21.885 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) 0.027 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.028 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 76 enodes (cost 3 ) 0.033 * * [simplify]: iteration 4 : 88 enodes (cost 3 ) 0.035 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.037 * * [simplify]: iteration 6 : 236 enodes (cost 3 ) 0.040 * * [simplify]: iteration 7 : 328 enodes (cost 3 ) 0.042 * * [simplify]: iteration 8 : 343 enodes (cost 3 ) 0.046 * * [simplify]: iteration 9 : 443 enodes (cost 3 ) 0.051 * * [simplify]: iteration 10 : 797 enodes (cost 3 ) 0.077 * * [simplify]: iteration 11 : 3499 enodes (cost 3 ) 0.300 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.302 * [simplify]: Simplified to: (fma 3 (* z z) (* x y)) 0.305 * * [progress]: iteration 1 / 4 0.305 * * * [progress]: picking best candidate 0.307 * * * * [pick]: Picked # 0.307 * * * [progress]: localizing error 0.313 * * * [progress]: generating rewritten candidates 0.313 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.314 * [approximate]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in (z x y) around 0 0.314 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in y 0.314 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.314 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.314 * [taylor]: Taking taylor expansion of 3 in y 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.314 * [taylor]: Taking taylor expansion of z in y 0.314 * [taylor]: Taking taylor expansion of (* x y) in y 0.314 * [taylor]: Taking taylor expansion of x in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in x 0.314 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.314 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.314 * [taylor]: Taking taylor expansion of 3 in x 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.314 * [taylor]: Taking taylor expansion of z in x 0.314 * [taylor]: Taking taylor expansion of (* x y) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.314 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.314 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.314 * [taylor]: Taking taylor expansion of 3 in z 0.314 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.314 * [taylor]: Taking taylor expansion of z in z 0.314 * [taylor]: Taking taylor expansion of (* x y) in z 0.314 * [taylor]: Taking taylor expansion of x in z 0.314 * [taylor]: Taking taylor expansion of y in z 0.314 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.314 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.315 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.315 * [taylor]: Taking taylor expansion of 3 in z 0.315 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.315 * [taylor]: Taking taylor expansion of z in z 0.315 * [taylor]: Taking taylor expansion of (* x y) in z 0.315 * [taylor]: Taking taylor expansion of x in z 0.315 * [taylor]: Taking taylor expansion of y in z 0.315 * [taylor]: Taking taylor expansion of (* x y) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 3 in x 0.317 * [taylor]: Taking taylor expansion of 3 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.320 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.320 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.320 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.320 * [taylor]: Taking taylor expansion of 3 in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.320 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.320 * [taylor]: Taking taylor expansion of z in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.320 * [taylor]: Taking taylor expansion of (* x y) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in x 0.321 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.321 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.321 * [taylor]: Taking taylor expansion of z in x 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.321 * [taylor]: Taking taylor expansion of (* x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.321 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.321 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.321 * [taylor]: Taking taylor expansion of 3 in z 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.321 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.321 * [taylor]: Taking taylor expansion of z in z 0.322 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.322 * [taylor]: Taking taylor expansion of (* x y) in z 0.322 * [taylor]: Taking taylor expansion of x in z 0.322 * [taylor]: Taking taylor expansion of y in z 0.322 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.322 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.322 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.322 * [taylor]: Taking taylor expansion of 3 in z 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (* x y)) in z 0.323 * [taylor]: Taking taylor expansion of (* x y) in z 0.323 * [taylor]: Taking taylor expansion of x in z 0.323 * [taylor]: Taking taylor expansion of y in z 0.323 * [taylor]: Taking taylor expansion of 3 in x 0.325 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.333 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.333 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.333 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.333 * [taylor]: Taking taylor expansion of 3 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.333 * [taylor]: Taking taylor expansion of z in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.334 * [taylor]: Taking taylor expansion of (* x y) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in x 0.334 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.334 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.334 * [taylor]: Taking taylor expansion of 3 in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.334 * [taylor]: Taking taylor expansion of z in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.334 * [taylor]: Taking taylor expansion of (* x y) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.335 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.335 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.335 * [taylor]: Taking taylor expansion of 3 in z 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.335 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.335 * [taylor]: Taking taylor expansion of z in z 0.335 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.335 * [taylor]: Taking taylor expansion of (* x y) in z 0.335 * [taylor]: Taking taylor expansion of x in z 0.335 * [taylor]: Taking taylor expansion of y in z 0.335 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.335 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.336 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.336 * [taylor]: Taking taylor expansion of 3 in z 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.336 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.336 * [taylor]: Taking taylor expansion of z in z 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.336 * [taylor]: Taking taylor expansion of (* x y) in z 0.336 * [taylor]: Taking taylor expansion of x in z 0.336 * [taylor]: Taking taylor expansion of y in z 0.337 * [taylor]: Taking taylor expansion of 3 in x 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of 3 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.340 * [taylor]: Taking taylor expansion of (* x y) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in x 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * * * [progress]: simplifying candidates 0.347 * [simplify]: Simplifying using # : (expm1 (fma 3 (* z z) (* x y))) (log1p (fma 3 (* z z) (* x y))) (* 3 (* z z)) (log (fma 3 (* z z) (* x y))) (exp (fma 3 (* z z) (* x y))) (* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y)))) (cbrt (fma 3 (* z z) (* x y))) (* (* (fma 3 (* z z) (* x y)) (fma 3 (* z z) (* x y))) (fma 3 (* z z) (* x y))) (sqrt (fma 3 (* z z) (* x y))) (sqrt (fma 3 (* z z) (* x y))) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) 0.350 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.351 * * [simplify]: iteration 1 : 79 enodes (cost 52 ) 0.353 * * [simplify]: iteration 2 : 256 enodes (cost 52 ) 0.358 * * [simplify]: iteration 3 : 1025 enodes (cost 52 ) 0.393 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.394 * [simplify]: Simplified to: (expm1 (fma 3 (* z z) (* x y))) (log1p (fma 3 (* z z) (* x y))) (* 3 (* z z)) (log (fma 3 (* z z) (* x y))) (exp (fma 3 (* z z) (* x y))) (* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y)))) (cbrt (fma 3 (* z z) (* x y))) (pow (fma 3 (pow z 2) (* x y)) 3) (sqrt (fma 3 (* z z) (* x y))) (sqrt (fma 3 (* z z) (* x y))) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) 0.394 * * * [progress]: adding candidates to table 0.420 * * [progress]: iteration 2 / 4 0.420 * * * [progress]: picking best candidate 0.427 * * * * [pick]: Picked # 0.427 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.438 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.444 * * * [progress]: generating series expansions 0.444 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.444 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.444 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.444 * [taylor]: Taking taylor expansion of 3 in z 0.444 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.444 * [taylor]: Taking taylor expansion of z in z 0.444 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.444 * [taylor]: Taking taylor expansion of 3 in z 0.444 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.444 * [taylor]: Taking taylor expansion of z in z 0.452 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.452 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.452 * [taylor]: Taking taylor expansion of 3 in z 0.452 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.452 * [taylor]: Taking taylor expansion of z in z 0.452 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.452 * [taylor]: Taking taylor expansion of 3 in z 0.452 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.452 * [taylor]: Taking taylor expansion of z in z 0.459 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.459 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.459 * [taylor]: Taking taylor expansion of 3 in z 0.459 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.459 * [taylor]: Taking taylor expansion of z in z 0.460 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.460 * [taylor]: Taking taylor expansion of 3 in z 0.460 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.460 * [taylor]: Taking taylor expansion of z in z 0.467 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.467 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.467 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.467 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.467 * [taylor]: Taking taylor expansion of 3 in y 0.467 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.467 * [taylor]: Taking taylor expansion of z in y 0.467 * [taylor]: Taking taylor expansion of (* x y) in y 0.467 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.467 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.467 * [taylor]: Taking taylor expansion of 3 in x 0.467 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.467 * [taylor]: Taking taylor expansion of z in x 0.467 * [taylor]: Taking taylor expansion of (* x y) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.467 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.467 * [taylor]: Taking taylor expansion of 3 in z 0.467 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.467 * [taylor]: Taking taylor expansion of z in z 0.467 * [taylor]: Taking taylor expansion of (* x y) in z 0.467 * [taylor]: Taking taylor expansion of x in z 0.467 * [taylor]: Taking taylor expansion of y in z 0.467 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.467 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.467 * [taylor]: Taking taylor expansion of 3 in z 0.467 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.467 * [taylor]: Taking taylor expansion of z in z 0.467 * [taylor]: Taking taylor expansion of (* x y) in z 0.467 * [taylor]: Taking taylor expansion of x in z 0.467 * [taylor]: Taking taylor expansion of y in z 0.468 * [taylor]: Taking taylor expansion of (* x y) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in x 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of 3 in x 0.469 * [taylor]: Taking taylor expansion of 3 in y 0.469 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in x 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.472 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.472 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.472 * [taylor]: Taking taylor expansion of 3 in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.472 * [taylor]: Taking taylor expansion of z in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.473 * [taylor]: Taking taylor expansion of (* x y) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.473 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.473 * [taylor]: Taking taylor expansion of 3 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.473 * [taylor]: Taking taylor expansion of z in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.473 * [taylor]: Taking taylor expansion of (* x y) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.474 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.474 * [taylor]: Taking taylor expansion of 3 in z 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.474 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.474 * [taylor]: Taking taylor expansion of z in z 0.474 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.474 * [taylor]: Taking taylor expansion of (* x y) in z 0.474 * [taylor]: Taking taylor expansion of x in z 0.474 * [taylor]: Taking taylor expansion of y in z 0.474 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.474 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.474 * [taylor]: Taking taylor expansion of 3 in z 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.474 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.474 * [taylor]: Taking taylor expansion of z in z 0.475 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.475 * [taylor]: Taking taylor expansion of (* x y) in z 0.475 * [taylor]: Taking taylor expansion of x in z 0.475 * [taylor]: Taking taylor expansion of y in z 0.475 * [taylor]: Taking taylor expansion of 3 in x 0.479 * [taylor]: Taking taylor expansion of 0 in x 0.479 * [taylor]: Taking taylor expansion of 3 in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.481 * [taylor]: Taking taylor expansion of (* x y) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.483 * [taylor]: Taking taylor expansion of 0 in x 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in x 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.488 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.488 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.488 * [taylor]: Taking taylor expansion of 3 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.488 * [taylor]: Taking taylor expansion of z in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.488 * [taylor]: Taking taylor expansion of (* x y) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.488 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.488 * [taylor]: Taking taylor expansion of 3 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.489 * [taylor]: Taking taylor expansion of z in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.489 * [taylor]: Taking taylor expansion of (* x y) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.489 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.489 * [taylor]: Taking taylor expansion of 3 in z 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.489 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.489 * [taylor]: Taking taylor expansion of z in z 0.490 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.490 * [taylor]: Taking taylor expansion of (* x y) in z 0.490 * [taylor]: Taking taylor expansion of x in z 0.490 * [taylor]: Taking taylor expansion of y in z 0.490 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.490 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.490 * [taylor]: Taking taylor expansion of 3 in z 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.490 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.490 * [taylor]: Taking taylor expansion of z in z 0.490 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.490 * [taylor]: Taking taylor expansion of (* x y) in z 0.490 * [taylor]: Taking taylor expansion of x in z 0.490 * [taylor]: Taking taylor expansion of y in z 0.491 * [taylor]: Taking taylor expansion of 3 in x 0.492 * [taylor]: Taking taylor expansion of 0 in x 0.492 * [taylor]: Taking taylor expansion of 3 in y 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.494 * [taylor]: Taking taylor expansion of (* x y) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of 0 in x 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.499 * [taylor]: Taking taylor expansion of 0 in x 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.501 * * * [progress]: simplifying candidates 0.501 * [simplify]: Simplifying using # : (expm1 (* 3 (* z z))) (log1p (* 3 (* z z))) (* 3 (* z z)) (* 3 (* z z)) (+ (log 3) (+ (log z) (log z))) (+ (log 3) (log (* z z))) (log (* 3 (* z z))) (exp (* 3 (* z z))) (* (* (* 3 3) 3) (* (* (* z z) z) (* (* z z) z))) (* (* (* 3 3) 3) (* (* (* z z) (* z z)) (* z z))) (* (cbrt (* 3 (* z z))) (cbrt (* 3 (* z z)))) (cbrt (* 3 (* z z))) (* (* (* 3 (* z z)) (* 3 (* z z))) (* 3 (* z z))) (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))) (* (sqrt 3) z) (* (sqrt 3) z) (* 3 z) (* (cbrt 3) (* z z)) (* (sqrt 3) (* z z)) (* 3 (* z z)) (expm1 (+ (* 3 (* z z)) (* x y))) (log1p (+ (* 3 (* z z)) (* x y))) (* (exp (* 3 (* z z))) (exp (* x y))) (log (+ (* 3 (* z z)) (* x y))) (exp (+ (* 3 (* z z)) (* x y))) (* (cbrt (+ (* 3 (* z z)) (* x y))) (cbrt (+ (* 3 (* z z)) (* x y)))) (cbrt (+ (* 3 (* z z)) (* x y))) (* (* (+ (* 3 (* z z)) (* x y)) (+ (* 3 (* z z)) (* x y))) (+ (* 3 (* z z)) (* x y))) (sqrt (+ (* 3 (* z z)) (* x y))) (sqrt (+ (* 3 (* z z)) (* x y))) (+ (pow (* 3 (* z z)) 3) (pow (* x y) 3)) (+ (* (* 3 (* z z)) (* 3 (* z z))) (- (* (* x y) (* x y)) (* (* 3 (* z z)) (* x y)))) (- (* (* 3 (* z z)) (* 3 (* z z))) (* (* x y) (* x y))) (- (* 3 (* z z)) (* x y)) (* 3 (pow z 2)) (* 3 (pow z 2)) (* 3 (pow z 2)) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) 0.505 * * [simplify]: iteration 0 : 176 enodes (cost 174 ) 0.509 * * [simplify]: iteration 1 : 664 enodes (cost 155 ) 0.522 * * [simplify]: iteration 2 : 2741 enodes (cost 148 ) 0.578 * * [simplify]: iteration 3 : 5002 enodes (cost 148 ) 0.580 * [simplify]: Simplified to: (expm1 (* 3 (* z z))) (log1p (* 3 (* z z))) (* 3 (* z z)) (* 3 (* z z)) (log (* 3 (* z z))) (log (* 3 (* z z))) (log (* 3 (* z z))) (exp (* 3 (* z z))) (* 27 (pow z 6)) (* 27 (pow z 6)) (* (cbrt (* 3 (* z z))) (cbrt (* 3 (* z z)))) (cbrt (* 3 (* z z))) (* 27 (pow z 6)) (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))) (* (sqrt 3) z) (* (sqrt 3) z) (* 3 z) (* (cbrt 3) (* z z)) (* (sqrt 3) (* z z)) (* 3 (* z z)) (expm1 (+ (* 3 (* z z)) (* x y))) (log1p (+ (* 3 (* z z)) (* x y))) (exp (fma 3 (pow z 2) (* x y))) (log (+ (* 3 (* z z)) (* x y))) (exp (fma 3 (pow z 2) (* x y))) (* (cbrt (+ (* 3 (* z z)) (* x y))) (cbrt (+ (* 3 (* z z)) (* x y)))) (cbrt (+ (* 3 (* z z)) (* x y))) (pow (fma 3 (pow z 2) (* x y)) 3) (sqrt (+ (* 3 (* z z)) (* x y))) (sqrt (+ (* 3 (* z z)) (* x y))) (fma 27 (pow (pow z 2) 3) (pow (* x y) 3)) (fma (pow z 4) 9 (* (* x y) (- (* x y) (* 3 (* z z))))) (fma (pow z 4) 9 (- (* (* x y) (* x y)))) (- (* 3 (* z z)) (* x y)) (* 3 (* z z)) (* 3 (* z z)) (* 3 (* z z)) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) 0.580 * * * [progress]: adding candidates to table 0.635 * * [progress]: iteration 3 / 4 0.635 * * * [progress]: picking best candidate 0.640 * * * * [pick]: Picked # 0.640 * * * [progress]: localizing error 0.645 * * * [progress]: generating rewritten candidates 0.646 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.650 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.655 * * * [progress]: generating series expansions 0.655 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.656 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.656 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.656 * [taylor]: Taking taylor expansion of 3 in z 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.656 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.656 * [taylor]: Taking taylor expansion of 3 in z 0.656 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.656 * [taylor]: Taking taylor expansion of z in z 0.663 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.663 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.663 * [taylor]: Taking taylor expansion of 3 in z 0.663 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.663 * [taylor]: Taking taylor expansion of z in z 0.664 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.664 * [taylor]: Taking taylor expansion of 3 in z 0.664 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.664 * [taylor]: Taking taylor expansion of z in z 0.670 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.671 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.671 * [taylor]: Taking taylor expansion of 3 in z 0.671 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.671 * [taylor]: Taking taylor expansion of z in z 0.671 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.671 * [taylor]: Taking taylor expansion of 3 in z 0.671 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.671 * [taylor]: Taking taylor expansion of z in z 0.678 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.678 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.678 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.678 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.678 * [taylor]: Taking taylor expansion of 3 in y 0.678 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.678 * [taylor]: Taking taylor expansion of z in y 0.678 * [taylor]: Taking taylor expansion of (* x y) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.678 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.678 * [taylor]: Taking taylor expansion of 3 in x 0.678 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.678 * [taylor]: Taking taylor expansion of z in x 0.678 * [taylor]: Taking taylor expansion of (* x y) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.678 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.678 * [taylor]: Taking taylor expansion of 3 in z 0.678 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.678 * [taylor]: Taking taylor expansion of z in z 0.678 * [taylor]: Taking taylor expansion of (* x y) in z 0.678 * [taylor]: Taking taylor expansion of x in z 0.678 * [taylor]: Taking taylor expansion of y in z 0.678 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.678 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.678 * [taylor]: Taking taylor expansion of 3 in z 0.679 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.679 * [taylor]: Taking taylor expansion of z in z 0.679 * [taylor]: Taking taylor expansion of (* x y) in z 0.679 * [taylor]: Taking taylor expansion of x in z 0.679 * [taylor]: Taking taylor expansion of y in z 0.679 * [taylor]: Taking taylor expansion of (* x y) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.679 * [taylor]: Taking taylor expansion of 0 in x 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 3 in x 0.681 * [taylor]: Taking taylor expansion of 3 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in x 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.686 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.686 * [taylor]: Taking taylor expansion of z in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.687 * [taylor]: Taking taylor expansion of (* x y) in y 0.687 * [taylor]: Taking taylor expansion of x in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.687 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.687 * [taylor]: Taking taylor expansion of 3 in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.687 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.687 * [taylor]: Taking taylor expansion of z in x 0.687 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.687 * [taylor]: Taking taylor expansion of (* x y) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.688 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.688 * [taylor]: Taking taylor expansion of 3 in z 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.688 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.688 * [taylor]: Taking taylor expansion of z in z 0.688 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.688 * [taylor]: Taking taylor expansion of (* x y) in z 0.688 * [taylor]: Taking taylor expansion of x in z 0.688 * [taylor]: Taking taylor expansion of y in z 0.688 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.688 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.688 * [taylor]: Taking taylor expansion of 3 in z 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.688 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.688 * [taylor]: Taking taylor expansion of z in z 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.689 * [taylor]: Taking taylor expansion of (* x y) in z 0.689 * [taylor]: Taking taylor expansion of x in z 0.689 * [taylor]: Taking taylor expansion of y in z 0.689 * [taylor]: Taking taylor expansion of 3 in x 0.691 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of 3 in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.692 * [taylor]: Taking taylor expansion of (* x y) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.693 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of 0 in x 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of 0 in x 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.699 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.699 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.699 * [taylor]: Taking taylor expansion of 3 in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.699 * [taylor]: Taking taylor expansion of z in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.700 * [taylor]: Taking taylor expansion of (* x y) in y 0.700 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.700 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.700 * [taylor]: Taking taylor expansion of 3 in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.700 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.700 * [taylor]: Taking taylor expansion of z in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.700 * [taylor]: Taking taylor expansion of (* x y) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.701 * [taylor]: Taking taylor expansion of 3 in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.701 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.701 * [taylor]: Taking taylor expansion of z in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.701 * [taylor]: Taking taylor expansion of (* x y) in z 0.701 * [taylor]: Taking taylor expansion of x in z 0.701 * [taylor]: Taking taylor expansion of y in z 0.701 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.701 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.701 * [taylor]: Taking taylor expansion of 3 in z 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.701 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.701 * [taylor]: Taking taylor expansion of z in z 0.702 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.702 * [taylor]: Taking taylor expansion of (* x y) in z 0.702 * [taylor]: Taking taylor expansion of x in z 0.702 * [taylor]: Taking taylor expansion of y in z 0.702 * [taylor]: Taking taylor expansion of 3 in x 0.704 * [taylor]: Taking taylor expansion of 0 in x 0.704 * [taylor]: Taking taylor expansion of 3 in y 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.705 * [taylor]: Taking taylor expansion of (* x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in x 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of 0 in x 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * * * [progress]: simplifying candidates 0.713 * [simplify]: Simplifying using # : (expm1 (* (* 3 z) z)) (log1p (* (* 3 z) z)) (* (* 3 z) z) (* (* 3 z) z) (+ (+ (log 3) (log z)) (log z)) (+ (log (* 3 z)) (log z)) (log (* (* 3 z) z)) (exp (* (* 3 z) z)) (* (* (* (* 3 3) 3) (* (* z z) z)) (* (* z z) z)) (* (* (* (* 3 z) (* 3 z)) (* 3 z)) (* (* z z) z)) (* (cbrt (* (* 3 z) z)) (cbrt (* (* 3 z) z))) (cbrt (* (* 3 z) z)) (* (* (* (* 3 z) z) (* (* 3 z) z)) (* (* 3 z) z)) (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)) (* (* 3 z) (* (cbrt z) (cbrt z))) (* (* 3 z) (sqrt z)) (* (* 3 z) 1) (* z z) (expm1 (+ (* (* 3 z) z) (* x y))) (log1p (+ (* (* 3 z) z) (* x y))) (* (exp (* (* 3 z) z)) (exp (* x y))) (log (+ (* (* 3 z) z) (* x y))) (exp (+ (* (* 3 z) z) (* x y))) (* (cbrt (+ (* (* 3 z) z) (* x y))) (cbrt (+ (* (* 3 z) z) (* x y)))) (cbrt (+ (* (* 3 z) z) (* x y))) (* (* (+ (* (* 3 z) z) (* x y)) (+ (* (* 3 z) z) (* x y))) (+ (* (* 3 z) z) (* x y))) (sqrt (+ (* (* 3 z) z) (* x y))) (sqrt (+ (* (* 3 z) z) (* x y))) (+ (pow (* (* 3 z) z) 3) (pow (* x y) 3)) (+ (* (* (* 3 z) z) (* (* 3 z) z)) (- (* (* x y) (* x y)) (* (* (* 3 z) z) (* x y)))) (- (* (* (* 3 z) z) (* (* 3 z) z)) (* (* x y) (* x y))) (- (* (* 3 z) z) (* x y)) (* 3 (pow z 2)) (* 3 (pow z 2)) (* 3 (pow z 2)) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) (+ (* 3 (pow z 2)) (* x y)) 0.716 * * [simplify]: iteration 0 : 185 enodes (cost 172 ) 0.721 * * [simplify]: iteration 1 : 865 enodes (cost 153 ) 0.743 * * [simplify]: iteration 2 : 4444 enodes (cost 147 ) 0.838 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.839 * [simplify]: Simplified to: (expm1 (* (* 3 z) z)) (log1p (* (* 3 z) z)) (* (* 3 z) z) (* (* 3 z) z) (log (* (* 3 z) z)) (log (* (* 3 z) z)) (log (* (* 3 z) z)) (exp (* (* 3 z) z)) (* 27 (pow z 6)) (* 27 (pow z 6)) (* (cbrt (* (* 3 z) z)) (cbrt (* (* 3 z) z))) (cbrt (* (* 3 z) z)) (* 27 (pow z 6)) (sqrt (* (* 3 z) z)) (sqrt (* (* 3 z) z)) (* (* 3 z) (* (cbrt z) (cbrt z))) (* (* 3 z) (sqrt z)) (* 3 z) (pow z 2) (expm1 (+ (* (* 3 z) z) (* x y))) (log1p (+ (* (* 3 z) z) (* x y))) (exp (fma 3 (pow z 2) (* x y))) (log (+ (* (* 3 z) z) (* x y))) (exp (fma 3 (pow z 2) (* x y))) (* (cbrt (+ (* (* 3 z) z) (* x y))) (cbrt (+ (* (* 3 z) z) (* x y)))) (cbrt (+ (* (* 3 z) z) (* x y))) (pow (fma 3 (pow z 2) (* x y)) 3) (sqrt (+ (* (* 3 z) z) (* x y))) (sqrt (+ (* (* 3 z) z) (* x y))) (fma 27 (pow (pow z 2) 3) (pow (* x y) 3)) (fma 9 (pow z 4) (* (* x y) (- (* x y) (* (* 3 z) z)))) (fma 9 (pow z 4) (- (* (* x y) (* x y)))) (- (* (* 3 z) z) (* x y)) (* (* 3 z) z) (* (* 3 z) z) (* (* 3 z) z) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) (fma 3 (pow z 2) (* x y)) 0.839 * * * [progress]: adding candidates to table 0.892 * * [progress]: iteration 4 / 4 0.892 * * * [progress]: picking best candidate 0.896 * * * * [pick]: Picked # 0.896 * * * [progress]: localizing error 0.903 * * * [progress]: generating rewritten candidates 0.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.908 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.920 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.931 * * * [progress]: generating series expansions 0.931 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.931 * [approximate]: Taking taylor expansion of (* (sqrt 3) z) in (z) around 0 0.931 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 0.931 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.931 * [taylor]: Taking taylor expansion of 3 in z 0.932 * [taylor]: Taking taylor expansion of z in z 0.932 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 0.932 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.932 * [taylor]: Taking taylor expansion of 3 in z 0.933 * [taylor]: Taking taylor expansion of z in z 0.943 * [approximate]: Taking taylor expansion of (/ (sqrt 3) z) in (z) around 0 0.943 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.943 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.943 * [taylor]: Taking taylor expansion of 3 in z 0.944 * [taylor]: Taking taylor expansion of z in z 0.945 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.945 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.945 * [taylor]: Taking taylor expansion of 3 in z 0.945 * [taylor]: Taking taylor expansion of z in z 0.956 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in (z) around 0 0.956 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 0.956 * [taylor]: Taking taylor expansion of -1 in z 0.957 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.957 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.957 * [taylor]: Taking taylor expansion of 3 in z 0.957 * [taylor]: Taking taylor expansion of z in z 0.958 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 0.958 * [taylor]: Taking taylor expansion of -1 in z 0.958 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.958 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.958 * [taylor]: Taking taylor expansion of 3 in z 0.958 * [taylor]: Taking taylor expansion of z in z 0.971 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.972 * [approximate]: Taking taylor expansion of (* (sqrt 3) z) in (z) around 0 0.972 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 0.972 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.972 * [taylor]: Taking taylor expansion of 3 in z 0.972 * [taylor]: Taking taylor expansion of z in z 0.972 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 0.972 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.972 * [taylor]: Taking taylor expansion of 3 in z 0.973 * [taylor]: Taking taylor expansion of z in z 0.983 * [approximate]: Taking taylor expansion of (/ (sqrt 3) z) in (z) around 0 0.983 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.983 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.983 * [taylor]: Taking taylor expansion of 3 in z 0.984 * [taylor]: Taking taylor expansion of z in z 0.985 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.985 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.985 * [taylor]: Taking taylor expansion of 3 in z 0.985 * [taylor]: Taking taylor expansion of z in z 0.993 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in (z) around 0 0.993 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 0.993 * [taylor]: Taking taylor expansion of -1 in z 0.994 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.994 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.994 * [taylor]: Taking taylor expansion of 3 in z 0.994 * [taylor]: Taking taylor expansion of z in z 0.995 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 0.995 * [taylor]: Taking taylor expansion of -1 in z 0.995 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 0.995 * [taylor]: Taking taylor expansion of (sqrt 3) in z 0.995 * [taylor]: Taking taylor expansion of 3 in z 0.995 * [taylor]: Taking taylor expansion of z in z 1.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.009 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.009 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.009 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.009 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.009 * [taylor]: Taking taylor expansion of 3 in z 1.010 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.010 * [taylor]: Taking taylor expansion of z in z 1.010 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.010 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.010 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.010 * [taylor]: Taking taylor expansion of 3 in z 1.010 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.010 * [taylor]: Taking taylor expansion of z in z 1.032 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.032 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.032 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.032 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.032 * [taylor]: Taking taylor expansion of 3 in z 1.032 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.033 * [taylor]: Taking taylor expansion of z in z 1.034 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.034 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.034 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.034 * [taylor]: Taking taylor expansion of 3 in z 1.035 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.035 * [taylor]: Taking taylor expansion of z in z 1.053 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.053 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.053 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.053 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.053 * [taylor]: Taking taylor expansion of 3 in z 1.054 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.054 * [taylor]: Taking taylor expansion of z in z 1.056 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.056 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.056 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.056 * [taylor]: Taking taylor expansion of 3 in z 1.057 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.057 * [taylor]: Taking taylor expansion of z in z 1.074 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.075 * [approximate]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in (z x y) around 0 1.075 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in y 1.075 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in y 1.075 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.075 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.075 * [taylor]: Taking taylor expansion of 3 in y 1.075 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.075 * [taylor]: Taking taylor expansion of z in y 1.076 * [taylor]: Taking taylor expansion of (* x y) in y 1.076 * [taylor]: Taking taylor expansion of x in y 1.076 * [taylor]: Taking taylor expansion of y in y 1.076 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in x 1.076 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in x 1.076 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.076 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.076 * [taylor]: Taking taylor expansion of 3 in x 1.076 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.076 * [taylor]: Taking taylor expansion of z in x 1.076 * [taylor]: Taking taylor expansion of (* x y) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of y in x 1.076 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.076 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.076 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.076 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.076 * [taylor]: Taking taylor expansion of 3 in z 1.077 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.077 * [taylor]: Taking taylor expansion of z in z 1.077 * [taylor]: Taking taylor expansion of (* x y) in z 1.077 * [taylor]: Taking taylor expansion of x in z 1.077 * [taylor]: Taking taylor expansion of y in z 1.077 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.077 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.077 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.077 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.077 * [taylor]: Taking taylor expansion of 3 in z 1.078 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.078 * [taylor]: Taking taylor expansion of z in z 1.078 * [taylor]: Taking taylor expansion of (* x y) in z 1.078 * [taylor]: Taking taylor expansion of x in z 1.078 * [taylor]: Taking taylor expansion of y in z 1.078 * [taylor]: Taking taylor expansion of (* x y) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of y in x 1.078 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of 0 in x 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.079 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.082 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.082 * [taylor]: Taking taylor expansion of 3 in x 1.083 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.083 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.083 * [taylor]: Taking taylor expansion of 3 in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.086 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in x 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.091 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.091 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.091 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.091 * [taylor]: Taking taylor expansion of 3 in y 1.092 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.092 * [taylor]: Taking taylor expansion of z in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.093 * [taylor]: Taking taylor expansion of (* x y) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.094 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.094 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.094 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.094 * [taylor]: Taking taylor expansion of 3 in x 1.094 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.094 * [taylor]: Taking taylor expansion of z in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.096 * [taylor]: Taking taylor expansion of (* x y) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.096 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.096 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.096 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.096 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.096 * [taylor]: Taking taylor expansion of 3 in z 1.097 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.097 * [taylor]: Taking taylor expansion of z in z 1.102 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.102 * [taylor]: Taking taylor expansion of (* x y) in z 1.102 * [taylor]: Taking taylor expansion of x in z 1.102 * [taylor]: Taking taylor expansion of y in z 1.102 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.102 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.102 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.102 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.102 * [taylor]: Taking taylor expansion of 3 in z 1.103 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.103 * [taylor]: Taking taylor expansion of z in z 1.105 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.105 * [taylor]: Taking taylor expansion of (* x y) in z 1.105 * [taylor]: Taking taylor expansion of x in z 1.105 * [taylor]: Taking taylor expansion of y in z 1.106 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.106 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.106 * [taylor]: Taking taylor expansion of 3 in x 1.108 * [taylor]: Taking taylor expansion of 0 in x 1.109 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.109 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.109 * [taylor]: Taking taylor expansion of 3 in y 1.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.112 * [taylor]: Taking taylor expansion of (* x y) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 0 in x 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [taylor]: Taking taylor expansion of 0 in x 1.123 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.127 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.127 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.127 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.127 * [taylor]: Taking taylor expansion of 3 in y 1.127 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.127 * [taylor]: Taking taylor expansion of z in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.129 * [taylor]: Taking taylor expansion of (* x y) in y 1.129 * [taylor]: Taking taylor expansion of x in y 1.129 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.129 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.129 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.129 * [taylor]: Taking taylor expansion of 3 in x 1.130 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.130 * [taylor]: Taking taylor expansion of z in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.131 * [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 (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.132 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.132 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.132 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.132 * [taylor]: Taking taylor expansion of 3 in z 1.133 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.133 * [taylor]: Taking taylor expansion of z in z 1.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.135 * [taylor]: Taking taylor expansion of (* x y) in z 1.135 * [taylor]: Taking taylor expansion of x in z 1.135 * [taylor]: Taking taylor expansion of y in z 1.135 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.135 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.135 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.135 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.135 * [taylor]: Taking taylor expansion of 3 in z 1.135 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.135 * [taylor]: Taking taylor expansion of z in z 1.137 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.137 * [taylor]: Taking taylor expansion of (* x y) in z 1.137 * [taylor]: Taking taylor expansion of x in z 1.137 * [taylor]: Taking taylor expansion of y in z 1.138 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.139 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.139 * [taylor]: Taking taylor expansion of 3 in x 1.141 * [taylor]: Taking taylor expansion of 0 in x 1.142 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.142 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.142 * [taylor]: Taking taylor expansion of 3 in y 1.145 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.145 * [taylor]: Taking taylor expansion of (* x y) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.150 * [taylor]: Taking taylor expansion of 0 in x 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.152 * [taylor]: Taking taylor expansion of 0 in y 1.156 * [taylor]: Taking taylor expansion of 0 in x 1.156 * [taylor]: Taking taylor expansion of 0 in y 1.157 * [taylor]: Taking taylor expansion of 0 in y 1.157 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.159 * * * [progress]: simplifying candidates 1.160 * [simplify]: Simplifying using # : (expm1 (* (sqrt 3) z)) (log1p (* (sqrt 3) z)) (* (sqrt 3) z) (+ (log (sqrt 3)) (log z)) (log (* (sqrt 3) z)) (exp (* (sqrt 3) z)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z)) (* (cbrt (* (sqrt 3) z)) (cbrt (* (sqrt 3) z))) (cbrt (* (sqrt 3) z)) (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt 3) (* (cbrt z) (cbrt z))) (* (sqrt 3) (sqrt z)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) z) (* (sqrt (cbrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (expm1 (* (sqrt 3) z)) (log1p (* (sqrt 3) z)) (* (sqrt 3) z) (+ (log (sqrt 3)) (log z)) (log (* (sqrt 3) z)) (exp (* (sqrt 3) z)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z)) (* (cbrt (* (sqrt 3) z)) (cbrt (* (sqrt 3) z))) (cbrt (* (sqrt 3) z)) (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt 3) (* (cbrt z) (cbrt z))) (* (sqrt 3) (sqrt z)) (* (sqrt 3) 1) (* (cbrt (sqrt 3)) z) (* (sqrt (cbrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (expm1 (* (* (sqrt 3) z) (* (sqrt 3) z))) (log1p (* (* (sqrt 3) z) (* (sqrt 3) z))) (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z)) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt 3)) (log z)) (+ (log (sqrt 3)) (log z))) (+ (+ (log (sqrt 3)) (log z)) (log (* (sqrt 3) z))) (+ (log (* (sqrt 3) z)) (+ (log (sqrt 3)) (log z))) (+ (log (* (sqrt 3) z)) (log (* (sqrt 3) z))) (log (* (* (sqrt 3) z) (* (sqrt 3) z))) (exp (* (* (sqrt 3) z) (* (sqrt 3) z))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z))) (* (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z)) (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z))) (* (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* z z) z))) (* (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z)) (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (sqrt 3) z))) (* (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z)))) (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (* (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z))) (* (* (sqrt 3) z) (* (sqrt 3) z))) (sqrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (sqrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (* (sqrt 3) (sqrt 3)) (* z z) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* (sqrt 3) z) (sqrt 3)) (* z (* (sqrt 3) z)) (expm1 (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (log1p (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (* (exp (* (* (sqrt 3) z) (* (sqrt 3) z))) (exp (* x y))) (log (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (exp (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (* (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y)))) (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (* (* (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y)) (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (sqrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (sqrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (+ (pow (* (* (sqrt 3) z) (* (sqrt 3) z)) 3) (pow (* x y) 3)) (+ (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z))) (- (* (* x y) (* x y)) (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y)))) (- (* (* (* (sqrt 3) z) (* (sqrt 3) z)) (* (* (sqrt 3) z) (* (sqrt 3) z))) (* (* x y) (* x y))) (- (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y)) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (pow (sqrt 3) 2) (pow z 2)) (* (pow (sqrt 3) 2) (pow z 2)) (* (pow (sqrt 3) 2) (pow z 2)) (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) 1.165 * * [simplify]: iteration 0 : 224 enodes (cost 485 ) 1.171 * * [simplify]: iteration 1 : 1066 enodes (cost 387 ) 1.199 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 1.202 * [simplify]: Simplified to: (expm1 (* (sqrt 3) z)) (log1p (* (sqrt 3) z)) (* (sqrt 3) z) (log (* (sqrt 3) z)) (log (* (sqrt 3) z)) (exp (* (sqrt 3) z)) (pow (* (sqrt 3) z) 3) (* (cbrt (* (sqrt 3) z)) (cbrt (* (sqrt 3) z))) (cbrt (* (sqrt 3) z)) (pow (* (sqrt 3) z) 3) (sqrt (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt 3) (* (cbrt z) (cbrt z))) (* (sqrt 3) (sqrt z)) (sqrt 3) (* (cbrt (sqrt 3)) z) (* (sqrt (cbrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (expm1 (* (sqrt 3) z)) (log1p (* (sqrt 3) z)) (* (sqrt 3) z) (log (* (sqrt 3) z)) (log (* (sqrt 3) z)) (exp (* (sqrt 3) z)) (pow (* (sqrt 3) z) 3) (* (cbrt (* (sqrt 3) z)) (cbrt (* (sqrt 3) z))) (cbrt (* (sqrt 3) z)) (pow (* (sqrt 3) z) 3) (sqrt (* (sqrt 3) z)) (sqrt (* (sqrt 3) z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt (sqrt 3)) (sqrt z)) (* (sqrt 3) (* (cbrt z) (cbrt z))) (* (sqrt 3) (sqrt z)) (sqrt 3) (* (cbrt (sqrt 3)) z) (* (sqrt (cbrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (expm1 (* (* (sqrt 3) z) (* (sqrt 3) z))) (log1p (* (* (sqrt 3) z) (* (sqrt 3) z))) 2 2 2 2 (* (pow z 2) 3) (* (pow z 2) 3) (* (pow z 2) 3) (* (pow z 2) 3) 2 2 (* 2 (log (* (sqrt 3) z))) (* 2 (log (* (sqrt 3) z))) (* 2 (log (* (sqrt 3) z))) (* 2 (log (* (sqrt 3) z))) (* 2 (log (* (sqrt 3) z))) (pow (exp 3) (pow z 2)) (pow (* (pow z 2) 3) 3) (pow (* (pow z 2) 3) 3) (pow (* (pow z 2) 3) 3) (pow (* (pow z 2) 3) 3) (* (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z)))) (cbrt (* (* (sqrt 3) z) (* (sqrt 3) z))) (pow (* (pow z 2) 3) 3) (fabs (* (sqrt 3) z)) (fabs (* (sqrt 3) z)) 3 (pow z 2) 2 2 2 2 (* 3 z) (* z (* (sqrt 3) z)) (expm1 (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (log1p (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (exp (fma (pow z 2) 3 (* x y))) (log (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (exp (fma (pow z 2) 3 (* x y))) (* (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y)))) (cbrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (pow (fma (pow z 2) 3 (* x y)) 3) (sqrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (sqrt (+ (* (* (sqrt 3) z) (* (sqrt 3) z)) (* x y))) (fma 27 (pow (pow z 2) 3) (pow (* x y) 3)) (fma 9 (* (pow z 2) (pow z 2)) (* y (* x (fma y x (- (* (pow z 2) 3)))))) (* (fma (pow z 2) 3 (* x y)) (fma 3 (pow z 2) (- (* x y)))) (fma 3 (pow z 2) (- (* x y))) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (sqrt 3) z) (* (pow z 2) 3) (* (pow z 2) 3) (* (pow z 2) 3) (fma (pow z 2) 3 (* x y)) (fma (pow z 2) 3 (* x y)) (fma (pow z 2) 3 (* x y)) 1.202 * * * [progress]: adding candidates to table 1.518 * [progress]: [Phase 3 of 3] Extracting. 1.518 * * [regime]: Finding splitpoints for: (# # # # #) 1.519 * * * [regime-changes]: Trying 5 branch expressions: ((* z z) (* x y) z y x) 1.519 * * * * [regimes]: Trying to branch on (* z z) from (# # # # #) 1.535 * * * * [regimes]: Trying to branch on (* x y) from (# # # # #) 1.556 * * * * [regimes]: Trying to branch on z from (# # # # #) 1.574 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.594 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.612 * * * [regime]: Found split indices: #