30.505 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.106 * * * [progress]: [2/2] Setting up program. 0.108 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying: (sin (pow (sqrt (atan2 b b)) (- b a))) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: Extracting # 3 : cost 0 0.109 * * [simplify]: Extracting # 4 : cost 0 0.109 * * [simplify]: Extracting # 5 : cost 0 0.109 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: Extracting # 1 : cost 0 0.110 * * [simplify]: Extracting # 2 : cost 0 0.110 * * [simplify]: Extracting # 3 : cost 0 0.110 * * [simplify]: iteration 1 : 16 enodes (cost 9 ) 0.113 * * [simplify]: Extracting # 0 : cost 0 0.113 * * [simplify]: Extracting # 1 : cost 0 0.113 * * [simplify]: Extracting # 2 : cost 0 0.114 * * [simplify]: Extracting # 3 : cost 0 0.114 * * [simplify]: Extracting # 4 : cost 0 0.114 * * [simplify]: iteration 2 : 46 enodes (cost 9 ) 0.167 * * [simplify]: Extracting # 0 : cost 0 0.167 * * [simplify]: Extracting # 1 : cost 0 0.167 * * [simplify]: Extracting # 2 : cost 0 0.167 * * [simplify]: Extracting # 3 : cost 0 0.168 * * [simplify]: Extracting # 4 : cost 0 0.168 * * [simplify]: Extracting # 5 : cost 0 0.168 * * [simplify]: iteration 3 : 189 enodes (cost 9 ) 11.007 * * [simplify]: Extracting # 0 : cost 0 11.370 * * [simplify]: Extracting # 1 : cost 0 11.379 * * [simplify]: Extracting # 2 : cost 0 11.392 * * [simplify]: Extracting # 3 : cost 0 11.404 * * [simplify]: Extracting # 4 : cost 0 11.415 * * [simplify]: Extracting # 5 : cost 0 11.424 * * [simplify]: Extracting # 6 : cost 0 11.433 * * [simplify]: iteration done: 5000 enodes (cost 9 ) 11.433 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 11.434 * * [progress]: iteration 1 / 4 11.434 * * * [progress]: picking best candidate 11.437 * * * * [pick]: Picked # 11.437 * * * [progress]: localizing error 11.451 * * * [progress]: generating rewritten candidates 11.451 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 11.454 * * * [progress]: generating series expansions 11.454 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 11.454 * [backup-simplify]: Simplify (sqrt (atan2 b b)) into (sqrt (atan2 b b)) 11.454 * [approximate]: Taking taylor expansion of (sqrt (atan2 b b)) in (b) around 0 11.454 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 11.454 * [taylor]: Taking taylor expansion of (atan2 b b) in b 11.454 * [backup-simplify]: Simplify (atan2 b b) into (atan2 b b) 11.454 * [backup-simplify]: Simplify (sqrt (atan2 b b)) into (sqrt (atan2 b b)) 11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 b b)))) into 0 11.454 * [taylor]: Taking taylor expansion of (sqrt (atan2 b b)) in b 11.454 * [taylor]: Taking taylor expansion of (atan2 b b) in b 11.454 * [backup-simplify]: Simplify (atan2 b b) into (atan2 b b) 11.454 * [backup-simplify]: Simplify (sqrt (atan2 b b)) into (sqrt (atan2 b b)) 11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 b b)))) into 0 11.454 * [backup-simplify]: Simplify (sqrt (atan2 b b)) into (sqrt (atan2 b b)) 11.454 * [backup-simplify]: Simplify 0 into 0 11.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 b b)))) into 0 11.455 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 b b)))) into 0 11.456 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 b b)))) into 0 11.457 * [backup-simplify]: Simplify 0 into 0 11.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 b b)))) into 0 11.457 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 b b)))) into 0 11.458 * [backup-simplify]: Simplify 0 into 0 11.458 * [backup-simplify]: Simplify (sqrt (atan2 b b)) into (sqrt (atan2 b b)) 11.458 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 b) (/ 1 b))) into (sqrt (atan2 (/ 1 b) (/ 1 b))) 11.458 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in (b) around 0 11.458 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 11.458 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 11.458 * [backup-simplify]: Simplify (atan2 (/ 1 b) (/ 1 b)) into (atan2 (/ 1 b) (/ 1 b)) 11.458 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 b) (/ 1 b))) into (sqrt (atan2 (/ 1 b) (/ 1 b))) 11.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.458 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ 1 b) (/ 1 b))) in b 11.458 * [taylor]: Taking taylor expansion of (atan2 (/ 1 b) (/ 1 b)) in b 11.458 * [backup-simplify]: Simplify (atan2 (/ 1 b) (/ 1 b)) into (atan2 (/ 1 b) (/ 1 b)) 11.459 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 b) (/ 1 b))) into (sqrt (atan2 (/ 1 b) (/ 1 b))) 11.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.459 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 b) (/ 1 b))) into (sqrt (atan2 (/ 1 b) (/ 1 b))) 11.459 * [backup-simplify]: Simplify 0 into 0 11.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.459 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.460 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.461 * [backup-simplify]: Simplify 0 into 0 11.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 b) (/ 1 b))))) into 0 11.462 * [backup-simplify]: Simplify 0 into 0 11.462 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 (/ 1 b)) (/ 1 (/ 1 b)))) into (sqrt (atan2 b b)) 11.462 * [backup-simplify]: Simplify (sqrt (atan2 (/ 1 (- b)) (/ 1 (- b)))) into (sqrt (atan2 (/ -1 b) (/ -1 b))) 11.462 * [approximate]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in (b) around 0 11.462 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 11.462 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 11.462 * [backup-simplify]: Simplify (atan2 (/ -1 b) (/ -1 b)) into (atan2 (/ -1 b) (/ -1 b)) 11.462 * [backup-simplify]: Simplify (sqrt (atan2 (/ -1 b) (/ -1 b))) into (sqrt (atan2 (/ -1 b) (/ -1 b))) 11.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.463 * [taylor]: Taking taylor expansion of (sqrt (atan2 (/ -1 b) (/ -1 b))) in b 11.463 * [taylor]: Taking taylor expansion of (atan2 (/ -1 b) (/ -1 b)) in b 11.463 * [backup-simplify]: Simplify (atan2 (/ -1 b) (/ -1 b)) into (atan2 (/ -1 b) (/ -1 b)) 11.463 * [backup-simplify]: Simplify (sqrt (atan2 (/ -1 b) (/ -1 b))) into (sqrt (atan2 (/ -1 b) (/ -1 b))) 11.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.463 * [backup-simplify]: Simplify (sqrt (atan2 (/ -1 b) (/ -1 b))) into (sqrt (atan2 (/ -1 b) (/ -1 b))) 11.463 * [backup-simplify]: Simplify 0 into 0 11.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.465 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.466 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 b) (/ -1 b))))) into 0 11.466 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify (sqrt (atan2 (/ -1 (/ 1 (- b))) (/ -1 (/ 1 (- b))))) into (sqrt (atan2 b b)) 11.466 * * * [progress]: simplifying candidates 11.467 * [simplify]: Simplifying: (expm1 (sqrt (atan2 b b))) (log1p (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (* (* (sqrt (atan2 b b)) (sqrt (atan2 b b))) (sqrt (atan2 b b))) (sqrt (* (cbrt (atan2 b b)) (cbrt (atan2 b b)))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt 1) (sqrt (atan2 b b)) (/ 1 2) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 11.467 * * [simplify]: Extracting # 0 : cost 0 11.467 * * [simplify]: Extracting # 1 : cost 0 11.468 * * [simplify]: Extracting # 2 : cost 0 11.468 * * [simplify]: Extracting # 3 : cost 0 11.468 * * [simplify]: Extracting # 4 : cost 0 11.468 * * [simplify]: Extracting # 5 : cost 0 11.468 * * [simplify]: Extracting # 6 : cost 0 11.468 * * [simplify]: iteration 0 : 20 enodes (cost 106 ) 11.473 * * [simplify]: Extracting # 0 : cost 0 11.473 * * [simplify]: Extracting # 1 : cost 0 11.473 * * [simplify]: Extracting # 2 : cost 0 11.473 * * [simplify]: iteration 1 : 26 enodes (cost 92 ) 11.476 * * [simplify]: Extracting # 0 : cost 0 11.476 * * [simplify]: Extracting # 1 : cost 0 11.476 * * [simplify]: Extracting # 2 : cost 0 11.476 * * [simplify]: Extracting # 3 : cost 0 11.476 * * [simplify]: Extracting # 4 : cost 0 11.476 * * [simplify]: iteration 2 : 33 enodes (cost 90 ) 11.482 * * [simplify]: Extracting # 0 : cost 0 11.482 * * [simplify]: Extracting # 1 : cost 0 11.482 * * [simplify]: Extracting # 2 : cost 0 11.482 * * [simplify]: Extracting # 3 : cost 0 11.482 * * [simplify]: iteration 3 : 58 enodes (cost 90 ) 11.530 * * [simplify]: Extracting # 0 : cost 0 11.530 * * [simplify]: Extracting # 1 : cost 0 11.530 * * [simplify]: Extracting # 2 : cost 0 11.530 * * [simplify]: Extracting # 3 : cost 0 11.531 * * [simplify]: Extracting # 4 : cost 0 11.531 * * [simplify]: iteration 4 : 167 enodes (cost 90 ) 11.688 * * [simplify]: Extracting # 0 : cost 0 11.689 * * [simplify]: Extracting # 1 : cost 0 11.690 * * [simplify]: Extracting # 2 : cost 0 11.691 * * [simplify]: Extracting # 3 : cost 0 11.691 * * [simplify]: Extracting # 4 : cost 0 11.692 * * [simplify]: iteration 5 : 700 enodes (cost 90 ) 17.053 * * [simplify]: Extracting # 0 : cost 0 17.057 * * [simplify]: Extracting # 1 : cost 0 17.059 * * [simplify]: Extracting # 2 : cost 0 17.062 * * [simplify]: Extracting # 3 : cost 0 17.064 * * [simplify]: Extracting # 4 : cost 0 17.066 * * [simplify]: Extracting # 5 : cost 0 17.069 * * [simplify]: iteration 6 : 4574 enodes (cost 90 ) 19.937 * * [simplify]: Extracting # 0 : cost 0 19.945 * * [simplify]: Extracting # 1 : cost 0 19.948 * * [simplify]: Extracting # 2 : cost 0 19.951 * * [simplify]: Extracting # 3 : cost 0 19.954 * * [simplify]: iteration done: 5000 enodes (cost 90 ) 19.954 * [simplify]: Simplified to: (expm1 (sqrt (atan2 b b))) (log1p (sqrt (atan2 b b))) (log (sqrt (atan2 b b))) (exp (sqrt (atan2 b b))) (* (cbrt (sqrt (atan2 b b))) (cbrt (sqrt (atan2 b b)))) (cbrt (sqrt (atan2 b b))) (pow (sqrt (atan2 b b)) 3) (fabs (cbrt (atan2 b b))) (sqrt (cbrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) 1 (sqrt (atan2 b b)) 1/2 (sqrt (sqrt (atan2 b b))) (sqrt (sqrt (atan2 b b))) (sqrt (atan2 b b)) (sqrt (atan2 b b)) (sqrt (atan2 b b)) 19.954 * * * [progress]: adding candidates to table 20.007 * [progress]: [Phase 3 of 3] Extracting. 20.009 * [simplify]: Simplifying: (sin (pow (sqrt (atan2 b b)) (- b a))) 20.009 * * [simplify]: Extracting # 0 : cost 0 20.009 * * [simplify]: Extracting # 1 : cost 0 20.009 * * [simplify]: Extracting # 2 : cost 0 20.009 * * [simplify]: Extracting # 3 : cost 0 20.009 * * [simplify]: Extracting # 4 : cost 0 20.009 * * [simplify]: Extracting # 5 : cost 0 20.009 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 20.010 * * [simplify]: Extracting # 0 : cost 0 20.010 * * [simplify]: iteration done: 7 enodes (cost 9 ) 20.010 * [simplify]: Simplified to: (sin (pow (sqrt (atan2 b b)) (- b a))) 25.049 * [regime-testing]: End program error score: 0.09970203943882879