22.425 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ (* x y) z) 0.016 * [simplify]: Sending expressions to egg_math: (/ (* h0 h1) h2) 0.018 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 2 ) 0.021 * * [simplify]: iteration 2 : 15 enodes (cost 2 ) 0.022 * * [simplify]: iteration 3 : 16 enodes (cost 2 ) 0.023 * * [simplify]: iteration 4 : 16 enodes (cost 2 ) 0.023 * [simplify]: Simplified to: (/ (* x y) z) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.039 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 0.039 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.039 * [taylor]: Taking taylor expansion of (* x y) in z 0.040 * [taylor]: Taking taylor expansion of x in z 0.040 * [taylor]: Taking taylor expansion of y in z 0.040 * [taylor]: Taking taylor expansion of z in z 0.040 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.040 * [taylor]: Taking taylor expansion of (* x y) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of z in y 0.040 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.040 * [taylor]: Taking taylor expansion of (* x y) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of z in x 0.041 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.041 * [taylor]: Taking taylor expansion of (* x y) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of z in x 0.041 * [taylor]: Taking taylor expansion of (/ y z) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of z in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.041 * [taylor]: Taking taylor expansion of z in z 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in z 0.042 * [taylor]: Taking taylor expansion of 0 in z 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in z 0.043 * [taylor]: Taking taylor expansion of 0 in z 0.043 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [taylor]: Taking taylor expansion of 0 in z 0.045 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 0.045 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.045 * [taylor]: Taking taylor expansion of z in z 0.045 * [taylor]: Taking taylor expansion of (* x y) in z 0.045 * [taylor]: Taking taylor expansion of x in z 0.045 * [taylor]: Taking taylor expansion of y in z 0.045 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.045 * [taylor]: Taking taylor expansion of z in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of z in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ z y) in y 0.046 * [taylor]: Taking taylor expansion of z in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of z in z 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in z 0.049 * [taylor]: Taking taylor expansion of 0 in z 0.049 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 0.049 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 0.049 * [taylor]: Taking taylor expansion of -1 in z 0.049 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.049 * [taylor]: Taking taylor expansion of z in z 0.049 * [taylor]: Taking taylor expansion of (* x y) in z 0.049 * [taylor]: Taking taylor expansion of x in z 0.049 * [taylor]: Taking taylor expansion of y in z 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.050 * [taylor]: Taking taylor expansion of z in y 0.050 * [taylor]: Taking taylor expansion of (* x y) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of z in x 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 0.050 * [taylor]: Taking taylor expansion of -1 in x 0.050 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.050 * [taylor]: Taking taylor expansion of z in x 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 0.051 * [taylor]: Taking taylor expansion of -1 in y 0.051 * [taylor]: Taking taylor expansion of (/ z y) in y 0.051 * [taylor]: Taking taylor expansion of z in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (* -1 z) in z 0.051 * [taylor]: Taking taylor expansion of -1 in z 0.051 * [taylor]: Taking taylor expansion of z in z 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in z 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in z 0.056 * [taylor]: Taking taylor expansion of 0 in z 0.057 * * * [progress]: simplifying candidates 0.057 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.057 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h1)) (log h2)) (- (log (* h0 h1)) (log h2)) (log (/ (* h0 h1) h2)) (exp (/ (* h0 h1) h2)) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 h1) h2)) (cbrt (/ (* h0 h1) h2))) (cbrt (/ (* h0 h1) h2)) (* (* (/ (* h0 h1) h2) (/ (* h0 h1) h2)) (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (- (* h0 h1)) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ h1 (cbrt h2)) (/ h0 (sqrt h2)) (/ h1 (sqrt h2)) (/ h0 1) (/ h1 h2) (/ 1 h2) (/ h2 (* h0 h1)) (/ (* h0 h1) (* (cbrt h2) (cbrt h2))) (/ (* h0 h1) (sqrt h2)) (/ (* h0 h1) 1) (/ h2 h1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 0.060 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 0.063 * * [simplify]: iteration 1 : 514 enodes (cost 70 ) 0.073 * * [simplify]: iteration 2 : 2471 enodes (cost 70 ) 0.114 * * [simplify]: iteration 3 : 5001 enodes (cost 70 ) 0.114 * [simplify]: Simplified to: (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (pow (/ (* x y) z) 3) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 0.115 * * * [progress]: adding candidates to table 0.151 * * [progress]: iteration 2 / 4 0.151 * * * [progress]: picking best candidate 0.162 * * * * [pick]: Picked # 0.162 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.218 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x z y) around 0 0.223 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 0.223 * [taylor]: Taking taylor expansion of (* x y) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of z in y 0.224 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 0.224 * [taylor]: Taking taylor expansion of (* x y) in z 0.224 * [taylor]: Taking taylor expansion of x in z 0.224 * [taylor]: Taking taylor expansion of y in z 0.224 * [taylor]: Taking taylor expansion of z in z 0.224 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.224 * [taylor]: Taking taylor expansion of (* x y) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of z in x 0.224 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 0.224 * [taylor]: Taking taylor expansion of (* x y) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of z in x 0.225 * [taylor]: Taking taylor expansion of (/ y z) in z 0.225 * [taylor]: Taking taylor expansion of y in z 0.225 * [taylor]: Taking taylor expansion of z in z 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of 0 in z 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in z 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x z y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 0.228 * [taylor]: Taking taylor expansion of z in y 0.228 * [taylor]: Taking taylor expansion of (* x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 0.228 * [taylor]: Taking taylor expansion of z in z 0.228 * [taylor]: Taking taylor expansion of (* x y) in z 0.228 * [taylor]: Taking taylor expansion of x in z 0.228 * [taylor]: Taking taylor expansion of y in z 0.228 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of z in x 0.228 * [taylor]: Taking taylor expansion of (* x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 0.229 * [taylor]: Taking taylor expansion of z in x 0.229 * [taylor]: Taking taylor expansion of (* x y) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ z y) in z 0.229 * [taylor]: Taking taylor expansion of z in z 0.229 * [taylor]: Taking taylor expansion of y in z 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 0 in z 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in z 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in z 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (/ z (* (pow (cbrt -1) 3) (* x y))) in (x z y) around 0 0.233 * [taylor]: Taking taylor expansion of (/ z (* (pow (cbrt -1) 3) (* x y))) in y 0.234 * [taylor]: Taking taylor expansion of z in y 0.234 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* x y)) in y 0.234 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in y 0.234 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (* x y) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ z (* (pow (cbrt -1) 3) (* x y))) in z 0.239 * [taylor]: Taking taylor expansion of z in z 0.239 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* x y)) in z 0.239 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in z 0.239 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.239 * [taylor]: Taking taylor expansion of -1 in z 0.239 * [taylor]: Taking taylor expansion of (* x y) in z 0.239 * [taylor]: Taking taylor expansion of x in z 0.239 * [taylor]: Taking taylor expansion of y in z 0.242 * [taylor]: Taking taylor expansion of (/ z (* (pow (cbrt -1) 3) (* x y))) in x 0.242 * [taylor]: Taking taylor expansion of z in x 0.242 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* x y)) in x 0.242 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 0.242 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.242 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (/ z (* (pow (cbrt -1) 3) (* x y))) in x 0.247 * [taylor]: Taking taylor expansion of z in x 0.247 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* x y)) in x 0.247 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in x 0.247 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.247 * [taylor]: Taking taylor expansion of -1 in x 0.248 * [taylor]: Taking taylor expansion of (* x y) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in z 0.255 * [taylor]: Taking taylor expansion of -1 in z 0.255 * [taylor]: Taking taylor expansion of (/ z y) in z 0.255 * [taylor]: Taking taylor expansion of z in z 0.255 * [taylor]: Taking taylor expansion of y in z 0.255 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.255 * [taylor]: Taking taylor expansion of -1 in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 0 in z 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in z 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in z 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.269 * [approximate]: Taking taylor expansion of (pow z 1/3) in (z) around 0 0.269 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.269 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.269 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.269 * [taylor]: Taking taylor expansion of 1/3 in z 0.269 * [taylor]: Taking taylor expansion of (log z) in z 0.270 * [taylor]: Taking taylor expansion of z in z 0.270 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.270 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.270 * [taylor]: Taking taylor expansion of 1/3 in z 0.270 * [taylor]: Taking taylor expansion of (log z) in z 0.270 * [taylor]: Taking taylor expansion of z in z 0.316 * [approximate]: Taking taylor expansion of (pow (/ 1 z) 1/3) in (z) around 0 0.316 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.317 * [taylor]: Taking taylor expansion of 1/3 in z 0.317 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.317 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.317 * [taylor]: Taking taylor expansion of z in z 0.317 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.317 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.317 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.317 * [taylor]: Taking taylor expansion of 1/3 in z 0.317 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.317 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.317 * [taylor]: Taking taylor expansion of z in z 0.370 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in (z) around 0 0.370 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.370 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.370 * [taylor]: Taking taylor expansion of -1 in z 0.371 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.371 * [taylor]: Taking taylor expansion of 1/3 in z 0.371 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.371 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.371 * [taylor]: Taking taylor expansion of z in z 0.372 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.372 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.372 * [taylor]: Taking taylor expansion of -1 in z 0.372 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.372 * [taylor]: Taking taylor expansion of 1/3 in z 0.372 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.372 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.372 * [taylor]: Taking taylor expansion of z in z 0.437 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.437 * [approximate]: Taking taylor expansion of (pow z 1/3) in (z) around 0 0.437 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.437 * [taylor]: Taking taylor expansion of 1/3 in z 0.437 * [taylor]: Taking taylor expansion of (log z) in z 0.437 * [taylor]: Taking taylor expansion of z in z 0.437 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.437 * [taylor]: Taking taylor expansion of 1/3 in z 0.437 * [taylor]: Taking taylor expansion of (log z) in z 0.437 * [taylor]: Taking taylor expansion of z in z 0.488 * [approximate]: Taking taylor expansion of (pow (/ 1 z) 1/3) in (z) around 0 0.488 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.488 * [taylor]: Taking taylor expansion of 1/3 in z 0.488 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.488 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.488 * [taylor]: Taking taylor expansion of z in z 0.489 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.489 * [taylor]: Taking taylor expansion of 1/3 in z 0.489 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.489 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.489 * [taylor]: Taking taylor expansion of z in z 0.539 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in (z) around 0 0.539 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.539 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.539 * [taylor]: Taking taylor expansion of -1 in z 0.540 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.540 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.540 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.540 * [taylor]: Taking taylor expansion of 1/3 in z 0.540 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.540 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.540 * [taylor]: Taking taylor expansion of z in z 0.541 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.541 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.541 * [taylor]: Taking taylor expansion of -1 in z 0.542 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.542 * [taylor]: Taking taylor expansion of 1/3 in z 0.542 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.542 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.542 * [taylor]: Taking taylor expansion of z in z 0.608 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.608 * [approximate]: Taking taylor expansion of (pow z 1/3) in (z) around 0 0.609 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.609 * [taylor]: Taking taylor expansion of 1/3 in z 0.609 * [taylor]: Taking taylor expansion of (log z) in z 0.609 * [taylor]: Taking taylor expansion of z in z 0.609 * [taylor]: Taking taylor expansion of (pow z 1/3) in z 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log z))) in z 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log z)) in z 0.609 * [taylor]: Taking taylor expansion of 1/3 in z 0.609 * [taylor]: Taking taylor expansion of (log z) in z 0.609 * [taylor]: Taking taylor expansion of z in z 0.661 * [approximate]: Taking taylor expansion of (pow (/ 1 z) 1/3) in (z) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.661 * [taylor]: Taking taylor expansion of 1/3 in z 0.661 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.661 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.661 * [taylor]: Taking taylor expansion of z in z 0.662 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.662 * [taylor]: Taking taylor expansion of 1/3 in z 0.662 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.662 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.662 * [taylor]: Taking taylor expansion of z in z 0.718 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in (z) around 0 0.718 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.718 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.718 * [taylor]: Taking taylor expansion of -1 in z 0.719 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.719 * [taylor]: Taking taylor expansion of 1/3 in z 0.719 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.719 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.719 * [taylor]: Taking taylor expansion of z in z 0.720 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 z) 1/3)) in z 0.720 * [taylor]: Taking taylor expansion of (cbrt -1) in z 0.720 * [taylor]: Taking taylor expansion of -1 in z 0.720 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in z 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in z 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in z 0.720 * [taylor]: Taking taylor expansion of 1/3 in z 0.720 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in z 0.720 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.720 * [taylor]: Taking taylor expansion of z in z 0.780 * * * [progress]: simplifying candidates 0.781 * [simplify]: Simplifying using # : (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))) (+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (- (log y) (log (cbrt z)))) (+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (log (/ y (cbrt z)))) (+ (- (log x) (log (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z)))) (+ (- (log x) (log (* (cbrt z) (cbrt z)))) (log (/ y (cbrt z)))) (+ (log (/ x (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z)))) (+ (log (/ x (* (cbrt z) (cbrt z)))) (log (/ y (cbrt z)))) (log (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (exp (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (* (/ (* (* x x) x) (* z z)) (/ (* (* y y) y) z)) (* (/ (* (* x x) x) (* z z)) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z)))) (* (/ (* (* x x) x) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))) (/ (* (* y y) y) z)) (* (/ (* (* x x) x) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z)))) (* (* (* (/ x (* (cbrt z) (cbrt z))) (/ x (* (cbrt z) (cbrt z)))) (/ x (* (cbrt z) (cbrt z)))) (/ (* (* y y) y) z)) (* (* (* (/ x (* (cbrt z) (cbrt z))) (/ x (* (cbrt z) (cbrt z)))) (/ x (* (cbrt z) (cbrt z)))) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z)))) (* (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))) (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (* (* (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))) (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (sqrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (sqrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (* x y) (* (* (cbrt z) (cbrt z)) (cbrt z)) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (sqrt (/ y (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (sqrt (/ y (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (cbrt (sqrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (cbrt (sqrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (sqrt (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (sqrt (/ y (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (sqrt (/ y (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (cbrt (sqrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (cbrt (sqrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (sqrt (/ y (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt (sqrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt 1))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (sqrt (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) 1)) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) (cbrt (* (cbrt z) (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) (cbrt (sqrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) (cbrt 1))) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ (sqrt y) 1)) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 (cbrt (* (cbrt z) (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 (cbrt (sqrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 (cbrt 1))) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 (sqrt (cbrt z)))) (* (/ x (* (cbrt z) (cbrt z))) (/ 1 1)) (* (/ x (* (cbrt z) (cbrt z))) 1) (* (/ x (* (cbrt z) (cbrt z))) y) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))) (* (/ (sqrt x) (cbrt z)) (/ y (cbrt z))) (* (/ x (cbrt z)) (/ y (cbrt z))) (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))) (* (/ 1 (* (cbrt z) (cbrt z))) (/ y (cbrt z))) (* (/ x (* (cbrt z) (cbrt z))) y) (* x (/ y (cbrt z))) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (cbrt z) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)) (sqrt (cbrt z)) (sqrt (cbrt z)) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (cbrt z) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)) (sqrt (cbrt z)) (sqrt (cbrt z)) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (cbrt z) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) (* (* (cbrt z) (cbrt z)) (cbrt z)) (sqrt (cbrt z)) (sqrt (cbrt z)) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) 0.782 * [simplify]: Sending expressions to egg_math: (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1))) (+ (- (log h0) (+ (log (cbrt h1)) (log (cbrt h1)))) (- (log h2) (log (cbrt h1)))) (+ (- (log h0) (+ (log (cbrt h1)) (log (cbrt h1)))) (log (/ h2 (cbrt h1)))) (+ (- (log h0) (log (* (cbrt h1) (cbrt h1)))) (- (log h2) (log (cbrt h1)))) (+ (- (log h0) (log (* (cbrt h1) (cbrt h1)))) (log (/ h2 (cbrt h1)))) (+ (log (/ h0 (* (cbrt h1) (cbrt h1)))) (- (log h2) (log (cbrt h1)))) (+ (log (/ h0 (* (cbrt h1) (cbrt h1)))) (log (/ h2 (cbrt h1)))) (log (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (exp (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (* (/ (* (* h0 h0) h0) (* h1 h1)) (/ (* (* h2 h2) h2) h1)) (* (/ (* (* h0 h0) h0) (* h1 h1)) (* (* (/ h2 (cbrt h1)) (/ h2 (cbrt h1))) (/ h2 (cbrt h1)))) (* (/ (* (* h0 h0) h0) (* (* (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1)))) (/ (* (* h2 h2) h2) h1)) (* (/ (* (* h0 h0) h0) (* (* (* (cbrt h1) (cbrt h1)) (* (cbrt h1) (cbrt h1))) (* (cbrt h1) (cbrt h1)))) (* (* (/ h2 (cbrt h1)) (/ h2 (cbrt h1))) (/ h2 (cbrt h1)))) (* (* (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h0 (* (cbrt h1) (cbrt h1)))) (/ h0 (* (cbrt h1) (cbrt h1)))) (/ (* (* h2 h2) h2) h1)) (* (* (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h0 (* (cbrt h1) (cbrt h1)))) (/ h0 (* (cbrt h1) (cbrt h1)))) (* (* (/ h2 (cbrt h1)) (/ h2 (cbrt h1))) (/ h2 (cbrt h1)))) (* (cbrt (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (cbrt (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1))))) (cbrt (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (* (* (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (sqrt (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (sqrt (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1)))) (* h0 h2) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (sqrt (/ h2 (cbrt h1)))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (sqrt (/ h2 (cbrt h1)))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1)))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (cbrt (sqrt h1)))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1)))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ (sqrt h2) (sqrt (cbrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (sqrt (/ h2 (cbrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (sqrt (/ h2 (cbrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (/ (sqrt h2) (cbrt (sqrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (/ (sqrt h2) (cbrt (sqrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (/ (sqrt h2) (sqrt (cbrt h1)))) (* (/ (sqrt h0) (cbrt h1)) (/ (sqrt h2) (sqrt (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (* (cbrt (/ h2 (cbrt h1))) (cbrt (/ h2 (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (sqrt (/ h2 (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (cbrt (* (cbrt h1) (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (cbrt (sqrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (cbrt 1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (* (cbrt h2) (cbrt h2)) 1)) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) (cbrt (* (cbrt h1) (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) (cbrt (sqrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) (cbrt 1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) (sqrt (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ (sqrt h2) 1)) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (cbrt (* (cbrt h1) (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (cbrt (sqrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (cbrt 1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (* (cbrt (cbrt h1)) (cbrt (cbrt h1))))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 (sqrt (cbrt h1)))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ 1 1)) (* (/ h0 (* (cbrt h1) (cbrt h1))) 1) (* (/ h0 (* (cbrt h1) (cbrt h1))) h2) (* (cbrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ h2 (cbrt h1))) (* (sqrt (/ h0 (* (cbrt h1) (cbrt h1)))) (/ h2 (cbrt h1))) (* (/ (cbrt h0) (cbrt h1)) (/ h2 (cbrt h1))) (* (/ (sqrt h0) (cbrt h1)) (/ h2 (cbrt h1))) (* (/ h0 (cbrt h1)) (/ h2 (cbrt h1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1))) (* (/ 1 (* (cbrt h1) (cbrt h1))) (/ h2 (cbrt h1))) (* (/ h0 (* (cbrt h1) (cbrt h1))) h2) (* h0 (/ h2 (cbrt h1))) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (/ (* h0 h2) h1) (/ (* h0 h2) h1) (/ (* h0 h2) h1) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 0.793 * * [simplify]: iteration 0 : 420 enodes (cost 720 ) 0.801 * * [simplify]: iteration 1 : 2228 enodes (cost 581 ) 0.839 * * [simplify]: iteration 2 : 5001 enodes (cost 542 ) 0.843 * [simplify]: Simplified to: (/ (* x y) z) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (- (log (* x y)) (log (pow (pow z 1/3) 3))) (pow (exp 1) (/ (* x y) (pow (pow z 1/3) 3))) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (* (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z))))) (cbrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (/ (pow (* x y) 3) (pow (pow (pow z 1/3) 3) 3)) (sqrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (sqrt (* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) (* x y) z (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (sqrt (/ y (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (sqrt (/ y (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (cbrt (sqrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (cbrt (sqrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (sqrt (cbrt z)))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (sqrt (/ y (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (sqrt (/ y (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (cbrt (sqrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (cbrt (sqrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (sqrt (cbrt z)))) (* (/ (sqrt x) (cbrt z)) (/ (sqrt y) (sqrt (cbrt z)))) (/ (* (* (cbrt (/ y (cbrt z))) (cbrt (/ y (cbrt z)))) x) (pow z 2/3)) (/ (* (sqrt (/ y (cbrt z))) x) (pow z 2/3)) (/ (* (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))) x) (pow z 2/3)) (/ (* (/ (* (cbrt y) (cbrt y)) (cbrt (sqrt z))) x) (pow z 2/3)) (/ (* (/ (* (cbrt y) (cbrt y)) (cbrt 1)) x) (pow z 2/3)) (/ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt z)) (cbrt (cbrt z)))) x) (pow z 2/3)) (/ (* (/ (* (cbrt y) (cbrt y)) (sqrt (cbrt z))) x) (pow z 2/3)) (/ (* (* (cbrt y) (cbrt y)) x) (pow z 2/3)) (/ (* (/ (sqrt y) (cbrt (* (cbrt z) (cbrt z)))) x) (pow z 2/3)) (/ (* (/ (sqrt y) (cbrt (sqrt z))) x) (pow z 2/3)) (/ (* (/ (sqrt y) (cbrt 1)) x) (pow z 2/3)) (/ (* (/ (sqrt y) (* (cbrt (cbrt z)) (cbrt (cbrt z)))) x) (pow z 2/3)) (/ (* (/ (sqrt y) (sqrt (cbrt z))) x) (pow z 2/3)) (/ (* (sqrt y) x) (pow z 2/3)) (/ x (* (cbrt (* (cbrt z) (cbrt z))) (pow z 2/3))) (/ x (* (cbrt (sqrt z)) (pow z 2/3))) (/ x (* (cbrt 1) (pow z 2/3))) (/ x (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (pow z 2/3))) (/ x (* (sqrt (cbrt z)) (pow z 2/3))) (/ (* 1 x) (pow z 2/3)) (/ (* 1 x) (pow z 2/3)) (/ (* y x) (pow z 2/3)) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))) (* (sqrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (cbrt z))) (* (/ (sqrt x) (cbrt z)) (/ y (cbrt z))) (/ (* y x) (pow z 2/3)) (/ (* x y) z) (/ (* (/ y (cbrt z)) 1) (pow z 2/3)) (/ (* y x) (pow z 2/3)) (* x (/ y (cbrt z))) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (pow z 1/3) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) z (sqrt (cbrt z)) (sqrt (cbrt z)) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (pow z 1/3) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) z (sqrt (cbrt z)) (sqrt (cbrt z)) (log (cbrt z)) (exp (cbrt z)) (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)) (cbrt (sqrt z)) (cbrt (sqrt z)) (cbrt 1) (pow z 1/3) (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z)) z (sqrt (cbrt z)) (sqrt (cbrt z)) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) (pow z 1/3) (pow (/ 1 z) -1/3) (* (pow (* -1 z) 1/3) (cbrt -1)) 0.843 * * * [progress]: adding candidates to table 1.095 * * [progress]: iteration 3 / 4 1.095 * * * [progress]: picking best candidate 1.108 * * * * [pick]: Picked # 1.109 * * * [progress]: localizing error 1.114 * * * [progress]: generating rewritten candidates 1.115 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.125 * * * [progress]: generating series expansions 1.125 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.125 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 1.126 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 1.126 * [taylor]: Taking taylor expansion of (* x y) in z 1.126 * [taylor]: Taking taylor expansion of x in z 1.126 * [taylor]: Taking taylor expansion of y in z 1.126 * [taylor]: Taking taylor expansion of z in z 1.126 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 1.126 * [taylor]: Taking taylor expansion of (* x y) in y 1.126 * [taylor]: Taking taylor expansion of x in y 1.126 * [taylor]: Taking taylor expansion of y in y 1.126 * [taylor]: Taking taylor expansion of z in y 1.126 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.126 * [taylor]: Taking taylor expansion of (* x y) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of z in x 1.127 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.127 * [taylor]: Taking taylor expansion of (* x y) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of z in x 1.127 * [taylor]: Taking taylor expansion of (/ y z) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of z in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.127 * [taylor]: Taking taylor expansion of z in z 1.128 * [taylor]: Taking taylor expansion of 0 in y 1.128 * [taylor]: Taking taylor expansion of 0 in z 1.128 * [taylor]: Taking taylor expansion of 0 in z 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [taylor]: Taking taylor expansion of 0 in z 1.129 * [taylor]: Taking taylor expansion of 0 in z 1.129 * [taylor]: Taking taylor expansion of 0 in z 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.131 * [taylor]: Taking taylor expansion of 0 in z 1.131 * [taylor]: Taking taylor expansion of 0 in z 1.131 * [taylor]: Taking taylor expansion of 0 in z 1.131 * [taylor]: Taking taylor expansion of 0 in z 1.131 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 1.131 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.131 * [taylor]: Taking taylor expansion of z in z 1.131 * [taylor]: Taking taylor expansion of (* x y) in z 1.131 * [taylor]: Taking taylor expansion of x in z 1.131 * [taylor]: Taking taylor expansion of y in z 1.131 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.131 * [taylor]: Taking taylor expansion of z in y 1.131 * [taylor]: Taking taylor expansion of (* x y) in y 1.131 * [taylor]: Taking taylor expansion of x in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.132 * [taylor]: Taking taylor expansion of z in x 1.132 * [taylor]: Taking taylor expansion of (* x y) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.132 * [taylor]: Taking taylor expansion of z in x 1.132 * [taylor]: Taking taylor expansion of (* x y) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.132 * [taylor]: Taking taylor expansion of (/ z y) in y 1.132 * [taylor]: Taking taylor expansion of z in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.133 * [taylor]: Taking taylor expansion of z in z 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.134 * [taylor]: Taking taylor expansion of 0 in z 1.134 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.135 * [taylor]: Taking taylor expansion of 0 in z 1.136 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 1.136 * [taylor]: Taking taylor expansion of -1 in z 1.136 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.136 * [taylor]: Taking taylor expansion of z in z 1.136 * [taylor]: Taking taylor expansion of (* x y) in z 1.136 * [taylor]: Taking taylor expansion of x in z 1.136 * [taylor]: Taking taylor expansion of y in z 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 1.136 * [taylor]: Taking taylor expansion of -1 in y 1.136 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.136 * [taylor]: Taking taylor expansion of z in y 1.136 * [taylor]: Taking taylor expansion of (* x y) in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.136 * [taylor]: Taking taylor expansion of -1 in x 1.136 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.136 * [taylor]: Taking taylor expansion of z in x 1.136 * [taylor]: Taking taylor expansion of (* x y) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.137 * [taylor]: Taking taylor expansion of -1 in x 1.137 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.137 * [taylor]: Taking taylor expansion of z in x 1.137 * [taylor]: Taking taylor expansion of (* x y) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 1.137 * [taylor]: Taking taylor expansion of -1 in y 1.137 * [taylor]: Taking taylor expansion of (/ z y) in y 1.137 * [taylor]: Taking taylor expansion of z in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (* -1 z) in z 1.137 * [taylor]: Taking taylor expansion of -1 in z 1.137 * [taylor]: Taking taylor expansion of z in z 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [taylor]: Taking taylor expansion of 0 in z 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [taylor]: Taking taylor expansion of 0 in z 1.142 * [taylor]: Taking taylor expansion of 0 in z 1.143 * * * [progress]: simplifying candidates 1.143 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log z)) (- (log (* x y)) (log z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z)) (/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z)) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z)) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) (/ x 1) (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (/ (* x y) 1) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 1.143 * [simplify]: Sending expressions to egg_math: (- (+ (log h0) (log h1)) (log h2)) (- (log (* h0 h1)) (log h2)) (log (/ (* h0 h1) h2)) (exp (/ (* h0 h1) h2)) (/ (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (/ (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (/ (* h0 h1) h2)) (cbrt (/ (* h0 h1) h2))) (cbrt (/ (* h0 h1) h2)) (* (* (/ (* h0 h1) h2) (/ (* h0 h1) h2)) (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (sqrt (/ (* h0 h1) h2)) (- (* h0 h1)) (- h2) (/ h0 (* (cbrt h2) (cbrt h2))) (/ h1 (cbrt h2)) (/ h0 (sqrt h2)) (/ h1 (sqrt h2)) (/ h0 1) (/ h1 h2) (/ 1 h2) (/ h2 (* h0 h1)) (/ (* h0 h1) (* (cbrt h2) (cbrt h2))) (/ (* h0 h1) (sqrt h2)) (/ (* h0 h1) 1) (/ h2 h1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 1.146 * * [simplify]: iteration 0 : 111 enodes (cost 85 ) 1.149 * * [simplify]: iteration 1 : 514 enodes (cost 70 ) 1.159 * * [simplify]: iteration 2 : 2471 enodes (cost 70 ) 1.199 * * [simplify]: iteration 3 : 5001 enodes (cost 70 ) 1.200 * [simplify]: Simplified to: (log (/ (* x y) z)) (log (/ (* x y) z)) (log (/ (* x y) z)) (exp (/ (* x y) z)) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (/ (* x y) z)) (cbrt (/ (* x y) z))) (cbrt (/ (* x y) z)) (pow (/ (* x y) z) 3) (sqrt (/ (* x y) z)) (sqrt (/ (* x y) z)) (- (* x y)) (- z) (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)) (/ x (sqrt z)) (/ y (sqrt z)) x (/ y z) (/ 1 z) (/ z (* x y)) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (/ z y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 1.200 * * * [progress]: adding candidates to table 1.245 * * [progress]: iteration 4 / 4 1.245 * * * [progress]: picking best candidate 1.256 * * * * [pick]: Picked # 1.256 * * * [progress]: localizing error 1.262 * * * [progress]: generating rewritten candidates 1.262 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.291 * * * [progress]: generating series expansions 1.291 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.292 * [approximate]: Taking taylor expansion of (/ (* x y) z) in (x y z) around 0 1.292 * [taylor]: Taking taylor expansion of (/ (* x y) z) in z 1.292 * [taylor]: Taking taylor expansion of (* x y) in z 1.292 * [taylor]: Taking taylor expansion of x in z 1.292 * [taylor]: Taking taylor expansion of y in z 1.292 * [taylor]: Taking taylor expansion of z in z 1.292 * [taylor]: Taking taylor expansion of (/ (* x y) z) in y 1.292 * [taylor]: Taking taylor expansion of (* x y) in y 1.292 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of z in y 1.292 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.292 * [taylor]: Taking taylor expansion of (* x y) in x 1.292 * [taylor]: Taking taylor expansion of x in x 1.292 * [taylor]: Taking taylor expansion of y in x 1.292 * [taylor]: Taking taylor expansion of z in x 1.293 * [taylor]: Taking taylor expansion of (/ (* x y) z) in x 1.293 * [taylor]: Taking taylor expansion of (* x y) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of y in x 1.293 * [taylor]: Taking taylor expansion of z in x 1.293 * [taylor]: Taking taylor expansion of (/ y z) in y 1.293 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of z in y 1.293 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.293 * [taylor]: Taking taylor expansion of z in z 1.294 * [taylor]: Taking taylor expansion of 0 in y 1.294 * [taylor]: Taking taylor expansion of 0 in z 1.294 * [taylor]: Taking taylor expansion of 0 in z 1.295 * [taylor]: Taking taylor expansion of 0 in y 1.295 * [taylor]: Taking taylor expansion of 0 in z 1.295 * [taylor]: Taking taylor expansion of 0 in z 1.295 * [taylor]: Taking taylor expansion of 0 in z 1.297 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [taylor]: Taking taylor expansion of 0 in z 1.297 * [taylor]: Taking taylor expansion of 0 in z 1.297 * [taylor]: Taking taylor expansion of 0 in z 1.297 * [taylor]: Taking taylor expansion of 0 in z 1.297 * [approximate]: Taking taylor expansion of (/ z (* x y)) in (x y z) around 0 1.297 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.297 * [taylor]: Taking taylor expansion of z in z 1.297 * [taylor]: Taking taylor expansion of (* x y) in z 1.297 * [taylor]: Taking taylor expansion of x in z 1.297 * [taylor]: Taking taylor expansion of y in z 1.297 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.297 * [taylor]: Taking taylor expansion of z in y 1.297 * [taylor]: Taking taylor expansion of (* x y) in y 1.297 * [taylor]: Taking taylor expansion of x in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.298 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.298 * [taylor]: Taking taylor expansion of z in x 1.298 * [taylor]: Taking taylor expansion of (* x y) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.298 * [taylor]: Taking taylor expansion of z in x 1.298 * [taylor]: Taking taylor expansion of (* x y) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of y in x 1.298 * [taylor]: Taking taylor expansion of (/ z y) in y 1.299 * [taylor]: Taking taylor expansion of z in y 1.299 * [taylor]: Taking taylor expansion of y in y 1.299 * [taylor]: Taking taylor expansion of z in z 1.299 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [taylor]: Taking taylor expansion of 0 in z 1.300 * [taylor]: Taking taylor expansion of 0 in y 1.300 * [taylor]: Taking taylor expansion of 0 in z 1.301 * [taylor]: Taking taylor expansion of 0 in z 1.302 * [approximate]: Taking taylor expansion of (* -1 (/ z (* x y))) in (x y z) around 0 1.302 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in z 1.302 * [taylor]: Taking taylor expansion of -1 in z 1.302 * [taylor]: Taking taylor expansion of (/ z (* x y)) in z 1.302 * [taylor]: Taking taylor expansion of z in z 1.302 * [taylor]: Taking taylor expansion of (* x y) in z 1.302 * [taylor]: Taking taylor expansion of x in z 1.302 * [taylor]: Taking taylor expansion of y in z 1.302 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in y 1.302 * [taylor]: Taking taylor expansion of -1 in y 1.302 * [taylor]: Taking taylor expansion of (/ z (* x y)) in y 1.302 * [taylor]: Taking taylor expansion of z in y 1.302 * [taylor]: Taking taylor expansion of (* x y) in y 1.302 * [taylor]: Taking taylor expansion of x in y 1.302 * [taylor]: Taking taylor expansion of y in y 1.302 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.302 * [taylor]: Taking taylor expansion of -1 in x 1.302 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.302 * [taylor]: Taking taylor expansion of z in x 1.302 * [taylor]: Taking taylor expansion of (* x y) in x 1.302 * [taylor]: Taking taylor expansion of x in x 1.302 * [taylor]: Taking taylor expansion of y in x 1.302 * [taylor]: Taking taylor expansion of (* -1 (/ z (* x y))) in x 1.303 * [taylor]: Taking taylor expansion of -1 in x 1.303 * [taylor]: Taking taylor expansion of (/ z (* x y)) in x 1.303 * [taylor]: Taking taylor expansion of z in x 1.303 * [taylor]: Taking taylor expansion of (* x y) in x 1.303 * [taylor]: Taking taylor expansion of x in x 1.303 * [taylor]: Taking taylor expansion of y in x 1.303 * [taylor]: Taking taylor expansion of (* -1 (/ z y)) in y 1.303 * [taylor]: Taking taylor expansion of -1 in y 1.303 * [taylor]: Taking taylor expansion of (/ z y) in y 1.303 * [taylor]: Taking taylor expansion of z in y 1.303 * [taylor]: Taking taylor expansion of y in y 1.303 * [taylor]: Taking taylor expansion of (* -1 z) in z 1.303 * [taylor]: Taking taylor expansion of -1 in z 1.303 * [taylor]: Taking taylor expansion of z in z 1.304 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [taylor]: Taking taylor expansion of 0 in z 1.307 * [taylor]: Taking taylor expansion of 0 in y 1.307 * [taylor]: Taking taylor expansion of 0 in z 1.308 * [taylor]: Taking taylor expansion of 0 in z 1.309 * * * [progress]: simplifying candidates 1.309 * [simplify]: Simplifying using # : (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z)) (+ (+ (log x) (log y)) (- (log z))) (+ (+ (log x) (log y)) (- 0 (log z))) (+ (+ (log x) (log y)) (- (log 1) (log z))) (+ (+ (log x) (log y)) (log (/ 1 z))) (+ (log (* x y)) (- (log z))) (+ (log (* x y)) (- 0 (log z))) (+ (log (* x y)) (- (log 1) (log z))) (+ (log (* x y)) (log (/ 1 z))) (log (* (* x y) (/ 1 z))) (exp (* (* x y) (/ 1 z))) (* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z))) (* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z))) (* (cbrt (* (* x y) (/ 1 z))) (cbrt (* (* x y) (/ 1 z)))) (cbrt (* (* x y) (/ 1 z))) (* (* (* (* x y) (/ 1 z)) (* (* x y) (/ 1 z))) (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (* x y) (sqrt (/ 1 z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt z))) (* (* x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (* (* x y) (/ (sqrt 1) (sqrt z))) (* (* x y) (/ (sqrt 1) 1)) (* (* x y) (/ 1 (* (cbrt z) (cbrt z)))) (* (* x y) (/ 1 (sqrt z))) (* (* x y) (/ 1 1)) (* (* x y) 1) (* (* x y) 1) (* y (/ 1 z)) (* (* x y) 1) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 1.310 * [simplify]: Sending expressions to egg_math: (* (* h0 h1) (/ 1 h2)) (* (* h0 h1) (/ 1 h2)) (+ (+ (log h0) (log h1)) (- (log h2))) (+ (+ (log h0) (log h1)) (- 0 (log h2))) (+ (+ (log h0) (log h1)) (- (log 1) (log h2))) (+ (+ (log h0) (log h1)) (log (/ 1 h2))) (+ (log (* h0 h1)) (- (log h2))) (+ (log (* h0 h1)) (- 0 (log h2))) (+ (log (* h0 h1)) (- (log 1) (log h2))) (+ (log (* h0 h1)) (log (/ 1 h2))) (log (* (* h0 h1) (/ 1 h2))) (exp (* (* h0 h1) (/ 1 h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (/ (* (* 1 1) 1) (* (* h2 h2) h2))) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* (/ 1 h2) (/ 1 h2)) (/ 1 h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (/ (* (* 1 1) 1) (* (* h2 h2) h2))) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* (/ 1 h2) (/ 1 h2)) (/ 1 h2))) (* (cbrt (* (* h0 h1) (/ 1 h2))) (cbrt (* (* h0 h1) (/ 1 h2)))) (cbrt (* (* h0 h1) (/ 1 h2))) (* (* (* (* h0 h1) (/ 1 h2)) (* (* h0 h1) (/ 1 h2))) (* (* h0 h1) (/ 1 h2))) (sqrt (* (* h0 h1) (/ 1 h2))) (sqrt (* (* h0 h1) (/ 1 h2))) (* (* h0 h1) (* (cbrt (/ 1 h2)) (cbrt (/ 1 h2)))) (* (* h0 h1) (sqrt (/ 1 h2))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) (sqrt h2))) (* (* h0 h1) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (* h0 h1) (/ (sqrt 1) (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ (sqrt 1) (sqrt h2))) (* (* h0 h1) (/ (sqrt 1) 1)) (* (* h0 h1) (/ 1 (* (cbrt h2) (cbrt h2)))) (* (* h0 h1) (/ 1 (sqrt h2))) (* (* h0 h1) (/ 1 1)) (* (* h0 h1) 1) (* (* h0 h1) 1) (* h1 (/ 1 h2)) (* (* h0 h1) 1) (/ (* h0 h1) h2) (/ (* h0 h1) h2) (/ (* h0 h1) h2) 1.314 * * [simplify]: iteration 0 : 244 enodes (cost 183 ) 1.320 * * [simplify]: iteration 1 : 1259 enodes (cost 141 ) 1.344 * * [simplify]: iteration 2 : 5001 enodes (cost 127 ) 1.345 * [simplify]: Simplified to: (/ (* x y) z) (/ (* x y) z) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (- (log (* x y)) (log z)) (pow (exp (/ x z)) y) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (pow (/ (* x y) z) 3) (* (cbrt (* (* x y) (/ 1 z))) (cbrt (* (* x y) (/ 1 z)))) (cbrt (* (* x y) (/ 1 z))) (pow (/ (* x y) z) 3) (sqrt (* (* x y) (/ 1 z))) (sqrt (* (* x y) (/ 1 z))) (* (* x y) (* (cbrt (/ 1 z)) (cbrt (/ 1 z)))) (* (* x y) (sqrt (/ 1 z))) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (/ (* x y) (* (cbrt z) (cbrt z))) (/ (* x y) (sqrt z)) (* x y) (* x y) (* x y) (/ y z) (* x y) (/ (* x y) z) (/ (* x y) z) (/ (* x y) z) 1.345 * * * [progress]: adding candidates to table 1.405 * [progress]: [Phase 3 of 3] Extracting. 1.405 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.405 * * * [regime-changes]: Trying 5 branch expressions: ((* x y) (/ (* x y) z) z y x) 1.405 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # # # #) 1.449 * * * * [regimes]: Trying to branch on (* x y) from (# # # #) 1.468 * * * * [regimes]: Trying to branch on (/ (* x y) z) from (# # # # # # # #) 1.516 * * * * [regimes]: Trying to branch on (/ (* x y) z) from (# #) 1.532 * * * * [regimes]: Trying to branch on z from (# # # # # # # #) 1.572 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.602 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.647 * * * [regime]: Found split indices: #