22.672 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)) 0.025 * * [simplify]: iteration 0 : 16 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 33 enodes (cost 4 ) 0.028 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 76 enodes (cost 3 ) 0.032 * * [simplify]: iteration 4 : 88 enodes (cost 3 ) 0.033 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.036 * * [simplify]: iteration 6 : 236 enodes (cost 3 ) 0.038 * * [simplify]: iteration 7 : 328 enodes (cost 3 ) 0.041 * * [simplify]: iteration 8 : 343 enodes (cost 3 ) 0.044 * * [simplify]: iteration 9 : 443 enodes (cost 3 ) 0.049 * * [simplify]: iteration 10 : 797 enodes (cost 3 ) 0.075 * * [simplify]: iteration 11 : 3499 enodes (cost 3 ) 0.297 * * [simplify]: iteration 12 : 5001 enodes (cost 3 ) 0.298 * [simplify]: Simplified to: (fma 3 (* z z) (* x y)) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.304 * * * * [pick]: Picked # 0.304 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.310 * * * [progress]: generating series expansions 0.310 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.310 * [approximate]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in (z x y) around 0 0.310 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in y 0.310 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.310 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.310 * [taylor]: Taking taylor expansion of 3 in y 0.310 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.310 * [taylor]: Taking taylor expansion of z in y 0.310 * [taylor]: Taking taylor expansion of (* x y) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in x 0.311 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.311 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.311 * [taylor]: Taking taylor expansion of 3 in x 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.311 * [taylor]: Taking taylor expansion of z in x 0.311 * [taylor]: Taking taylor expansion of (* x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.311 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.311 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.311 * [taylor]: Taking taylor expansion of 3 in z 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.311 * [taylor]: Taking taylor expansion of z in z 0.311 * [taylor]: Taking taylor expansion of (* x y) in z 0.311 * [taylor]: Taking taylor expansion of x in z 0.311 * [taylor]: Taking taylor expansion of y in z 0.311 * [taylor]: Taking taylor expansion of (fma 3 (pow z 2) (* x y)) in z 0.311 * [taylor]: Rewrote expression to (+ (* 3 (pow z 2)) (* x y)) 0.311 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.311 * [taylor]: Taking taylor expansion of 3 in z 0.311 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.311 * [taylor]: Taking taylor expansion of z in z 0.311 * [taylor]: Taking taylor expansion of (* x y) in z 0.311 * [taylor]: Taking taylor expansion of x in z 0.311 * [taylor]: Taking taylor expansion of y in z 0.311 * [taylor]: Taking taylor expansion of (* x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 3 in x 0.313 * [taylor]: Taking taylor expansion of 3 in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [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 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.317 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.317 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.317 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.317 * [taylor]: Taking taylor expansion of 3 in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.317 * [taylor]: Taking taylor expansion of z in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.317 * [taylor]: Taking taylor expansion of (* x y) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in x 0.317 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.317 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.317 * [taylor]: Taking taylor expansion of 3 in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.317 * [taylor]: Taking taylor expansion of z in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.318 * [taylor]: Taking taylor expansion of (* x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.318 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.318 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.318 * [taylor]: Taking taylor expansion of 3 in z 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.318 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.318 * [taylor]: Taking taylor expansion of z in z 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.319 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.319 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.319 * [taylor]: Taking taylor expansion of 3 in z 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) 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 (/ 1 (* x y)) 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 0.320 * [taylor]: Taking taylor expansion of 3 in x 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.323 * [taylor]: Taking taylor expansion of (* x y) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [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 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [approximate]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 0.331 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in y 0.331 * [taylor]: Rewrote expression to (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) 0.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.331 * [taylor]: Taking taylor expansion of 3 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.331 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.331 * [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 0.336 * [taylor]: Taking taylor expansion of (fma 3 (/ 1 (pow z 2)) (/ 1 (* x y))) in z 0.336 * [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 0.340 * [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 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [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 0.346 * [taylor]: Taking taylor expansion of 0 in x 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * * * [progress]: simplifying candidates 0.348 * [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)) 0.351 * * [simplify]: iteration 0 : 33 enodes (cost 59 ) 0.352 * * [simplify]: iteration 1 : 79 enodes (cost 52 ) 0.354 * * [simplify]: iteration 2 : 256 enodes (cost 52 ) 0.360 * * [simplify]: iteration 3 : 1025 enodes (cost 52 ) 0.395 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.396 * [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)) 0.396 * * * [progress]: adding candidates to table 0.421 * * [progress]: iteration 2 / 4 0.421 * * * [progress]: picking best candidate 0.429 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.434 * * * [progress]: generating rewritten candidates 0.434 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.440 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.448 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.448 * [taylor]: Taking taylor expansion of 3 in z 0.448 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.448 * [taylor]: Taking taylor expansion of z in z 0.448 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.448 * [taylor]: Taking taylor expansion of 3 in z 0.448 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.448 * [taylor]: Taking taylor expansion of z in z 0.456 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.456 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.456 * [taylor]: Taking taylor expansion of 3 in z 0.457 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.457 * [taylor]: Taking taylor expansion of z in z 0.457 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.457 * [taylor]: Taking taylor expansion of 3 in z 0.457 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.457 * [taylor]: Taking taylor expansion of z in z 0.469 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.469 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.469 * [taylor]: Taking taylor expansion of 3 in z 0.469 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.469 * [taylor]: Taking taylor expansion of z in z 0.470 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.470 * [taylor]: Taking taylor expansion of 3 in z 0.470 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.470 * [taylor]: Taking taylor expansion of z in z 0.482 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.482 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.482 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.482 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.482 * [taylor]: Taking taylor expansion of z in y 0.482 * [taylor]: Taking taylor expansion of (* x y) in y 0.482 * [taylor]: Taking taylor expansion of x in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.482 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.482 * [taylor]: Taking taylor expansion of 3 in x 0.482 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.483 * [taylor]: Taking taylor expansion of z in x 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.483 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.483 * [taylor]: Taking taylor expansion of 3 in z 0.483 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.483 * [taylor]: Taking taylor expansion of z in z 0.483 * [taylor]: Taking taylor expansion of (* x y) in z 0.483 * [taylor]: Taking taylor expansion of x in z 0.483 * [taylor]: Taking taylor expansion of y in z 0.483 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.483 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.483 * [taylor]: Taking taylor expansion of 3 in z 0.483 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.483 * [taylor]: Taking taylor expansion of z in z 0.483 * [taylor]: Taking taylor expansion of (* x y) in z 0.483 * [taylor]: Taking taylor expansion of x in z 0.483 * [taylor]: Taking taylor expansion of y in z 0.483 * [taylor]: Taking taylor expansion of (* x y) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [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 y in y 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.486 * [taylor]: Taking taylor expansion of 3 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.491 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.491 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.491 * [taylor]: Taking taylor expansion of 3 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.491 * [taylor]: Taking taylor expansion of z in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.491 * [taylor]: Taking taylor expansion of (* x y) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.492 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.492 * [taylor]: Taking taylor expansion of 3 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.492 * [taylor]: Taking taylor expansion of z in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.492 * [taylor]: Taking taylor expansion of (* x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.493 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.493 * [taylor]: Taking taylor expansion of 3 in z 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.493 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.493 * [taylor]: Taking taylor expansion of z in z 0.494 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.494 * [taylor]: Taking taylor expansion of (* x y) in z 0.494 * [taylor]: Taking taylor expansion of x in z 0.494 * [taylor]: Taking taylor expansion of y in z 0.494 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.494 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.494 * [taylor]: Taking taylor expansion of 3 in z 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.494 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.494 * [taylor]: Taking taylor expansion of z in z 0.495 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.495 * [taylor]: Taking taylor expansion of (* x y) in z 0.495 * [taylor]: Taking taylor expansion of x in z 0.495 * [taylor]: Taking taylor expansion of y in z 0.496 * [taylor]: Taking taylor expansion of 3 in x 0.498 * [taylor]: Taking taylor expansion of 0 in x 0.498 * [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 0.505 * [taylor]: Taking taylor expansion of 0 in x 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in x 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.513 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.513 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.513 * [taylor]: Taking taylor expansion of 3 in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.513 * [taylor]: Taking taylor expansion of z in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.513 * [taylor]: Taking taylor expansion of (* x y) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.514 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.514 * [taylor]: Taking taylor expansion of 3 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.514 * [taylor]: Taking taylor expansion of z in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.514 * [taylor]: Taking taylor expansion of (* x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.515 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.515 * [taylor]: Taking taylor expansion of 3 in z 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.515 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.515 * [taylor]: Taking taylor expansion of z in z 0.515 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.515 * [taylor]: Taking taylor expansion of (* x y) in z 0.515 * [taylor]: Taking taylor expansion of x in z 0.516 * [taylor]: Taking taylor expansion of y in z 0.516 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.516 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.516 * [taylor]: Taking taylor expansion of 3 in z 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.516 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.516 * [taylor]: Taking taylor expansion of z in z 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.517 * [taylor]: Taking taylor expansion of (* x y) in z 0.517 * [taylor]: Taking taylor expansion of x in z 0.517 * [taylor]: Taking taylor expansion of y in z 0.518 * [taylor]: Taking taylor expansion of 3 in x 0.520 * [taylor]: Taking taylor expansion of 0 in x 0.520 * [taylor]: Taking taylor expansion of 3 in y 0.523 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.523 * [taylor]: Taking taylor expansion of (* x y) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.523 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in x 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 0.532 * [taylor]: Taking taylor expansion of 0 in x 0.532 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * * * [progress]: simplifying candidates 0.535 * [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)) 0.541 * * [simplify]: iteration 0 : 176 enodes (cost 174 ) 0.547 * * [simplify]: iteration 1 : 664 enodes (cost 155 ) 0.567 * * [simplify]: iteration 2 : 2741 enodes (cost 148 ) 0.636 * * [simplify]: iteration 3 : 5002 enodes (cost 148 ) 0.638 * [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)) 0.638 * * * [progress]: adding candidates to table 0.697 * * [progress]: iteration 3 / 4 0.697 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.713 * * * [progress]: generating rewritten candidates 0.713 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.718 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.724 * [approximate]: Taking taylor expansion of (* 3 (pow z 2)) in (z) around 0 0.724 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.724 * [taylor]: Taking taylor expansion of 3 in z 0.724 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.724 * [taylor]: Taking taylor expansion of z in z 0.724 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.724 * [taylor]: Taking taylor expansion of 3 in z 0.724 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.724 * [taylor]: Taking taylor expansion of z in z 0.732 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.732 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.732 * [taylor]: Taking taylor expansion of 3 in z 0.732 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.732 * [taylor]: Taking taylor expansion of z in z 0.733 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.733 * [taylor]: Taking taylor expansion of 3 in z 0.733 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.733 * [taylor]: Taking taylor expansion of z in z 0.740 * [approximate]: Taking taylor expansion of (/ 3 (pow z 2)) in (z) around 0 0.740 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.741 * [taylor]: Taking taylor expansion of 3 in z 0.741 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.741 * [taylor]: Taking taylor expansion of z in z 0.741 * [taylor]: Taking taylor expansion of (/ 3 (pow z 2)) in z 0.741 * [taylor]: Taking taylor expansion of 3 in z 0.741 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.741 * [taylor]: Taking taylor expansion of z in z 0.749 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.749 * [approximate]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in (z x y) around 0 0.749 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in y 0.749 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in y 0.749 * [taylor]: Taking taylor expansion of 3 in y 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.749 * [taylor]: Taking taylor expansion of z in y 0.749 * [taylor]: Taking taylor expansion of (* x y) in y 0.749 * [taylor]: Taking taylor expansion of x in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in x 0.749 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in x 0.749 * [taylor]: Taking taylor expansion of 3 in x 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.749 * [taylor]: Taking taylor expansion of z in x 0.749 * [taylor]: Taking taylor expansion of (* x y) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of y in x 0.749 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.749 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.749 * [taylor]: Taking taylor expansion of 3 in z 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.749 * [taylor]: Taking taylor expansion of z in z 0.749 * [taylor]: Taking taylor expansion of (* x y) in z 0.749 * [taylor]: Taking taylor expansion of x in z 0.749 * [taylor]: Taking taylor expansion of y in z 0.749 * [taylor]: Taking taylor expansion of (+ (* 3 (pow z 2)) (* x y)) in z 0.749 * [taylor]: Taking taylor expansion of (* 3 (pow z 2)) in z 0.749 * [taylor]: Taking taylor expansion of 3 in z 0.749 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.749 * [taylor]: Taking taylor expansion of z in z 0.749 * [taylor]: Taking taylor expansion of (* x y) in z 0.749 * [taylor]: Taking taylor expansion of x in z 0.749 * [taylor]: Taking taylor expansion of y in z 0.750 * [taylor]: Taking taylor expansion of (* x y) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of 0 in x 0.750 * [taylor]: Taking taylor expansion of 0 in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of 3 in x 0.751 * [taylor]: Taking taylor expansion of 3 in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.753 * [taylor]: Taking taylor expansion of 0 in x 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.755 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.755 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.755 * [taylor]: Taking taylor expansion of 3 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.755 * [taylor]: Taking taylor expansion of z in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.755 * [taylor]: Taking taylor expansion of (* x y) in y 0.755 * [taylor]: Taking taylor expansion of x in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.755 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.755 * [taylor]: Taking taylor expansion of 3 in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.755 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.755 * [taylor]: Taking taylor expansion of z in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.756 * [taylor]: Taking taylor expansion of (* x y) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of y in x 0.756 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.756 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.756 * [taylor]: Taking taylor expansion of 3 in z 0.756 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.756 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.756 * [taylor]: Taking taylor expansion of z in z 0.756 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.757 * [taylor]: Taking taylor expansion of (* x y) in z 0.757 * [taylor]: Taking taylor expansion of x in z 0.757 * [taylor]: Taking taylor expansion of y in z 0.757 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.757 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.757 * [taylor]: Taking taylor expansion of 3 in z 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.757 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.757 * [taylor]: Taking taylor expansion of z in z 0.757 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.757 * [taylor]: Taking taylor expansion of (* x y) in z 0.757 * [taylor]: Taking taylor expansion of x in z 0.757 * [taylor]: Taking taylor expansion of y in z 0.758 * [taylor]: Taking taylor expansion of 3 in x 0.759 * [taylor]: Taking taylor expansion of 0 in x 0.759 * [taylor]: Taking taylor expansion of 3 in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.761 * [taylor]: Taking taylor expansion of (* x y) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.762 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in x 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.767 * [taylor]: Taking taylor expansion of 0 in x 0.767 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.768 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in (z x y) around 0 0.769 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in y 0.769 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in y 0.769 * [taylor]: Taking taylor expansion of 3 in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.769 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.769 * [taylor]: Taking taylor expansion of z in y 0.769 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.769 * [taylor]: Taking taylor expansion of (* x y) in y 0.769 * [taylor]: Taking taylor expansion of x in y 0.769 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in x 0.769 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in x 0.769 * [taylor]: Taking taylor expansion of 3 in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x 0.769 * [taylor]: Taking taylor expansion of (pow z 2) in x 0.769 * [taylor]: Taking taylor expansion of z in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.769 * [taylor]: Taking taylor expansion of (* x y) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.770 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.770 * [taylor]: Taking taylor expansion of 3 in z 0.770 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.770 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.770 * [taylor]: Taking taylor expansion of z in z 0.770 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.770 * [taylor]: Taking taylor expansion of (* x y) in z 0.770 * [taylor]: Taking taylor expansion of x in z 0.770 * [taylor]: Taking taylor expansion of y in z 0.771 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow z 2))) (/ 1 (* x y))) in z 0.771 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow z 2))) in z 0.771 * [taylor]: Taking taylor expansion of 3 in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.771 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.771 * [taylor]: Taking taylor expansion of z in z 0.771 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 0.771 * [taylor]: Taking taylor expansion of (* x y) in z 0.771 * [taylor]: Taking taylor expansion of x in z 0.771 * [taylor]: Taking taylor expansion of y in z 0.772 * [taylor]: Taking taylor expansion of 3 in x 0.773 * [taylor]: Taking taylor expansion of 0 in x 0.773 * [taylor]: Taking taylor expansion of 3 in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.775 * [taylor]: Taking taylor expansion of (* x y) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.777 * [taylor]: Taking taylor expansion of 0 in x 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.778 * [taylor]: Taking taylor expansion of 0 in y 0.781 * [taylor]: Taking taylor expansion of 0 in x 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * * * [progress]: simplifying candidates 0.783 * [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)) 0.787 * * [simplify]: iteration 0 : 185 enodes (cost 172 ) 0.792 * * [simplify]: iteration 1 : 865 enodes (cost 153 ) 0.817 * * [simplify]: iteration 2 : 4444 enodes (cost 147 ) 0.920 * * [simplify]: iteration 3 : 5001 enodes (cost 145 ) 0.922 * [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)) 0.922 * * * [progress]: adding candidates to table 0.995 * * [progress]: iteration 4 / 4 0.995 * * * [progress]: picking best candidate 1.000 * * * * [pick]: Picked # 1.000 * * * [progress]: localizing error 1.008 * * * [progress]: generating rewritten candidates 1.008 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.018 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.028 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.039 * * * [progress]: generating series expansions 1.040 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.040 * [approximate]: Taking taylor expansion of (* (sqrt 3) (pow z 2)) in (z) around 0 1.040 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow z 2)) in z 1.040 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.040 * [taylor]: Taking taylor expansion of 3 in z 1.041 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.041 * [taylor]: Taking taylor expansion of z in z 1.041 * [taylor]: Taking taylor expansion of (* (sqrt 3) (pow z 2)) in z 1.041 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.041 * [taylor]: Taking taylor expansion of 3 in z 1.042 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.042 * [taylor]: Taking taylor expansion of z in z 1.054 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow z 2)) in (z) around 0 1.054 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow z 2)) in z 1.054 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.054 * [taylor]: Taking taylor expansion of 3 in z 1.055 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.055 * [taylor]: Taking taylor expansion of z in z 1.056 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow z 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 1.069 * [approximate]: Taking taylor expansion of (/ (sqrt 3) (pow z 2)) in (z) around 0 1.069 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow z 2)) in z 1.069 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.069 * [taylor]: Taking taylor expansion of 3 in z 1.070 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.070 * [taylor]: Taking taylor expansion of z in z 1.071 * [taylor]: Taking taylor expansion of (/ (sqrt 3) (pow z 2)) in z 1.071 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.071 * [taylor]: Taking taylor expansion of 3 in z 1.071 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.072 * [taylor]: Taking taylor expansion of z in z 1.083 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.084 * [approximate]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.084 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.084 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.084 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.084 * [taylor]: Taking taylor expansion of 3 in z 1.085 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.085 * [taylor]: Taking taylor expansion of z in z 1.085 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.085 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.085 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.085 * [taylor]: Taking taylor expansion of 3 in z 1.085 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.085 * [taylor]: Taking taylor expansion of z in z 1.108 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.108 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.108 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.108 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.109 * [taylor]: Taking taylor expansion of 3 in z 1.109 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.109 * [taylor]: Taking taylor expansion of z in z 1.111 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.111 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.111 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.111 * [taylor]: Taking taylor expansion of 3 in z 1.112 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.112 * [taylor]: Taking taylor expansion of z in z 1.131 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in (z) around 0 1.131 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.131 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.131 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.131 * [taylor]: Taking taylor expansion of 3 in z 1.132 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.132 * [taylor]: Taking taylor expansion of z in z 1.134 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.134 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.134 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.134 * [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 1.154 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.154 * [approximate]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in (z x y) around 0 1.154 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in y 1.154 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in y 1.154 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.154 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.154 * [taylor]: Taking taylor expansion of 3 in y 1.155 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.155 * [taylor]: Taking taylor expansion of z in y 1.155 * [taylor]: Taking taylor expansion of (* x y) in y 1.155 * [taylor]: Taking taylor expansion of x in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.155 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in x 1.155 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.155 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.155 * [taylor]: Taking taylor expansion of 3 in x 1.156 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.156 * [taylor]: Taking taylor expansion of z in x 1.156 * [taylor]: Taking taylor expansion of (* x y) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of y in x 1.156 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.156 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.156 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.156 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.156 * [taylor]: Taking taylor expansion of 3 in z 1.157 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.157 * [taylor]: Taking taylor expansion of z in z 1.157 * [taylor]: Taking taylor expansion of (* x y) in z 1.157 * [taylor]: Taking taylor expansion of x in z 1.157 * [taylor]: Taking taylor expansion of y in z 1.157 * [taylor]: Taking taylor expansion of (+ (* (pow (sqrt 3) 2) (pow z 2)) (* x y)) in z 1.157 * [taylor]: Taking taylor expansion of (* (pow (sqrt 3) 2) (pow z 2)) in z 1.157 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.157 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.157 * [taylor]: Taking taylor expansion of 3 in z 1.158 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.158 * [taylor]: Taking taylor expansion of z in z 1.158 * [taylor]: Taking taylor expansion of (* x y) in z 1.158 * [taylor]: Taking taylor expansion of x in z 1.158 * [taylor]: Taking taylor expansion of y in z 1.158 * [taylor]: Taking taylor expansion of (* x y) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.162 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.162 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.162 * [taylor]: Taking taylor expansion of 3 in x 1.163 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.163 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.163 * [taylor]: Taking taylor expansion of 3 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.166 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [taylor]: Taking taylor expansion of 0 in x 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.169 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.172 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.172 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.172 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.172 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.172 * [taylor]: Taking taylor expansion of 3 in y 1.172 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.172 * [taylor]: Taking taylor expansion of z in y 1.174 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.174 * [taylor]: Taking taylor expansion of (* x y) in y 1.174 * [taylor]: Taking taylor expansion of x in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.174 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.174 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.174 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.174 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.174 * [taylor]: Taking taylor expansion of 3 in x 1.175 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.175 * [taylor]: Taking taylor expansion of z in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.182 * [taylor]: Taking taylor expansion of (* x y) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.182 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.182 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.182 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.182 * [taylor]: Taking taylor expansion of 3 in z 1.183 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.183 * [taylor]: Taking taylor expansion of z in z 1.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.185 * [taylor]: Taking taylor expansion of (* x y) in z 1.185 * [taylor]: Taking taylor expansion of x in z 1.185 * [taylor]: Taking taylor expansion of y in z 1.185 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.185 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.185 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.185 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.185 * [taylor]: Taking taylor expansion of 3 in z 1.186 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.186 * [taylor]: Taking taylor expansion of z in z 1.188 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.188 * [taylor]: Taking taylor expansion of (* x y) in z 1.188 * [taylor]: Taking taylor expansion of x in z 1.188 * [taylor]: Taking taylor expansion of y in z 1.189 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.189 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.189 * [taylor]: Taking taylor expansion of 3 in x 1.191 * [taylor]: Taking taylor expansion of 0 in x 1.192 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.192 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.192 * [taylor]: Taking taylor expansion of 3 in y 1.195 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.195 * [taylor]: Taking taylor expansion of (* x y) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.195 * [taylor]: Taking taylor expansion of y in x 1.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.196 * [taylor]: Taking taylor expansion of y in y 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in x 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.203 * [taylor]: Taking taylor expansion of 0 in y 1.207 * [taylor]: Taking taylor expansion of 0 in x 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [taylor]: Taking taylor expansion of 0 in y 1.208 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [approximate]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in (z x y) around 0 1.211 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in y 1.211 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in y 1.211 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.211 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.211 * [taylor]: Taking taylor expansion of 3 in y 1.211 * [taylor]: Taking taylor expansion of (pow z 2) in y 1.212 * [taylor]: Taking taylor expansion of z in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.213 * [taylor]: Taking taylor expansion of (* x y) in y 1.213 * [taylor]: Taking taylor expansion of x in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in x 1.213 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.213 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.213 * [taylor]: Taking taylor expansion of 3 in x 1.214 * [taylor]: Taking taylor expansion of (pow z 2) in x 1.214 * [taylor]: Taking taylor expansion of z in x 1.216 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.216 * [taylor]: Taking taylor expansion of (* x y) in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of y in x 1.216 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.216 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.216 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.216 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.216 * [taylor]: Taking taylor expansion of 3 in z 1.217 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.217 * [taylor]: Taking taylor expansion of z in z 1.219 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.219 * [taylor]: Taking taylor expansion of (* x y) in z 1.219 * [taylor]: Taking taylor expansion of x in z 1.219 * [taylor]: Taking taylor expansion of y in z 1.219 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt 3) 2) (pow z 2)) (/ 1 (* x y))) in z 1.219 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 3) 2) (pow z 2)) in z 1.219 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in z 1.219 * [taylor]: Taking taylor expansion of (sqrt 3) in z 1.219 * [taylor]: Taking taylor expansion of 3 in z 1.220 * [taylor]: Taking taylor expansion of (pow z 2) in z 1.220 * [taylor]: Taking taylor expansion of z in z 1.222 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in z 1.222 * [taylor]: Taking taylor expansion of (* x y) in z 1.222 * [taylor]: Taking taylor expansion of x in z 1.222 * [taylor]: Taking taylor expansion of y in z 1.223 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in x 1.223 * [taylor]: Taking taylor expansion of (sqrt 3) in x 1.223 * [taylor]: Taking taylor expansion of 3 in x 1.225 * [taylor]: Taking taylor expansion of 0 in x 1.226 * [taylor]: Taking taylor expansion of (pow (sqrt 3) 2) in y 1.226 * [taylor]: Taking taylor expansion of (sqrt 3) in y 1.226 * [taylor]: Taking taylor expansion of 3 in y 1.229 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.229 * [taylor]: Taking taylor expansion of (* x y) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of y in x 1.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.230 * [taylor]: Taking taylor expansion of y in y 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.231 * [taylor]: Taking taylor expansion of 0 in y 1.235 * [taylor]: Taking taylor expansion of 0 in x 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.236 * [taylor]: Taking taylor expansion of 0 in y 1.237 * [taylor]: Taking taylor expansion of 0 in y 1.241 * [taylor]: Taking taylor expansion of 0 in x 1.241 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.242 * [taylor]: Taking taylor expansion of 0 in y 1.243 * [taylor]: Taking taylor expansion of 0 in y 1.244 * * * [progress]: simplifying candidates 1.245 * [simplify]: Simplifying using # : (expm1 (* (sqrt 3) (* z z))) (log1p (* (sqrt 3) (* z z))) (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z)) (+ (log (sqrt 3)) (+ (log z) (log z))) (+ (log (sqrt 3)) (log (* z z))) (log (* (sqrt 3) (* z z))) (exp (* (sqrt 3) (* z z))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* z z) z) (* (* z z) z))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* z z) (* z z)) (* z z))) (* (cbrt (* (sqrt 3) (* z z))) (cbrt (* (sqrt 3) (* z z)))) (cbrt (* (sqrt 3) (* z z))) (* (* (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z))) (* (sqrt 3) (* z z))) (sqrt (* (sqrt 3) (* z z))) (sqrt (* (sqrt 3) (* z z))) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (cbrt (sqrt 3)) (* z z)) (* (sqrt (cbrt 3)) (* z z)) (* (sqrt (sqrt 3)) (* z z)) (* (sqrt 3) (* z z)) (* (sqrt (sqrt 3)) (* z z)) (* (sqrt 3) (* z z)) (expm1 (* (sqrt 3) (* (sqrt 3) (* z z)))) (log1p (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (+ (log z) (log z)))) (+ (log (sqrt 3)) (+ (log (sqrt 3)) (log (* z z)))) (+ (log (sqrt 3)) (log (* (sqrt 3) (* z z)))) (log (* (sqrt 3) (* (sqrt 3) (* z z)))) (exp (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* z z) z) (* (* z z) z)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* z z) (* z z)) (* z z)))) (* (* (* (sqrt 3) (sqrt 3)) (sqrt 3)) (* (* (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z))) (* (sqrt 3) (* z z)))) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* z z))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (* (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (sqrt 3) (* (sqrt 3) (* z z)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (sqrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (sqrt 3) (sqrt 3)) (* (cbrt (sqrt 3)) (* (sqrt 3) (* z z))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* z z))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z))) (expm1 (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (log1p (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (* (exp (* (sqrt 3) (* (sqrt 3) (* z z)))) (exp (* x y))) (log (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (exp (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (* (* (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y)) (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (+ (pow (* (sqrt 3) (* (sqrt 3) (* z z))) 3) (pow (* x y) 3)) (+ (* (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z)))) (- (* (* x y) (* x y)) (* (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y)))) (- (* (* (sqrt 3) (* (sqrt 3) (* z z))) (* (sqrt 3) (* (sqrt 3) (* z z)))) (* (* x y) (* x y))) (- (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y)) (* (sqrt 3) (pow z 2)) (* (sqrt 3) (pow z 2)) (* (sqrt 3) (pow z 2)) (* (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)) 1.250 * * [simplify]: iteration 0 : 247 enodes (cost 426 ) 1.255 * * [simplify]: iteration 1 : 1012 enodes (cost 342 ) 1.279 * * [simplify]: iteration 2 : 4626 enodes (cost 321 ) 1.414 * * [simplify]: iteration 3 : 5001 enodes (cost 321 ) 1.418 * [simplify]: Simplified to: (expm1 (* (sqrt 3) (* z z))) (log1p (* (sqrt 3) (* z z))) (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z)) (log (* (sqrt 3) (* z z))) (log (* (sqrt 3) (* z z))) (log (* (sqrt 3) (* z z))) (exp (* (sqrt 3) (* z z))) (pow (* (sqrt 3) (* z z)) 3) (pow (* (sqrt 3) (* z z)) 3) (* (cbrt (* (sqrt 3) (* z z))) (cbrt (* (sqrt 3) (* z z)))) (cbrt (* (sqrt 3) (* z z))) (pow (* (sqrt 3) (* z z)) 3) (sqrt (* (sqrt 3) (* z z))) (sqrt (* (sqrt 3) (* z z))) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt (sqrt 3)) z) (* (sqrt 3) z) (* (cbrt (sqrt 3)) (* z z)) (* (sqrt (cbrt 3)) (* z z)) (* (sqrt (sqrt 3)) (* z z)) (* (sqrt 3) (* z z)) (* (sqrt (sqrt 3)) (* z z)) (* (sqrt 3) (* z z)) (expm1 (* (sqrt 3) (* (sqrt 3) (* z z)))) (log1p (* (sqrt 3) (* (sqrt 3) (* z z)))) (* 3 (pow z 2)) (* 3 (pow z 2)) (* 3 (pow z 2)) (fma 2 (log z) (log 3)) (fma 2 (log z) (log 3)) (fma 2 (log z) (log 3)) (fma 2 (log z) (log 3)) (pow (exp 3) (pow z 2)) (pow (* 3 (pow z 2)) 3) (pow (* 3 (pow z 2)) 3) (pow (* 3 (pow z 2)) 3) (* (cbrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (cbrt (* (sqrt 3) (* (sqrt 3) (* z z))))) (cbrt (* (sqrt 3) (* (sqrt 3) (* z z)))) (pow (* 3 (pow z 2)) 3) (fabs (* (sqrt 3) z)) (fabs (* (sqrt 3) z)) 3 (* (cbrt (sqrt 3)) (* (sqrt 3) (* z z))) (* (sqrt (cbrt 3)) (* (sqrt 3) (* z z))) (* (sqrt (sqrt 3)) (* (sqrt 3) (* z z))) (* 3 (pow z 2)) (* (sqrt (sqrt 3)) (* (sqrt 3) (* z z))) (* 3 (pow z 2)) (expm1 (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (log1p (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (exp (fma (pow z 2) 3 (* x y))) (log (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (exp (fma (pow z 2) 3 (* x y))) (* (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y)))) (cbrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (pow (fma (pow z 2) 3 (* x y)) 3) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (sqrt (+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))) (fma 27 (pow (pow z 2) 3) (pow (* x y) 3)) (fma 9 (pow z 4) (* y (* x (fma y x (- (* 3 (pow z 2))))))) (fma 9 (pow z 4) (- (* (* x y) (* x y)))) (fma 3 (pow z 2) (- (* x y))) (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z)) (* (sqrt 3) (* z z)) (* 3 (pow z 2)) (* 3 (pow z 2)) (* 3 (pow z 2)) (fma (pow z 2) 3 (* x y)) (fma (pow z 2) 3 (* x y)) (fma (pow z 2) 3 (* x y)) 1.418 * * * [progress]: adding candidates to table 1.540 * [progress]: [Phase 3 of 3] Extracting. 1.540 * * [regime]: Finding splitpoints for: (# # # # # #) 1.541 * * * [regime-changes]: Trying 5 branch expressions: ((* z z) (* x y) z y x) 1.541 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # #) 1.563 * * * * [regimes]: Trying to branch on (* z z) from (# # # #) 1.579 * * * * [regimes]: Trying to branch on (* x y) from (# # # # # #) 1.601 * * * * [regimes]: Trying to branch on z from (# # # # # #) 1.622 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.645 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.666 * * * [regime]: Found split indices: #