14.135 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) 0.023 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.026 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.028 * * [simplify]: iteration 3 : 76 enodes (cost 3 ) 0.030 * * [simplify]: iteration 4 : 88 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.034 * * [simplify]: iteration 6 : 236 enodes (cost 3 ) 0.036 * * [simplify]: iteration 7 : 328 enodes (cost 3 ) 0.039 * * [simplify]: iteration 8 : 343 enodes (cost 3 ) 0.042 * * [simplify]: iteration 9 : 443 enodes (cost 3 ) 0.048 * * [simplify]: iteration 10 : 797 enodes (cost 3 ) 0.075 * * [simplify]: iteration 11 : 3499 enodes (cost 3 ) 0.305 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.307 * [simplify]: Simplified to: (fma 3 (* z z) (* x y)) 0.309 * * [progress]: iteration 1 / 4 0.309 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.312 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.318 * * * [progress]: generating series expansions 0.318 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.318 * [approximate]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in (z x y) around 0 0.318 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in y 0.318 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.318 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.318 * [taylor]: Taking taylor expansion of 3 in y 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.318 * [taylor]: Taking taylor expansion of z in y 0.318 * [taylor]: Taking taylor expansion of (* x y) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in x 0.319 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.319 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.319 * [taylor]: Taking taylor expansion of 3 in x 0.319 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.319 * [taylor]: Taking taylor expansion of z in x 0.319 * [taylor]: Taking taylor expansion of (* x y) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.319 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.319 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.319 * [taylor]: Taking taylor expansion of 3 in z 0.319 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.319 * [taylor]: Taking taylor expansion of z in z 0.319 * [taylor]: Taking taylor expansion of (* x y) in z 0.319 * [taylor]: Taking taylor expansion of x in z 0.319 * [taylor]: Taking taylor expansion of y in z 0.319 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.319 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.319 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.319 * [taylor]: Taking taylor expansion of 3 in z 0.319 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.319 * [taylor]: Taking taylor expansion of z in z 0.319 * [taylor]: Taking taylor expansion of (* x y) in z 0.319 * [taylor]: Taking taylor expansion of x in z 0.319 * [taylor]: Taking taylor expansion of y in z 0.319 * [taylor]: Taking taylor expansion of (* x y) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.325 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.325 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.325 * [taylor]: Taking taylor expansion of z in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.325 * [taylor]: Taking taylor expansion of (* x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in x 0.325 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.326 * [taylor]: Taking taylor expansion of z in x 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 (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.326 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.326 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.326 * [taylor]: Taking taylor expansion of 3 in z 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.326 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.326 * [taylor]: Taking taylor expansion of z in z 0.327 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.327 * [taylor]: Taking taylor expansion of (* x y) in z 0.327 * [taylor]: Taking taylor expansion of x in z 0.327 * [taylor]: Taking taylor expansion of y in z 0.327 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.327 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.327 * [taylor]: Taking taylor expansion of 3 in z 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.327 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.327 * [taylor]: Taking taylor expansion of z in z 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.328 * [taylor]: Taking taylor expansion of (* x y) in z 0.328 * [taylor]: Taking taylor expansion of x in z 0.328 * [taylor]: Taking taylor expansion of y in z 0.328 * [taylor]: Taking taylor expansion of 3 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.336 * [taylor]: Taking taylor expansion of (* x y) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of 0 in x 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.342 * [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 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.343 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.344 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.344 * [taylor]: Taking taylor expansion of 3 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.344 * [taylor]: Taking taylor expansion of z in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.344 * [taylor]: Taking taylor expansion of (* x y) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in x 0.344 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.344 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.344 * [taylor]: Taking taylor expansion of 3 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.344 * [taylor]: Taking taylor expansion of z in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.345 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.345 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.345 * [taylor]: Taking taylor expansion of 3 in z 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.345 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.345 * [taylor]: Taking taylor expansion of z in z 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.346 * [taylor]: Taking taylor expansion of (* x y) in z 0.346 * [taylor]: Taking taylor expansion of x in z 0.346 * [taylor]: Taking taylor expansion of y in z 0.346 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.346 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.346 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.346 * [taylor]: Taking taylor expansion of 3 in z 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.346 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.346 * [taylor]: Taking taylor expansion of z in z 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.346 * [taylor]: Taking taylor expansion of (* x y) in z 0.346 * [taylor]: Taking taylor expansion of x in z 0.346 * [taylor]: Taking taylor expansion of y in z 0.347 * [taylor]: Taking taylor expansion of 3 in x 0.348 * [taylor]: Taking taylor expansion of 0 in x 0.348 * [taylor]: Taking taylor expansion of 3 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.350 * [taylor]: Taking taylor expansion of (* x y) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in x 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * * * [progress]: simplifying candidates 0.358 * [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)) 0.361 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.363 * * [simplify]: iteration 1 : 79 enodes (cost 52 ) 0.365 * * [simplify]: iteration 2 : 256 enodes (cost 52 ) 0.370 * * [simplify]: iteration 3 : 1025 enodes (cost 52 ) 0.407 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.407 * [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)) 0.407 * * * [progress]: adding candidates to table 0.435 * * [progress]: iteration 2 / 4 0.435 * * * [progress]: picking best candidate 0.443 * * * * [pick]: Picked # 0.443 * * * [progress]: localizing error 0.449 * * * [progress]: generating rewritten candidates 0.449 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.456 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.463 * * * [progress]: generating series expansions 0.463 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.463 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.463 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.463 * [taylor]: Taking taylor expansion of 3 in z 0.464 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.464 * [taylor]: Taking taylor expansion of z in z 0.464 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.464 * [taylor]: Taking taylor expansion of 3 in z 0.464 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.464 * [taylor]: Taking taylor expansion of z in z 0.472 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.472 * [taylor]: Taking taylor expansion of 3 in z 0.472 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.472 * [taylor]: Taking taylor expansion of z in z 0.473 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.473 * [taylor]: Taking taylor expansion of 3 in z 0.473 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.473 * [taylor]: Taking taylor expansion of z in z 0.481 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.481 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.481 * [taylor]: Taking taylor expansion of 3 in z 0.481 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.481 * [taylor]: Taking taylor expansion of z in z 0.481 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.482 * [taylor]: Taking taylor expansion of 3 in z 0.482 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.482 * [taylor]: Taking taylor expansion of z in z 0.489 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.489 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.489 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.489 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.489 * [taylor]: Taking taylor expansion of 3 in y 0.489 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.489 * [taylor]: Taking taylor expansion of z in y 0.489 * [taylor]: Taking taylor expansion of (* x y) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.489 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.489 * [taylor]: Taking taylor expansion of 3 in x 0.489 * [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 (* 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 (pow z 2)) (* x y)) in z 0.489 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.489 * [taylor]: Taking taylor expansion of 3 in z 0.489 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.489 * [taylor]: Taking taylor expansion of z in z 0.489 * [taylor]: Taking taylor expansion of (* x y) in z 0.489 * [taylor]: Taking taylor expansion of x in z 0.489 * [taylor]: Taking taylor expansion of y in z 0.489 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.490 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.490 * [taylor]: Taking taylor expansion of 3 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 (* 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 (* x y) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 3 in x 0.491 * [taylor]: Taking taylor expansion of 3 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in x 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.495 * [taylor]: Taking taylor expansion of 3 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.495 * [taylor]: Taking taylor expansion of z in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.495 * [taylor]: Taking taylor expansion of (* x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.495 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.495 * [taylor]: Taking taylor expansion of 3 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.496 * [taylor]: Taking taylor expansion of z in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.496 * [taylor]: Taking taylor expansion of (* x y) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.496 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.496 * [taylor]: Taking taylor expansion of 3 in z 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.496 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.496 * [taylor]: Taking taylor expansion of z in z 0.497 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.497 * [taylor]: Taking taylor expansion of (* x y) in z 0.497 * [taylor]: Taking taylor expansion of x in z 0.497 * [taylor]: Taking taylor expansion of y in z 0.497 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.497 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.497 * [taylor]: Taking taylor expansion of 3 in z 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.497 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.497 * [taylor]: Taking taylor expansion of z in z 0.497 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.497 * [taylor]: Taking taylor expansion of (* x y) in z 0.497 * [taylor]: Taking taylor expansion of x in z 0.497 * [taylor]: Taking taylor expansion of y in z 0.498 * [taylor]: Taking taylor expansion of 3 in x 0.499 * [taylor]: Taking taylor expansion of 0 in x 0.500 * [taylor]: Taking taylor expansion of 3 in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.501 * [taylor]: Taking taylor expansion of (* x y) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in x 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.509 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.509 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.509 * [taylor]: Taking taylor expansion of 3 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.509 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.509 * [taylor]: Taking taylor expansion of z in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.509 * [taylor]: Taking taylor expansion of (* x y) in y 0.509 * [taylor]: Taking taylor expansion of x in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.509 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.509 * [taylor]: Taking taylor expansion of 3 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.510 * [taylor]: Taking taylor expansion of z in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.510 * [taylor]: Taking taylor expansion of (* x y) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.510 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.510 * [taylor]: Taking taylor expansion of 3 in z 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.510 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.510 * [taylor]: Taking taylor expansion of z in z 0.511 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.511 * [taylor]: Taking taylor expansion of (* x y) in z 0.511 * [taylor]: Taking taylor expansion of x in z 0.511 * [taylor]: Taking taylor expansion of y in z 0.511 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.511 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.511 * [taylor]: Taking taylor expansion of 3 in z 0.511 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.511 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.511 * [taylor]: Taking taylor expansion of z in z 0.511 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.511 * [taylor]: Taking taylor expansion of (* x y) in z 0.511 * [taylor]: Taking taylor expansion of x in z 0.511 * [taylor]: Taking taylor expansion of y in z 0.512 * [taylor]: Taking taylor expansion of 3 in x 0.514 * [taylor]: Taking taylor expansion of 0 in x 0.514 * [taylor]: Taking taylor expansion of 3 in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.515 * [taylor]: Taking taylor expansion of (* x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in x 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in x 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * * * [progress]: simplifying candidates 0.529 * [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)) 0.533 * * [simplify]: iteration 0 : 176 enodes (cost 174 ) 0.537 * * [simplify]: iteration 1 : 664 enodes (cost 155 ) 0.552 * * [simplify]: iteration 2 : 2741 enodes (cost 148 ) 0.613 * * [simplify]: iteration 3 : 5002 enodes (cost 148 ) 0.614 * [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)) 0.614 * * * [progress]: adding candidates to table 0.889 * * [progress]: iteration 3 / 4 0.889 * * * [progress]: picking best candidate 0.893 * * * * [pick]: Picked # 0.893 * * * [progress]: localizing error 0.899 * * * [progress]: generating rewritten candidates 0.899 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.906 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.914 * * * [progress]: generating series expansions 0.914 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.914 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.914 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.914 * [taylor]: Taking taylor expansion of 3 in z 0.914 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.914 * [taylor]: Taking taylor expansion of z in z 0.914 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.914 * [taylor]: Taking taylor expansion of 3 in z 0.914 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.914 * [taylor]: Taking taylor expansion of z in z 0.922 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.922 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.922 * [taylor]: Taking taylor expansion of 3 in z 0.922 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.922 * [taylor]: Taking taylor expansion of z in z 0.922 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.923 * [taylor]: Taking taylor expansion of 3 in z 0.923 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.923 * [taylor]: Taking taylor expansion of z in z 0.934 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.934 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.934 * [taylor]: Taking taylor expansion of 3 in z 0.934 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.934 * [taylor]: Taking taylor expansion of z in z 0.934 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.934 * [taylor]: Taking taylor expansion of 3 in z 0.935 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.935 * [taylor]: Taking taylor expansion of z in z 0.942 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.942 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.942 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.942 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.942 * [taylor]: Taking taylor expansion of 3 in y 0.942 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.942 * [taylor]: Taking taylor expansion of z in y 0.942 * [taylor]: Taking taylor expansion of (* x y) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.942 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.942 * [taylor]: Taking taylor expansion of 3 in x 0.942 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.942 * [taylor]: Taking taylor expansion of z in x 0.942 * [taylor]: Taking taylor expansion of (* x y) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.942 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.942 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.942 * [taylor]: Taking taylor expansion of 3 in z 0.942 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.942 * [taylor]: Taking taylor expansion of z in z 0.942 * [taylor]: Taking taylor expansion of (* x y) in z 0.942 * [taylor]: Taking taylor expansion of x in z 0.942 * [taylor]: Taking taylor expansion of y in z 0.942 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.942 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.942 * [taylor]: Taking taylor expansion of 3 in z 0.942 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.942 * [taylor]: Taking taylor expansion of z in z 0.942 * [taylor]: Taking taylor expansion of (* x y) in z 0.943 * [taylor]: Taking taylor expansion of x in z 0.943 * [taylor]: Taking taylor expansion of y in z 0.943 * [taylor]: Taking taylor expansion of (* x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of 0 in x 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of 3 in x 0.944 * [taylor]: Taking taylor expansion of 3 in y 0.944 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.947 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.948 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.948 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.948 * [taylor]: Taking taylor expansion of 3 in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.948 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.948 * [taylor]: Taking taylor expansion of z in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.948 * [taylor]: Taking taylor expansion of (* x y) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.948 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.948 * [taylor]: Taking taylor expansion of 3 in x 0.948 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.948 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.948 * [taylor]: Taking taylor expansion of z in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.949 * [taylor]: Taking taylor expansion of (* x y) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.949 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.949 * [taylor]: Taking taylor expansion of 3 in z 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.949 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.949 * [taylor]: Taking taylor expansion of z in z 0.949 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.950 * [taylor]: Taking taylor expansion of (* x y) in z 0.950 * [taylor]: Taking taylor expansion of x in z 0.950 * [taylor]: Taking taylor expansion of y in z 0.950 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.950 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.950 * [taylor]: Taking taylor expansion of 3 in z 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.950 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.950 * [taylor]: Taking taylor expansion of z in z 0.950 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.950 * [taylor]: Taking taylor expansion of (* x y) in z 0.950 * [taylor]: Taking taylor expansion of x in z 0.950 * [taylor]: Taking taylor expansion of y in z 0.951 * [taylor]: Taking taylor expansion of 3 in x 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.952 * [taylor]: Taking taylor expansion of 3 in y 0.954 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.954 * [taylor]: Taking taylor expansion of (* x y) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.954 * [taylor]: Taking taylor expansion of y in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.955 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [taylor]: Taking taylor expansion of 0 in x 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of 0 in x 0.960 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.962 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.962 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.962 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.962 * [taylor]: Taking taylor expansion of 3 in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.962 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.962 * [taylor]: Taking taylor expansion of z in y 0.962 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.962 * [taylor]: Taking taylor expansion of (* x y) in y 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.962 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.962 * [taylor]: Taking taylor expansion of 3 in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.962 * [taylor]: Taking taylor expansion of z in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.963 * [taylor]: Taking taylor expansion of (* x y) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.963 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.963 * [taylor]: Taking taylor expansion of 3 in z 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.963 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.963 * [taylor]: Taking taylor expansion of z in z 0.963 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.963 * [taylor]: Taking taylor expansion of (* x y) in z 0.964 * [taylor]: Taking taylor expansion of x in z 0.964 * [taylor]: Taking taylor expansion of y in z 0.964 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.964 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.964 * [taylor]: Taking taylor expansion of 3 in z 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.964 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.964 * [taylor]: Taking taylor expansion of z in z 0.964 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.964 * [taylor]: Taking taylor expansion of (* x y) in z 0.964 * [taylor]: Taking taylor expansion of x in z 0.964 * [taylor]: Taking taylor expansion of y in z 0.965 * [taylor]: Taking taylor expansion of 3 in x 0.966 * [taylor]: Taking taylor expansion of 0 in x 0.966 * [taylor]: Taking taylor expansion of 3 in y 0.968 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.968 * [taylor]: Taking taylor expansion of (* x y) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.968 * [taylor]: Taking taylor expansion of y in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.970 * [taylor]: Taking taylor expansion of 0 in x 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [taylor]: Taking taylor expansion of 0 in x 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0 in y 0.975 * * * [progress]: simplifying candidates 0.976 * [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)) 0.979 * * [simplify]: iteration 0 : 185 enodes (cost 172 ) 0.984 * * [simplify]: iteration 1 : 865 enodes (cost 153 ) 1.006 * * [simplify]: iteration 2 : 4444 enodes (cost 147 ) 1.105 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 1.106 * [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)) 1.107 * * * [progress]: adding candidates to table 1.179 * * [progress]: iteration 4 / 4 1.179 * * * [progress]: picking best candidate 1.183 * * * * [pick]: Picked # 1.183 * * * [progress]: localizing error 1.190 * * * [progress]: generating rewritten candidates 1.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.200 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.236 * * * [progress]: generating series expansions 1.236 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.236 * [approximate]: Taking taylor expansion of (* (sqrt 3) z) in (z) around 0 1.237 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 1.237 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.237 * [taylor]: Taking taylor expansion of 3 in z 1.237 * [taylor]: Taking taylor expansion of z in z 1.237 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 1.237 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.237 * [taylor]: Taking taylor expansion of 3 in z 1.238 * [taylor]: Taking taylor expansion of z in z 1.249 * [approximate]: Taking taylor expansion of (/ (sqrt 3) z) in (z) around 0 1.249 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.249 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.249 * [taylor]: Taking taylor expansion of 3 in z 1.252 * [taylor]: Taking taylor expansion of z in z 1.253 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.253 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.253 * [taylor]: Taking taylor expansion of 3 in z 1.253 * [taylor]: Taking taylor expansion of z in z 1.262 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in (z) around 0 1.262 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 1.262 * [taylor]: Taking taylor expansion of -1 in z 1.262 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.262 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.262 * [taylor]: Taking taylor expansion of 3 in z 1.262 * [taylor]: Taking taylor expansion of z in z 1.263 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 1.263 * [taylor]: Taking taylor expansion of -1 in z 1.263 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.263 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.263 * [taylor]: Taking taylor expansion of 3 in z 1.264 * [taylor]: Taking taylor expansion of z in z 1.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.277 * [approximate]: Taking taylor expansion of (* (sqrt 3) z) in (z) around 0 1.277 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 1.277 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.277 * [taylor]: Taking taylor expansion of 3 in z 1.278 * [taylor]: Taking taylor expansion of z in z 1.278 * [taylor]: Taking taylor expansion of (* (sqrt 3) z) in z 1.278 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.278 * [taylor]: Taking taylor expansion of 3 in z 1.279 * [taylor]: Taking taylor expansion of z in z 1.289 * [approximate]: Taking taylor expansion of (/ (sqrt 3) z) in (z) around 0 1.289 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.289 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.289 * [taylor]: Taking taylor expansion of 3 in z 1.290 * [taylor]: Taking taylor expansion of z in z 1.291 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.291 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.291 * [taylor]: Taking taylor expansion of 3 in z 1.291 * [taylor]: Taking taylor expansion of z in z 1.299 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in (z) around 0 1.299 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 1.299 * [taylor]: Taking taylor expansion of -1 in z 1.299 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.299 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.299 * [taylor]: Taking taylor expansion of 3 in z 1.300 * [taylor]: Taking taylor expansion of z in z 1.301 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 3) z)) in z 1.301 * [taylor]: Taking taylor expansion of -1 in z 1.301 * [taylor]: Taking taylor expansion of (/ (sqrt 3) z) in z 1.301 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.301 * [taylor]: Taking taylor expansion of 3 in z 1.301 * [taylor]: Taking taylor expansion of z in z 1.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.315 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.315 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.315 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.315 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.315 * [taylor]: Taking taylor expansion of 3 in z 1.316 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.316 * [taylor]: Taking taylor expansion of z in z 1.316 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.316 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.316 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.316 * [taylor]: Taking taylor expansion of 3 in z 1.317 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.317 * [taylor]: Taking taylor expansion of z in z 1.338 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.338 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.338 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.338 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.338 * [taylor]: Taking taylor expansion of 3 in z 1.339 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.339 * [taylor]: Taking taylor expansion of z in z 1.341 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.341 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.341 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.341 * [taylor]: Taking taylor expansion of 3 in z 1.342 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.342 * [taylor]: Taking taylor expansion of z in z 1.360 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.360 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.360 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.360 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.360 * [taylor]: Taking taylor expansion of 3 in z 1.361 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.361 * [taylor]: Taking taylor expansion of z in z 1.363 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.363 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.363 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.363 * [taylor]: Taking taylor expansion of 3 in z 1.364 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.364 * [taylor]: Taking taylor expansion of z in z 1.382 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.382 * [approximate]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in (z x y) around 0 1.382 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in y 1.382 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in y 1.382 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.382 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.382 * [taylor]: Taking taylor expansion of 3 in y 1.383 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.383 * [taylor]: Taking taylor expansion of z in y 1.383 * [taylor]: Taking taylor expansion of (* x y) in y 1.383 * [taylor]: Taking taylor expansion of x in y 1.383 * [taylor]: Taking taylor expansion of y in y 1.383 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in x 1.383 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in x 1.383 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.383 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.383 * [taylor]: Taking taylor expansion of 3 in x 1.384 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.384 * [taylor]: Taking taylor expansion of z in x 1.384 * [taylor]: Taking taylor expansion of (* x y) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of y in x 1.384 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.384 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.384 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.384 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.384 * [taylor]: Taking taylor expansion of 3 in z 1.385 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.385 * [taylor]: Taking taylor expansion of z in z 1.385 * [taylor]: Taking taylor expansion of (* x y) in z 1.385 * [taylor]: Taking taylor expansion of x in z 1.385 * [taylor]: Taking taylor expansion of y in z 1.385 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.385 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.385 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.385 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.385 * [taylor]: Taking taylor expansion of 3 in z 1.386 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.386 * [taylor]: Taking taylor expansion of z in z 1.386 * [taylor]: Taking taylor expansion of (* x y) in z 1.386 * [taylor]: Taking taylor expansion of x in z 1.386 * [taylor]: Taking taylor expansion of y in z 1.386 * [taylor]: Taking taylor expansion of (* x y) in x 1.386 * [taylor]: Taking taylor expansion of x in x 1.386 * [taylor]: Taking taylor expansion of y in x 1.386 * [taylor]: Taking taylor expansion of 0 in y 1.386 * [taylor]: Taking taylor expansion of 0 in x 1.386 * [taylor]: Taking taylor expansion of 0 in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.390 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.390 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.390 * [taylor]: Taking taylor expansion of 3 in x 1.391 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.391 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.391 * [taylor]: Taking taylor expansion of 3 in y 1.393 * [taylor]: Taking taylor expansion of 0 in y 1.394 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [taylor]: Taking taylor expansion of 0 in x 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.400 * [taylor]: Taking taylor expansion of 0 in y 1.401 * [taylor]: Taking taylor expansion of 0 in y 1.403 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.403 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.403 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.403 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.403 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.403 * [taylor]: Taking taylor expansion of 3 in y 1.404 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.404 * [taylor]: Taking taylor expansion of z in y 1.406 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.406 * [taylor]: Taking taylor expansion of (* x y) in y 1.406 * [taylor]: Taking taylor expansion of x in y 1.406 * [taylor]: Taking taylor expansion of y in y 1.406 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.406 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.406 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.406 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.406 * [taylor]: Taking taylor expansion of 3 in x 1.407 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.407 * [taylor]: Taking taylor expansion of z in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.409 * [taylor]: Taking taylor expansion of (* x y) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.409 * [taylor]: Taking taylor expansion of y in x 1.409 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.409 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.409 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.409 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.409 * [taylor]: Taking taylor expansion of 3 in z 1.410 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.410 * [taylor]: Taking taylor expansion of z in z 1.412 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.412 * [taylor]: Taking taylor expansion of (* x y) in z 1.412 * [taylor]: Taking taylor expansion of x in z 1.412 * [taylor]: Taking taylor expansion of y in z 1.413 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.413 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.413 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.413 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.413 * [taylor]: Taking taylor expansion of 3 in z 1.413 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.413 * [taylor]: Taking taylor expansion of z in z 1.415 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.415 * [taylor]: Taking taylor expansion of (* x y) in z 1.415 * [taylor]: Taking taylor expansion of x in z 1.415 * [taylor]: Taking taylor expansion of y in z 1.417 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.417 * [taylor]: Taking taylor expansion of 3 in x 1.419 * [taylor]: Taking taylor expansion of 0 in x 1.420 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.420 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.420 * [taylor]: Taking taylor expansion of 3 in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.423 * [taylor]: Taking taylor expansion of (* x y) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of y in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of 0 in y 1.424 * [taylor]: Taking taylor expansion of 0 in y 1.428 * [taylor]: Taking taylor expansion of 0 in x 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.430 * [taylor]: Taking taylor expansion of 0 in y 1.435 * [taylor]: Taking taylor expansion of 0 in x 1.435 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.436 * [taylor]: Taking taylor expansion of 0 in y 1.437 * [taylor]: Taking taylor expansion of 0 in y 1.439 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.439 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.439 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.439 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.439 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.439 * [taylor]: Taking taylor expansion of 3 in y 1.440 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.440 * [taylor]: Taking taylor expansion of z in y 1.441 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.441 * [taylor]: Taking taylor expansion of (* x y) in y 1.441 * [taylor]: Taking taylor expansion of x in y 1.441 * [taylor]: Taking taylor expansion of y in y 1.442 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.442 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.442 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.442 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.442 * [taylor]: Taking taylor expansion of 3 in x 1.442 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.442 * [taylor]: Taking taylor expansion of z in x 1.444 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.444 * [taylor]: Taking taylor expansion of (* x y) in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of y in x 1.444 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.444 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.444 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.444 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.444 * [taylor]: Taking taylor expansion of 3 in z 1.445 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.445 * [taylor]: Taking taylor expansion of z in z 1.447 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.447 * [taylor]: Taking taylor expansion of (* x y) in z 1.447 * [taylor]: Taking taylor expansion of x in z 1.447 * [taylor]: Taking taylor expansion of y in z 1.447 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.447 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.447 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.447 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.447 * [taylor]: Taking taylor expansion of 3 in z 1.448 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.448 * [taylor]: Taking taylor expansion of z in z 1.450 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.450 * [taylor]: Taking taylor expansion of (* x y) in z 1.450 * [taylor]: Taking taylor expansion of x in z 1.450 * [taylor]: Taking taylor expansion of y in z 1.451 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.451 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.451 * [taylor]: Taking taylor expansion of 3 in x 1.453 * [taylor]: Taking taylor expansion of 0 in x 1.454 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.454 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.454 * [taylor]: Taking taylor expansion of 3 in y 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.457 * [taylor]: Taking taylor expansion of (* x y) in x 1.457 * [taylor]: Taking taylor expansion of x in x 1.457 * [taylor]: Taking taylor expansion of y in x 1.457 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.458 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.458 * [taylor]: Taking taylor expansion of 0 in y 1.463 * [taylor]: Taking taylor expansion of 0 in x 1.463 * [taylor]: Taking taylor expansion of 0 in y 1.463 * [taylor]: Taking taylor expansion of 0 in y 1.464 * [taylor]: Taking taylor expansion of 0 in y 1.469 * [taylor]: Taking taylor expansion of 0 in x 1.469 * [taylor]: Taking taylor expansion of 0 in y 1.470 * [taylor]: Taking taylor expansion of 0 in y 1.470 * [taylor]: Taking taylor expansion of 0 in y 1.471 * [taylor]: Taking taylor expansion of 0 in y 1.472 * * * [progress]: simplifying candidates 1.473 * [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)) 1.482 * * [simplify]: iteration 0 : 224 enodes (cost 485 ) 1.488 * * [simplify]: iteration 1 : 1066 enodes (cost 387 ) 1.520 * * [simplify]: iteration 2 : 5001 enodes (cost 379 ) 1.522 * [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)) 1.523 * * * [progress]: adding candidates to table 1.702 * [progress]: [Phase 3 of 3] Extracting. 1.702 * * [regime]: Finding splitpoints for: (# # # #) 1.703 * * * [regime-changes]: Trying 5 branch expressions: ((* z z) (* x y) z y x) 1.703 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.720 * * * * [regimes]: Trying to branch on (* x y) from (# # # #) 1.736 * * * * [regimes]: Trying to branch on z from (# # # #) 1.755 * * * * [regimes]: Trying to branch on y from (# # # #) 1.771 * * * * [regimes]: Trying to branch on x from (# # # #) 1.787 * * * [regime]: Found split indices: #