18.840 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.379 * * * [progress]: [2/2] Setting up program. 0.383 * [progress]: [Phase 2 of 3] Improving. 0.383 * [simplify]: Simplifying using # : (* x (sqrt (- (* y y) (* z z)))) 0.508 * * [simplify]: iteration 0 : 6513 enodes (cost 10 ) 0.509 * [simplify]: Simplified to: (* x (sqrt (- (* y y) (* z z)))) 0.509 * * [progress]: iteration 1 / 4 0.509 * * * [progress]: picking best candidate 0.512 * * * * [pick]: Picked # 0.512 * * * [progress]: localizing error 0.519 * * * [progress]: generating rewritten candidates 0.519 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.523 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.527 * * * [progress]: generating series expansions 0.527 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.527 * [approximate]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in (y z) around 0 0.527 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in z 0.527 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.527 * [taylor]: Taking taylor expansion of y in z 0.527 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.527 * [taylor]: Taking taylor expansion of z in z 0.527 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.527 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.527 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.528 * [taylor]: Taking taylor expansion of z in y 0.528 * [taylor]: Taking taylor expansion of (sqrt (- (pow y 2) (pow z 2))) in y 0.528 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.528 * [taylor]: Taking taylor expansion of z in y 0.528 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.528 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.528 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.528 * [taylor]: Taking taylor expansion of z in z 0.528 * [taylor]: Taking taylor expansion of 0 in z 0.529 * [taylor]: Taking taylor expansion of (/ 1/2 (sqrt (neg (pow z 2)))) in z 0.529 * [taylor]: Taking taylor expansion of 1/2 in z 0.529 * [taylor]: Taking taylor expansion of (sqrt (neg (pow z 2))) in z 0.529 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.529 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.529 * [taylor]: Taking taylor expansion of z in z 0.529 * [taylor]: Taking taylor expansion of 0 in z 0.530 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.530 * [taylor]: Taking taylor expansion of y in z 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.530 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.530 * [taylor]: Taking taylor expansion of z in z 0.530 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.530 * [taylor]: Taking taylor expansion of z in y 0.530 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.530 * [taylor]: Taking taylor expansion of z in y 0.531 * [taylor]: Taking taylor expansion of 1 in z 0.531 * [taylor]: Taking taylor expansion of 0 in z 0.531 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.531 * [taylor]: Taking taylor expansion of -1/2 in z 0.531 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.531 * [taylor]: Taking taylor expansion of z in z 0.531 * [taylor]: Taking taylor expansion of 0 in z 0.532 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in (y z) around 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in z 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.532 * [taylor]: Taking taylor expansion of y in z 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.532 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.532 * [taylor]: Taking taylor expansion of z in z 0.532 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.532 * [taylor]: Taking taylor expansion of z in y 0.532 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.533 * [taylor]: Taking taylor expansion of z in y 0.533 * [taylor]: Taking taylor expansion of 1 in z 0.533 * [taylor]: Taking taylor expansion of 0 in z 0.533 * [taylor]: Taking taylor expansion of (/ -1/2 (pow z 2)) in z 0.533 * [taylor]: Taking taylor expansion of -1/2 in z 0.533 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.533 * [taylor]: Taking taylor expansion of z in z 0.534 * [taylor]: Taking taylor expansion of 0 in z 0.534 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.534 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in (y z) around 0 0.534 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in z 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.534 * [taylor]: Taking taylor expansion of y in z 0.534 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.534 * [taylor]: Taking taylor expansion of z in z 0.534 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.534 * [taylor]: Taking taylor expansion of z in y 0.534 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow z 2)) in y 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.534 * [taylor]: Taking taylor expansion of z in y 0.534 * [taylor]: Taking taylor expansion of (neg (pow z 2)) in z 0.534 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.534 * [taylor]: Taking taylor expansion of z in z 0.534 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [taylor]: Taking taylor expansion of 1 in z 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [taylor]: Taking taylor expansion of 0 in z 0.535 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.535 * [taylor]: Taking taylor expansion of y in z 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.535 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.535 * [taylor]: Taking taylor expansion of z in z 0.535 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.535 * [taylor]: Taking taylor expansion of z in y 0.536 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.536 * [taylor]: Taking taylor expansion of z in y 0.536 * [taylor]: Taking taylor expansion of 1 in z 0.536 * [taylor]: Taking taylor expansion of 0 in z 0.536 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.536 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.536 * [taylor]: Taking taylor expansion of z in z 0.536 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [taylor]: Taking taylor expansion of 0 in z 0.537 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in (y z) around 0 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in z 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z 0.537 * [taylor]: Taking taylor expansion of (pow y 2) in z 0.537 * [taylor]: Taking taylor expansion of y in z 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.537 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.537 * [taylor]: Taking taylor expansion of z in z 0.537 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.538 * [taylor]: Taking taylor expansion of z in y 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow z 2) in y 0.538 * [taylor]: Taking taylor expansion of z in y 0.538 * [taylor]: Taking taylor expansion of 1 in z 0.538 * [taylor]: Taking taylor expansion of 0 in z 0.538 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow z 2))) in z 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z 0.538 * [taylor]: Taking taylor expansion of (pow z 2) in z 0.538 * [taylor]: Taking taylor expansion of z in z 0.539 * [taylor]: Taking taylor expansion of 0 in z 0.539 * [taylor]: Taking taylor expansion of 0 in z 0.539 * * * [progress]: simplifying candidates 0.540 * [simplify]: Simplifying using # : (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (* (* (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z)))) (sqrt (- (* y y) (* z z)))) (sqrt (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z))))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt 1) (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow (* y y) 3) (pow (* z z) 3))) (sqrt (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z))))) (sqrt (- (* (* y y) (* y y)) (* (* z z) (* z z)))) (sqrt (+ (* y y) (* z z))) (/ 1 2) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (/ (exp (* y y)) (exp (* z z))) (log (- (* y y) (* z z))) (exp (- (* y y) (* z z))) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (* (* (- (* y y) (* z z)) (- (* y y) (* z z))) (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow (* y y) 3) (pow (* z z) 3)) (+ (* (* y y) (* y y)) (+ (* (* z z) (* z z)) (* (* y y) (* z z)))) (neg (* z z)) (- (* (* y y) (* y y)) (* (* z z) (* z z))) (+ (* y y) (* z z)) (+ y z) (- y z) (* z (sqrt (neg 1))) y (* -1 y) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) (- (pow y 2) (pow z 2)) 0.581 * * [simplify]: iteration 0 : 4920 enodes (cost 316 ) 0.581 * * [simplify]: iteration 1 : 4920 enodes (cost 316 ) 0.583 * [simplify]: Simplified to: (log (sqrt (- (* y y) (* z z)))) (exp (sqrt (- (* y y) (* z z)))) (* (cbrt (sqrt (- (* y y) (* z z)))) (cbrt (sqrt (- (* y y) (* z z))))) (cbrt (sqrt (- (* y y) (* z z)))) (pow (sqrt (- (* y y) (* z z))) 3) (fabs (cbrt (- (* y y) (* z z)))) (sqrt (cbrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) 1 (sqrt (- (* y y) (* z z))) (sqrt (+ y z)) (sqrt (- y z)) (sqrt (- (pow y 6) (pow z 6))) (sqrt (+ (pow y 4) (+ (pow z 4) (* y (* y (* z z)))))) (sqrt (- (pow y 4) (pow z 4))) (sqrt (+ (* y y) (* z z))) 1/2 (sqrt (sqrt (- (* y y) (* z z)))) (sqrt (sqrt (- (* y y) (* z z)))) (pow (exp (+ y z)) (- y z)) (log (- (* y y) (* z z))) (pow (exp (+ y z)) (- y z)) (* (cbrt (- (* y y) (* z z))) (cbrt (- (* y y) (* z z)))) (cbrt (- (* y y) (* z z))) (pow (- (* y y) (* z z)) 3) (sqrt (- (* y y) (* z z))) (sqrt (- (* y y) (* z z))) (- (pow y 6) (pow z 6)) (+ (pow y 4) (+ (pow z 4) (* y (* y (* z z))))) (* z (neg z)) (- (pow y 4) (pow z 4)) (+ (* y y) (* z z)) (+ y z) (- y z) (* z (sqrt -1)) y (neg y) (- (* y y) (* z z)) (- (* y y) (* z z)) (- (* y y) (* z z)) 0.583 * * * [progress]: adding candidates to table 0.625 * * [progress]: iteration 2 / 4 0.625 * * * [progress]: picking best candidate 0.630 * * * * [pick]: Picked # 0.630 * * * [progress]: localizing error 0.632 * * * [progress]: generating rewritten candidates 0.632 * * * [progress]: generating series expansions 0.632 * * * [progress]: simplifying candidates 0.633 * [simplify]: Simplifying using # : 0.635 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.635 * [simplify]: Simplified to: 0.635 * * * [progress]: adding candidates to table 0.635 * * [progress]: iteration 3 / 4 0.635 * * * [progress]: picking best candidate 0.638 * * * * [pick]: Picked # 0.638 * * * [progress]: localizing error 0.641 * * * [progress]: generating rewritten candidates 0.641 * * * [progress]: generating series expansions 0.641 * * * [progress]: simplifying candidates 0.641 * [simplify]: Simplifying using # : 0.643 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.643 * [simplify]: Simplified to: 0.643 * * * [progress]: adding candidates to table 0.643 * [progress]: [Phase 3 of 3] Extracting. 0.643 * * [regime]: Finding splitpoints for: (# # #) 0.644 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (- (* y y) (* z z)) (sqrt (- (* y y) (* z z))) (* x (sqrt (- (* y y) (* z z)))) z y x) 0.644 * * * * [regimes]: Trying to branch on (* z z) from (# # #) 0.694 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 0.738 * * * * [regimes]: Trying to branch on (- (* y y) (* z z)) from (# # #) 0.790 * * * * [regimes]: Trying to branch on (sqrt (- (* y y) (* z z))) from (# # #) 0.845 * * * * [regimes]: Trying to branch on (* x (sqrt (- (* y y) (* z z)))) from (# # #) 0.907 * * * * [regimes]: Trying to branch on z from (# # #) 0.966 * * * * [regimes]: Trying to branch on y from (# # #) 1.012 * * * * [regimes]: Trying to branch on x from (# # #) 1.091 * * * [regime]: Found split indices: #