taylor expansion of y in x 0.717 * [taylor]: Taking taylor expansion of (/ (pow z 2) (- (* 1.0 y) (/ y z))) in z 0.717 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.717 * [taylor]: Taking taylor expansion of z in z 0.717 * [taylor]: Taking taylor expansion of (- (* 1.0 y) (/ y z)) in z 0.717 * [taylor]: Taking taylor expansion of (* 1.0 y) in z 0.717 * [taylor]: Taking taylor expansion of 1.0 in z 0.718 * [taylor]: Taking taylor expansion of y in z 0.718 * [taylor]: Taking taylor expansion of (/ y z) in z 0.718 * [taylor]: Taking taylor expansion of y in z 0.718 * [taylor]: Taking taylor expansion of z in z 0.718 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.718 * [taylor]: Taking taylor expansion of -1 in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of 0 in z 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.721 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.722 * [taylor]: Taking taylor expansion of 1.0 in y 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of 0 in z 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.726 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.728 * [taylor]: Taking taylor expansion of 1.0 in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.730 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.730 * [approximate]: Taking taylor expansion of (/ y (+ z 1.0)) in (y z) around 0 0.730 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in z 0.731 * [taylor]: Taking taylor expansion of y in z 0.731 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.731 * [taylor]: Taking taylor expansion of z in z 0.731 * [taylor]: Taking taylor expansion of 1.0 in z 0.731 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (+ z 1.0) in y 0.731 * [taylor]: Taking taylor expansion of z in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of (/ y (+ z 1.0)) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of (+ z 1.0) in y 0.731 * [taylor]: Taking taylor expansion of z in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 (+ z 1.0)) in z 0.731 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.731 * [taylor]: Taking taylor expansion of z in z 0.731 * [taylor]: Taking taylor expansion of 1.0 in z 0.732 * [taylor]: Taking taylor expansion of 0 in z 0.735 * [taylor]: Taking taylor expansion of 0 in z 0.738 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in (y z) around 0 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in z 0.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in z 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.738 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.738 * [taylor]: Taking taylor expansion of z in z 0.739 * [taylor]: Taking taylor expansion of 1.0 in z 0.739 * [taylor]: Taking taylor expansion of y in z 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in y 0.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.739 * [taylor]: Taking taylor expansion of z in y 0.739 * [taylor]: Taking taylor expansion of 1.0 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 z) 1.0) y)) in y 0.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 z) 1.0) y) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.740 * [taylor]: Taking taylor expansion of z in y 0.740 * [taylor]: Taking taylor expansion of 1.0 in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 z) 1.0)) in z 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.741 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.742 * [taylor]: Taking taylor expansion of z in z 0.742 * [taylor]: Taking taylor expansion of 1.0 in z 0.743 * [taylor]: Taking taylor expansion of 0 in z 0.746 * [taylor]: Taking taylor expansion of 0 in z 0.751 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in (y z) around 0 0.751 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in z 0.751 * [taylor]: Taking taylor expansion of -1 in z 0.751 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) y) in z 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.751 * [taylor]: Taking taylor expansion of 1.0 in z 0.751 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.751 * [taylor]: Taking taylor expansion of z in z 0.751 * [taylor]: Taking taylor expansion of y in z 0.752 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in y 0.752 * [taylor]: Taking taylor expansion of -1 in y 0.752 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) y) in y 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.752 * [taylor]: Taking taylor expansion of 1.0 in y 0.752 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.752 * [taylor]: Taking taylor expansion of z in y 0.752 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 z)) y)) in y 0.753 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 z)) y) in y 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in y 0.753 * [taylor]: Taking taylor expansion of 1.0 in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 z) in y 0.753 * [taylor]: Taking taylor expansion of z in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.754 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 z))) in z 0.754 * [taylor]: Taking taylor expansion of -1 in z 0.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.754 * [taylor]: Taking taylor expansion of 1.0 in z 0.754 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.754 * [taylor]: Taking taylor expansion of z in z 0.756 * [taylor]: Taking taylor expansion of 0 in z 0.760 * [taylor]: Taking taylor expansion of 0 in z 0.764 * * * [progress]: simplifying candidates 0.766 * [simplify]: Simplifying using # : (expm1 (/ x (* z z))) (log1p (/ x (* z z))) (- (log x) (+ (log z) (log z))) (- (log x) (log (* z z))) (log (/ x (* z z))) (exp (/ x (* z z))) (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (* (cbrt (/ x (* z z))) (cbrt (/ x (* z z)))) (cbrt (/ x (* z z))) (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (sqrt (/ x (* z z))) (sqrt (/ x (* z z))) (- x) (- (* z z)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) z) (/ (sqrt x) z) (/ (sqrt x) z) (/ 1 z) (/ x z) (/ 1 (* z z)) (/ (* z z) x) (/ x z) (/ (* z z) (cbrt x)) (/ (* z z) (sqrt x)) (/ (* z z) x) (expm1 (* (/ x (* z z)) (/ y (+ z 1.0)))) (log1p (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ y (+ z 1.0))) (+ (- (log x) (+ (log z) (log z))) (- (log y) (log (+ z 1.0)))) (+ (- (log x) (+ (log z) (log z))) (log (/ y (+ z 1.0)))) (+ (- (log x) (log (* z z))) (- (log y) (log (+ z 1.0)))) (+ (- (log x) (log (* z z))) (log (/ y (+ z 1.0)))) (+ (log (/ x (* z z))) (- (log y) (log (+ z 1.0)))) (+ (log (/ x (* z z))) (log (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (exp (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) z) (* (* z z) z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (/ (* (* x x) x) (* (* (* z z) (* z z)) (* z z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ x (* z z))) (/ x (* z z))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0)))) (* (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0))))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (* (* (/ x (* z z)) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* x y) (* (* z z) (+ z 1.0)) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (* (/ x (* z z)) (sqrt (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* z z)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ (sqrt y) 1)) (* (/ x (* z z)) (/ (sqrt y) 1)) (* (/ x (* z z)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ 1 (sqrt (+ z 1.0)))) (* (/ x (* z z)) (/ 1 1)) (* (/ x (* z z)) (/ 1 1)) (* (/ x (* z z)) 1) (* (/ x (* z z)) y) (* (/ x (* z z)) (/ y (+ (pow z 3) (pow 1.0 3)))) (* (/ x (* z z)) (/ y (- (* z z) (* 1.0 1.0)))) (* (cbrt (/ x (* z z))) (/ y (+ z 1.0))) (* (sqrt (/ x (* z z))) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (sqrt x) z) (/ y (+ z 1.0))) (* (/ x z) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0))) (* (/ 1 (* z z)) (/ y (+ z 1.0))) (* (/ x (* z z)) y) (* x (/ y (+ z 1.0))) (expm1 (/ y (+ z 1.0))) (log1p (/ y (+ z 1.0))) (- (log y) (log (+ z 1.0))) (log (/ y (+ z 1.0))) (exp (/ y (+ z 1.0))) (/ (* (* y y) y) (* (* (+ z 1.0) (+ z 1.0)) (+ z 1.0))) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0)))) (cbrt (/ y (+ z 1.0))) (* (* (/ y (+ z 1.0)) (/ y (+ z 1.0))) (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (- y) (- (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (cbrt y) (cbrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0))) (/ (cbrt y) (sqrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ z 1.0)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (sqrt y) (cbrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ z 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ z 1.0)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))) (/ 1 (sqrt (+ z 1.0))) (/ y (sqrt (+ z 1.0))) (/ 1 1) (/ y (+ z 1.0)) (/ 1 1) (/ y (+ z 1.0)) (/ 1 (+ z 1.0)) (/ (+ z 1.0) y) (/ y (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (sqrt (+ z 1.0))) (/ y 1) (/ y 1) (/ (+ z 1.0) (cbrt y)) (/ (+ z 1.0) (sqrt y)) (/ (+ z 1.0) y) (/ y (+ (pow z 3) (pow 1.0 3))) (/ y (- (* z z) (* 1.0 1.0))) (/ x (pow z 2)) (/ x (pow z 2)) (/ x (pow z 2)) (- (+ (* 1.0 (* x y)) (* 1.0 (/ (* x y) (pow z 2)))) (* 1.0 (/ (* x y) z))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (/ (* x y) (pow z 5))) (/ (* x y) (pow z 3))) (* 1.0 (/ (* x y) (pow z 4)))) (- (+ (* 1.0 (* (pow z 2) y)) (* 1.0 y)) (* 1.0 (* z y))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) (- (+ (* 1.0 (/ y (pow z 3))) (/ y z)) (* 1.0 (/ y (pow z 2)))) 0.766 * [simplify]: Sending expressions to egg_math: (expm1 (/ h0 (* h1 h1))) (log1p (/ h0 (* h1 h1))) (- (log h0) (+ (log h1) (log h1))) (- (log h0) (log (* h1 h1))) (log (/ h0 (* h1 h1))) (exp (/ h0 (* h1 h1))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (cbrt (/ h0 (* h1 h1))) (cbrt (/ h0 (* h1 h1)))) (cbrt (/ h0 (* h1 h1))) (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1))) (sqrt (/ h0 (* h1 h1))) (sqrt (/ h0 (* h1 h1))) (- h0) (- (* h1 h1)) (/ (* (cbrt h0) (cbrt h0)) h1) (/ (cbrt h0) h1) (/ (sqrt h0) h1) (/ (sqrt h0) h1) (/ 1 h1) (/ h0 h1) (/ 1 (* h1 h1)) (/ (* h1 h1) h0) (/ h0 h1) (/ (* h1 h1) (cbrt h0)) (/ (* h1 h1) (sqrt h0)) (/ (* h1 h1) h0) (expm1 (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (log1p (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3))) (+ (- (log h0) (+ (log h1) (log h1))) (- (log h2) (log (+ h1 h3)))) (+ (- (log h0) (+ (log h1) (log h1))) (log (/ h2 (+ h1 h3)))) (+ (- (log h0) (log (* h1 h1))) (- (log h2) (log (+ h1 h3)))) (+ (- (log h0) (log (* h1 h1))) (log (/ h2 (+ h1 h3)))) (+ (log (/ h0 (* h1 h1))) (- (log h2) (log (+ h1 h3)))) (+ (log (/ h0 (* h1 h1))) (log (/ h2 (+ h1 h3)))) (log (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (exp (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (* (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (/ (* (* h2 h2) h2) (* (* (+ h1 h3) (+ h1 h3)) (+ h1 h3)))) (* (/ (* (* h0 h0) h0) (* (* (* h1 h1) h1) (* (* h1 h1) h1))) (* (* (/ h2 (+ h1 h3)) (/ h2 (+ h1 h3))) (/ h2 (+ h1 h3)))) (* (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (/ (* (* h2 h2) h2) (* (* (+ h1 h3) (+ h1 h3)) (+ h1 h3)))) (* (/ (* (* h0 h0) h0) (* (* (* h1 h1) (* h1 h1)) (* h1 h1))) (* (* (/ h2 (+ h1 h3)) (/ h2 (+ h1 h3))) (/ h2 (+ h1 h3)))) (* (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1))) (/ (* (* h2 h2) h2) (* (* (+ h1 h3) (+ h1 h3)) (+ h1 h3)))) (* (* (* (/ h0 (* h1 h1)) (/ h0 (* h1 h1))) (/ h0 (* h1 h1))) (* (* (/ h2 (+ h1 h3)) (/ h2 (+ h1 h3))) (/ h2 (+ h1 h3)))) (* (cbrt (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (cbrt (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3))))) (cbrt (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (* (* (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3))) (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (sqrt (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (sqrt (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3)))) (* h0 h2) (* (* h1 h1) (+ h1 h3)) (* (sqrt (/ h0 (* h1 h1))) (sqrt (/ h2 (+ h1 h3)))) (* (sqrt (/ h0 (* h1 h1))) (sqrt (/ h2 (+ h1 h3)))) (* (sqrt (/ h0 (* h1 h1))) (/ (sqrt h2) (sqrt (+ h1 h3)))) (* (sqrt (/ h0 (* h1 h1))) (/ (sqrt h2) (sqrt (+ h1 h3)))) (* (/ (sqrt h0) h1) (sqrt (/ h2 (+ h1 h3)))) (* (/ (sqrt h0) h1) (sqrt (/ h2 (+ h1 h3)))) (* (/ (sqrt h0) h1) (/ (sqrt h2) (sqrt (+ h1 h3)))) (* (/ (sqrt h0) h1) (/ (sqrt h2) (sqrt (+ h1 h3)))) (* (/ h0 (* h1 h1)) (* (cbrt (/ h2 (+ h1 h3))) (cbrt (/ h2 (+ h1 h3))))) (* (/ h0 (* h1 h1)) (sqrt (/ h2 (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3))))) (* (/ h0 (* h1 h1)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ (* (cbrt h2) (cbrt h2)) 1)) (* (/ h0 (* h1 h1)) (/ (* (cbrt h2) (cbrt h2)) 1)) (* (/ h0 (* h1 h1)) (/ (sqrt h2) (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3))))) (* (/ h0 (* h1 h1)) (/ (sqrt h2) (sqrt (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ (sqrt h2) 1)) (* (/ h0 (* h1 h1)) (/ (sqrt h2) 1)) (* (/ h0 (* h1 h1)) (/ 1 (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3))))) (* (/ h0 (* h1 h1)) (/ 1 (sqrt (+ h1 h3)))) (* (/ h0 (* h1 h1)) (/ 1 1)) (* (/ h0 (* h1 h1)) (/ 1 1)) (* (/ h0 (* h1 h1)) 1) (* (/ h0 (* h1 h1)) h2) (* (/ h0 (* h1 h1)) (/ h2 (+ (pow h1 3) (pow h3 3)))) (* (/ h0 (* h1 h1)) (/ h2 (- (* h1 h1) (* h3 h3)))) (* (cbrt (/ h0 (* h1 h1))) (/ h2 (+ h1 h3))) (* (sqrt (/ h0 (* h1 h1))) (/ h2 (+ h1 h3))) (* (/ (cbrt h0) h1) (/ h2 (+ h1 h3))) (* (/ (sqrt h0) h1) (/ h2 (+ h1 h3))) (* (/ h0 h1) (/ h2 (+ h1 h3))) (* (/ h0 (* h1 h1)) (/ h2 (+ h1 h3))) (* (/ 1 (* h1 h1)) (/ h2 (+ h1 h3))) (* (/ h0 (* h1 h1)) h2) (* h0 (/ h2 (+ h1 h3))) (expm1 (/ h2 (+ h1 h3))) (log1p (/ h2 (+ h1 h3))) (- (log h2) (log (+ h1 h3))) (log (/ h2 (+ h1 h3))) (exp (/ h2 (+ h1 h3))) (/ (* (* h2 h2) h2) (* (* (+ h1 h3) (+ h1 h3)) (+ h1 h3))) (* (cbrt (/ h2 (+ h1 h3))) (cbrt (/ h2 (+ h1 h3)))) (cbrt (/ h2 (+ h1 h3))) (* (* (/ h2 (+ h1 h3)) (/ h2 (+ h1 h3))) (/ h2 (+ h1 h3))) (sqrt (/ h2 (+ h1 h3))) (sqrt (/ h2 (+ h1 h3))) (- h2) (- (+ h1 h3)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3)))) (/ (cbrt h2) (cbrt (+ h1 h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (+ h1 h3))) (/ (cbrt h2) (sqrt (+ h1 h3))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (+ h1 h3)) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (+ h1 h3)) (/ (sqrt h2) (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3)))) (/ (sqrt h2) (cbrt (+ h1 h3))) (/ (sqrt h2) (sqrt (+ h1 h3))) (/ (sqrt h2) (sqrt (+ h1 h3))) (/ (sqrt h2) 1) (/ (sqrt h2) (+ h1 h3)) (/ (sqrt h2) 1) (/ (sqrt h2) (+ h1 h3)) (/ 1 (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3)))) (/ h2 (cbrt (+ h1 h3))) (/ 1 (sqrt (+ h1 h3))) (/ h2 (sqrt (+ h1 h3))) (/ 1 1) (/ h2 (+ h1 h3)) (/ 1 1) (/ h2 (+ h1 h3)) (/ 1 (+ h1 h3)) (/ (+ h1 h3) h2) (/ h2 (* (cbrt (+ h1 h3)) (cbrt (+ h1 h3)))) (/ h2 (sqrt (+ h1 h3))) (/ h2 1) (/ h2 1) (/ (+ h1 h3) (cbrt h2)) (/ (+ h1 h3) (sqrt h2)) (/ (+ h1 h3) h2) (/ h2 (+ (pow h1 3) (pow h3 3))) (/ h2 (- (* h1 h1) (* h3 h3))) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (/ h0 (pow h1 2)) (- (+ (* h3 (* h0 h2)) (* h3 (/ (* h0 h2) (pow h1 2)))) (* h3 (/ (* h0 h2) h1))) (- (+ (* h3 (/ (* h0 h2) (pow h1 5))) (/ (* h0 h2) (pow h1 3))) (* h3 (/ (* h0 h2) (pow h1 4)))) (- (+ (* h3 (/ (* h0 h2) (pow h1 5))) (/ (* h0 h2) (pow h1 3))) (* h3 (/ (* h0 h2) (pow h1 4)))) (- (+ (* h3 (* (pow h1 2) h2)) (* h3 h2)) (* h3 (* h1 h2))) (- (+ (* h3 (/ h2 (pow h1 3))) (/ h2 h1)) (* h3 (/ h2 (pow h1 2)))) (- (+ (* h3 (/ h2 (pow h1 3))) (/ h2 h1)) (* h3 (/ h2 (pow h1 2)))) 0.774 * * [simplify]: iteration 0 : 534 enodes (cost 730 ) 0.788 * * [simplify]: iteration 1 : 2689 enodes (cost 629 ) 0.833 * * [simplify]: iteration 2 : 5003 enodes (cost 629 ) 0.837 * [simplify]: Simplified to: (expm1 (/ x (* z z))) (log1p (/ x (* z z))) (log (/ x (* z z))) (log (/ x (* z z))) (log (/ x (* z z))) (exp (/ x (* z z))) (pow (/ x (* z z)) 3) (pow (/ x (* z z)) 3) (* (cbrt (/ x (* z z))) (cbrt (/ x (* z z)))) (cbrt (/ x (* z z))) (pow (/ x (* z z)) 3) (sqrt (/ x (* z z))) (sqrt (/ x (* z z))) (- x) (- (* z z)) (/ (* (cbrt x) (cbrt x)) z) (/ (cbrt x) z) (/ (sqrt x) z) (/ (sqrt x) z) (/ 1 z) (/ x z) (/ 1 (* z z)) (/ (* z z) x) (/ x z) (/ (* z z) (cbrt x)) (/ (* z z) (sqrt x)) (/ (* z z) x) (expm1 (* (/ x (* z z)) (/ y (+ z 1.0)))) (log1p (* (/ x (* z z)) (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ y (+ z 1.0))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (log (* (/ x (* z z)) (/ y (+ z 1.0)))) (exp (* (/ x (* z z)) (/ y (+ z 1.0)))) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (* (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0))))) (cbrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (pow (* (/ x (* z z)) (/ y (+ z 1.0))) 3) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (sqrt (* (/ x (* z z)) (/ y (+ z 1.0)))) (* x y) (* (* z z) (+ z 1.0)) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (sqrt (/ y (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (sqrt (/ x (* z z))) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (sqrt (/ y (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ (sqrt x) z) (/ (sqrt y) (sqrt (+ z 1.0)))) (* (/ x (* z z)) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0))))) (* (/ x (* z z)) (sqrt (/ y (+ z 1.0)))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0)))) (/ (* x (* (cbrt y) (cbrt y))) (pow z 2)) (/ (* x (* (cbrt y) (cbrt y))) (pow z 2)) (* (/ x (* z z)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0))))) (* (/ x (* z z)) (/ (sqrt y) (sqrt (+ z 1.0)))) (/ (* x (sqrt y)) (pow z 2)) (/ (* x (sqrt y)) (pow z 2)) (/ (/ x (* z z)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (/ x (* z z)) (sqrt (+ z 1.0))) (/ x (* z z)) (/ x (* z z)) (/ x (* z z)) (* (/ x (* z z)) y) (* (/ x (* z z)) (/ y (+ (pow z 3) (pow 1.0 3)))) (* (/ x (* z z)) (/ y (- (* z z) (* 1.0 1.0)))) (* (cbrt (/ x (* z z))) (/ y (+ z 1.0))) (* (sqrt (/ x (* z z))) (/ y (+ z 1.0))) (* (/ (cbrt x) z) (/ y (+ z 1.0))) (* (/ (sqrt x) z) (/ y (+ z 1.0))) (* (/ x z) (/ y (+ z 1.0))) (* (/ x (* z z)) (/ y (+ z 1.0))) (/ (/ y (+ z 1.0)) (pow z 2)) (* (/ x (* z z)) y) (* x (/ y (+ z 1.0))) (expm1 (/ y (+ z 1.0))) (log1p (/ y (+ z 1.0))) (log (/ y (+ z 1.0))) (log (/ y (+ z 1.0))) (exp (/ y (+ z 1.0))) (pow (/ y (+ z 1.0)) 3) (* (cbrt (/ y (+ z 1.0))) (cbrt (/ y (+ z 1.0)))) (cbrt (/ y (+ z 1.0))) (pow (/ y (+ z 1.0)) 3) (sqrt (/ y (+ z 1.0))) (sqrt (/ y (+ z 1.0))) (- y) (- (+ z 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (cbrt y) (cbrt (+ z 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ z 1.0))) (/ (cbrt y) (sqrt (+ z 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z 1.0)) (/ (sqrt y) (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ (sqrt y) (cbrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (/ (sqrt y) (sqrt (+ z 1.0))) (sqrt y) (/ (sqrt y) (+ z 1.0)) (sqrt y) (/ (sqrt y) (+ z 1.0)) (/ 1 (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (cbrt (+ z 1.0))) (/ 1 (sqrt (+ z 1.0))) (/ y (sqrt (+ z 1.0))) 1 (/ y (+ z 1.0)) 1 (/ y (+ z 1.0)) (/ 1 (+ z 1.0)) (/ (+ z 1.0) y) (/ y (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (/ y (sqrt (+ z 1.0))) y y (/ (+ z 1.0) (cbrt y)) (/ (+ z 1.0) (sqrt y)) (/ (+ z 1.0) y) (/ y (+ (pow z 3) (pow 1.0 3))) (/ y (- (* z z) (* 1.0 1.0))) (/ x (* z z)) (/ x (* z z)) (/ x (* z z)) (* 1.0 (- (fma y x (* (/ x (* z z)) y)) (/ (* x y) z))) (fma 1.0 (/ (* x y) (pow z 5)) (- (/ (* x y) (pow z 3)) (* 1.0 (/ (* x y) (pow z 4))))) (fma 1.0 (/ (* x y) (pow z 5)) (- (/ (* x y) (pow z 3)) (* 1.0 (/ (* x y) (pow z 4))))) (* 1.0 (- (fma y (pow z 2) y) (* z y))) (fma 1.0 (/ y (pow z 3)) (- (/ y z) (* 1.0 (/ y (pow z 2))))) (fma 1.0 (/ y (pow z 3)) (- (/ y z) (* 1.0 (/ y (pow z 2))))) 0.838 * * * [progress]: adding candidates to table 1.104 * * [progress]: iteration 3 / 4 1.104 * * * [progress]: picking best candidate 1.122 * * * * [pick]: Picked # 1.122 * * * [progress]: localizing error 1.134 * * * [progress]: generating rewritten candidates 1.134 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.138 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.151 * * * [progress]: generating series expansions 1.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.152 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.152 * [taylor]: Taking taylor expansion of 1/3 in x 1.152 * [taylor]: Taking taylor expansion of (log x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.153 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.153 * [taylor]: Taking taylor expansion of 1/3 in x 1.153 * [taylor]: Taking taylor expansion of (log x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.211 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.211 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.211 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.211 * [taylor]: Taking taylor expansion of 1/3 in x 1.211 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.212 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.212 * [taylor]: Taking taylor expansion of 1/3 in x 1.212 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.273 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.274 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.274 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.274 * [taylor]: Taking taylor expansion of -1 in x 1.275 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.275 * [taylor]: Taking taylor expansion of 1/3 in x 1.275 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.275 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.276 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.276 * [taylor]: Taking taylor expansion of -1 in x 1.276 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.276 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of 1/3 in x 1.277 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.345 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.346 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.346 * [taylor]: Taking taylor expansion of 1/3 in x 1.346 * [taylor]: Taking taylor expansion of (log x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.346 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.346 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.346 * [taylor]: Taking taylor expansion of 1/3 in x 1.346 * [taylor]: Taking taylor expansion of (log x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.408 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.408 * [taylor]: Taking taylor expansion of 1/3 in x 1.408 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.408 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.410 * [taylor]: Taking taylor expansion of 1/3 in x 1.410 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.410 * [taylor]: Taking taylor expansion of x in x 1.475 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.475 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.475 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.475 * [taylor]: Taking taylor expansion of -1 in x 1.476 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.476 * [taylor]: Taking taylor expansion of 1/3 in x 1.476 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.477 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.477 * [taylor]: Taking taylor expansion of -1 in x 1.477 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.478 * [taylor]: Taking taylor expansion of 1/3 in x 1.478 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.478 * [taylor]: Taking taylor expansion of x in x 1.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.554 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.554 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.554 * [taylor]: Taking taylor expansion of 1/3 in x 1.554 * [taylor]: Taking taylor expansion of (log x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.555 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 1.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 1.555 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 1.555 * [taylor]: Taking taylor expansion of 1/3 in x 1.555 * [taylor]: Taking taylor expansion of (log x) in x 1.555 * [taylor]: Taking taylor expansion of x in x 1.607 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 1.607 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.608 * [taylor]: Taking taylor expansion of 1/3 in x 1.608 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.609 * [taylor]: Taking taylor expansion of 1/3 in x 1.609 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.674 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.674 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.675 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.675 * [taylor]: Taking taylor expansion of -1 in x 1.675 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.676 * [taylor]: Taking taylor expansion of 1/3 in x 1.676 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.677 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 1.677 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.677 * [taylor]: Taking taylor expansion of -1 in x 1.677 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 1.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 1.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 1.677 * [taylor]: Taking taylor expansion of 1/3 in x 1.677 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.677 * [taylor]: Taking taylor expansion of x in x 1.756 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.756 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.756 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.756 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.756 * [taylor]: Taking taylor expansion of 1/3 in x 1.756 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.756 * [taylor]: Taking taylor expansion of x in x 1.757 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 1.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 1.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 1.757 * [taylor]: Taking taylor expansion of 1/3 in x 1.757 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 1.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.822 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.822 * [taylor]: Taking taylor expansion of 1/3 in x 1.822 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.823 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.823 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.823 * [taylor]: Taking taylor expansion of 1/3 in x 1.823 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.885 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.885 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.885 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.885 * [taylor]: Taking taylor expansion of -1 in x 1.886 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.886 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.886 * [taylor]: Taking taylor expansion of 1/3 in x 1.886 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.886 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 1.887 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 1.887 * [taylor]: Taking taylor expansion of (cbrt -1) in x 1.887 * [taylor]: Taking taylor expansion of -1 in x 1.888 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 1.888 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 1.888 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 1.888 * [taylor]: Taking taylor expansion of 1/3 in x 1.888 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.977 * * * [progress]: simplifying candidates 1.978 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.978 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (* (cbrt h0) (cbrt h0))) (log1p (* (cbrt h0) (cbrt h0))) (+ 1/3 1/3) (+ 1 1) (* h0 h0) (* (cbrt h0) (cbrt h0)) (+ 1 1) (+ (log (cbrt h0)) (log (cbrt h0))) (log (* (cbrt h0) (cbrt h0))) (exp (* (cbrt h0) (cbrt h0))) (* h0 h0) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (cbrt (* (cbrt h0) (cbrt h0))) (* (* (* (cbrt h0) (cbrt h0)) (* (cbrt h0) (cbrt h0))) (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt 1) (cbrt 1)) (* (cbrt h0) (cbrt h0)) (* (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 1 1) (* (cbrt h0) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (cbrt (sqrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (cbrt (sqrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (cbrt h0))) (* 2 1/3) (* 2 1) (* (cbrt h0) (cbrt (* (cbrt h0) (cbrt h0)))) (* (cbrt h0) (cbrt (sqrt h0))) (* (cbrt h0) (cbrt 1)) (* (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0)))) (* (cbrt h0) (sqrt (cbrt h0))) (* (cbrt h0) 1) (* (cbrt (cbrt h0)) (cbrt h0)) (* (cbrt (sqrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (* (cbrt (cbrt h0)) (cbrt h0)) (* (sqrt (cbrt h0)) (cbrt h0)) (* (cbrt h0) (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 2/3) (pow (/ 1 h0) -2/3) (* (pow (cbrt -1) 2) (pow (pow h0 2) 1/3)) 1.983 * * [simplify]: iteration 0 : 119 enodes (cost 308 ) 1.988 * * [simplify]: iteration 1 : 477 enodes (cost 281 ) 2.005 * * [simplify]: iteration 2 : 2972 enodes (cost 258 ) 2.077 * * [simplify]: iteration 3 : 5001 enodes (cost 255 ) 2.079 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 2.079 * * * [progress]: adding candidates to table 2.361 * * [progress]: iteration 4 / 4 2.361 * * * [progress]: picking best candidate 2.386 * * * * [pick]: Picked # 2.386 * * * [progress]: localizing error 2.403 * * * [progress]: generating rewritten candidates 2.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 2.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 2.405 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) 2.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 2.408 * * * [progress]: generating series expansions 2.408 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 2.408 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.408 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.408 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.408 * [taylor]: Taking taylor expansion of 1/3 in x 2.408 * [taylor]: Taking taylor expansion of (log x) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.409 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.409 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.409 * [taylor]: Taking taylor expansion of 1/3 in x 2.409 * [taylor]: Taking taylor expansion of (log x) in x 2.409 * [taylor]: Taking taylor expansion of x in x 2.468 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.468 * [taylor]: Taking taylor expansion of 1/3 in x 2.468 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.469 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.469 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.469 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.469 * [taylor]: Taking taylor expansion of 1/3 in x 2.469 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.526 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.526 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.526 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.526 * [taylor]: Taking taylor expansion of -1 in x 2.527 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.527 * [taylor]: Taking taylor expansion of 1/3 in x 2.527 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.527 * [taylor]: Taking taylor expansion of x in x 2.528 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.528 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.528 * [taylor]: Taking taylor expansion of -1 in x 2.528 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.528 * [taylor]: Taking taylor expansion of 1/3 in x 2.528 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.605 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 2.605 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.606 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.606 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.606 * [taylor]: Taking taylor expansion of 1/3 in x 2.606 * [taylor]: Taking taylor expansion of (log x) in x 2.606 * [taylor]: Taking taylor expansion of x in x 2.607 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.607 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.607 * [taylor]: Taking taylor expansion of 1/3 in x 2.607 * [taylor]: Taking taylor expansion of (log x) in x 2.607 * [taylor]: Taking taylor expansion of x in x 2.667 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.667 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.667 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.667 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.667 * [taylor]: Taking taylor expansion of 1/3 in x 2.667 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.667 * [taylor]: Taking taylor expansion of x in x 2.668 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.668 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.668 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.668 * [taylor]: Taking taylor expansion of 1/3 in x 2.668 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.668 * [taylor]: Taking taylor expansion of x in x 2.732 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.732 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.732 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.732 * [taylor]: Taking taylor expansion of -1 in x 2.733 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.733 * [taylor]: Taking taylor expansion of 1/3 in x 2.733 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.733 * [taylor]: Taking taylor expansion of x in x 2.734 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.734 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.734 * [taylor]: Taking taylor expansion of -1 in x 2.735 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.735 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.735 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.735 * [taylor]: Taking taylor expansion of 1/3 in x 2.735 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.735 * [taylor]: Taking taylor expansion of x in x 2.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) 2.803 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.803 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.803 * [taylor]: Taking taylor expansion of 1/3 in x 2.803 * [taylor]: Taking taylor expansion of (log x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.804 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.804 * [taylor]: Taking taylor expansion of 1/3 in x 2.804 * [taylor]: Taking taylor expansion of (log x) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.864 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.864 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.864 * [taylor]: Taking taylor expansion of 1/3 in x 2.864 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.865 * [taylor]: Taking taylor expansion of 1/3 in x 2.865 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.929 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.929 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.929 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.929 * [taylor]: Taking taylor expansion of -1 in x 2.930 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.930 * [taylor]: Taking taylor expansion of 1/3 in x 2.930 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.931 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.931 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.931 * [taylor]: Taking taylor expansion of -1 in x 2.932 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.932 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.932 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.932 * [taylor]: Taking taylor expansion of 1/3 in x 2.932 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.932 * [taylor]: Taking taylor expansion of x in x 3.008 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.008 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.008 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.008 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.008 * [taylor]: Taking taylor expansion of 1/3 in x 3.008 * [taylor]: Taking taylor expansion of (log x) in x 3.008 * [taylor]: Taking taylor expansion of x in x 3.009 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.009 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.009 * [taylor]: Taking taylor expansion of 1/3 in x 3.009 * [taylor]: Taking taylor expansion of (log x) in x 3.009 * [taylor]: Taking taylor expansion of x in x 3.062 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.062 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.062 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.062 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.062 * [taylor]: Taking taylor expansion of 1/3 in x 3.062 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.062 * [taylor]: Taking taylor expansion of x in x 3.063 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.063 * [taylor]: Taking taylor expansion of 1/3 in x 3.063 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.063 * [taylor]: Taking taylor expansion of x in x 3.128 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.128 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.128 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.128 * [taylor]: Taking taylor expansion of -1 in x 3.129 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.129 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.129 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.129 * [taylor]: Taking taylor expansion of 1/3 in x 3.129 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.129 * [taylor]: Taking taylor expansion of x in x 3.130 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.130 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.130 * [taylor]: Taking taylor expansion of -1 in x 3.131 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.131 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.131 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.131 * [taylor]: Taking taylor expansion of 1/3 in x 3.131 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.131 * [taylor]: Taking taylor expansion of x in x 3.208 * * * [progress]: simplifying candidates 3.209 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.209 * [simplify]: Sending expressions to egg_math: (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (expm1 (cbrt h0)) (log1p (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) (pow h0 1/3) (pow (/ 1 h0) -1/3) (* (pow (* -1 h0) 1/3) (cbrt -1)) 3.212 * * [simplify]: iteration 0 : 42 enodes (cost 172 ) 3.215 * * [simplify]: iteration 1 : 83 enodes (cost 160 ) 3.218 * * [simplify]: iteration 2 : 195 enodes (cost 152 ) 3.224 * * [simplify]: iteration 3 : 699 enodes (cost 152 ) 3.249 * * [simplify]: iteration 4 : 4132 enodes (cost 152 ) 3.347 * * [simplify]: iteration 5 : 5001 enodes (cost 152 ) 3.349 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.349 * * * [progress]: adding candidates to table 3.610 * [progress]: [Phase 3 of 3] Extracting. 3.610 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.613 * * * [regime-changes]: Trying 5 branch expressions: ((* (* z z) (+ z 1.0)) (* x y) z y x) 3.613 * * * * [regimes]: Trying to branch on (* (* z z) (+ z 1.0)) from (# # # # # # # # # # # #) 3.655 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # # # # # # # #) 3.695 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # #) 3.739 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 3.783 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 3.828 * * * [regime]: Found split indices: #